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<div class="title">ArcLengthTools.hpp</div> </div>
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<a href="ArcLengthTools_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/** \file ArcLengthTools.cpp</span></div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * Implementation of arc-length control method</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> * FIXME: Some variables not comply with naming convention, need to be fixed.</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  </div>
<div class="line"><a name="l00011"></a><span class="lineno"> 11</span>  </div>
<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#ifndef __ARC_LENGTH_TOOLS_HPP__</span></div>
<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#define __ARC_LENGTH_TOOLS_HPP__</span></div>
<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="comment"></span> </div>
<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="comment"> * \brief Store variables for ArcLength analysis</span></div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"></span> </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> The constrain function if given by</span></div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> r_\lambda = f_\lambda(\mathbf{x},\lambda) - s^2</span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span> <span class="comment"> where \f$f_\lambda(\mathbf{x},\lambda)\f$ is some constrain function, which has</span></div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span> <span class="comment"> general form given by</span></div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="comment"> f_\lambda(\mathbf{x},\lambda) = \alpha f(\Delta\mathbf{x}) +</span></div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span> <span class="comment"> \beta^2 \Delta\lambda^2 \| \mathbf{F}_{\lambda} \|^2</span></div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span> <span class="comment"> where for example \f$f(\mathbf{x})=\|\Delta\mathbf{x}\|^2\f$ is some user</span></div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="comment"> defined</span></div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="comment"> function evaluating</span></div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span> <span class="comment"> increments vector of degrees of freedom \f$\Delta\mathbf{x}\f$. The increment</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span> <span class="comment"> vector is</span></div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span> <span class="comment"> \Delta \mathbf{x} = \mathbf{x}-\mathbf{x}_0</span></div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> and</span></div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span> <span class="comment"> \Delta \lambda = \lambda-\lambda_0.</span></div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> <span class="comment"></span> </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span> <span class="comment"> For convenience we assume that</span></div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span> <span class="comment"> \frac{\partial f}{\partial \mathbf{x}}\Delta \mathbf{x}</span></div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"> =</span></div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> \textrm{d}\mathbf{b} \Delta \mathbf{x},</span></div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"> as result linearised constrain equation takes form</span></div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> \textrm{d}\mathbf{b} \delta \Delta x +</span></div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"> D \delta \Delta\lambda - r_{\lambda} = 0</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span> <span class="comment"> where</span></div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span> <span class="comment"> D = 2\beta^2 \Delta\lambda \| \mathbf{F}_{\lambda} \|^2.</span></div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span> <span class="comment"></span> </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span> <span class="comment"> User need to implement functions calculating \f$f(\mathbf{x},\lambda)\f$, i.e.</span></div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span> <span class="comment"> function</span></div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"> \f$f(\|\Delta\mathbf{x}\|^2)\f$ and its derivative,</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> \f$\textrm{d}\mathbf{b}\f$.</span></div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"></span> </div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html"> 65</a></span> <span class="keyword">struct </span><a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> {</div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  </div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="keyword">virtual</span> <a class="code" href="structArcLengthCtx.html#a8979d85f473bbbcffd2ab8686308347a">~ArcLengthCtx</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  </div>
<div class="line"><a name="l00069"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a5c55f7620629e82e33bc99b121c616b4"> 69</a></span>  <a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &<a class="code" href="structArcLengthCtx.html#a5c55f7620629e82e33bc99b121c616b4">mField</a>;</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  </div>
<div class="line"><a name="l00071"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a138fd84af739b613cb2836ec05dd5190"> 71</a></span>  <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a138fd84af739b613cb2836ec05dd5190">s</a>; <span class="comment">///< arc length radius</span></div>
<div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#adc2b274415e11221cf017bbdbf161a23"> 72</a></span> <span class="comment"></span> <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#adc2b274415e11221cf017bbdbf161a23">beta</a>; <span class="comment">///< force scaling factor</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a4e1d2f38031b8b68d5da655ed352e330"> 73</a></span> <span class="comment"></span> <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a4e1d2f38031b8b68d5da655ed352e330">alpha</a>; <span class="comment">///< displacement scaling factor</span></div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> <span class="comment"></span> </div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#adc9c618224af831a074ec5713863fecb"> 75</a></span>  SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#adc9c618224af831a074ec5713863fecb">ghosTdLambda</a>;</div>
<div class="line"><a name="l00076"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#ad3f3ddf243182b852dcea020b4317b80"> 76</a></span>  <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#ad3f3ddf243182b852dcea020b4317b80">dLambda</a>; <span class="comment">///< increment of load factor</span></div>
<div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#aa3f9a5db9319800abc7333cb8a222e36"> 77</a></span> <span class="comment"></span> SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#aa3f9a5db9319800abc7333cb8a222e36">ghostDiag</a>;</div>
<div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a709864957de44d196a3d38497f16c719"> 78</a></span>  <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a709864957de44d196a3d38497f16c719">dIag</a>; <span class="comment">///< diagonal value</span></div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span> <span class="comment"></span> </div>
<div class="line"><a name="l00080"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a7820cfec64792edfe574ac8b5c50b534"> 80</a></span>  <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a7820cfec64792edfe574ac8b5c50b534">dx2</a>; <span class="comment">///< inner_prod(dX,dX)</span></div>
<div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a5ce3d7f42ade279eedcb9a5caabba78e"> 81</a></span> <span class="comment"></span> <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a5ce3d7f42ade279eedcb9a5caabba78e">F_lambda2</a>; <span class="comment">///< inner_prod(F_lambda,F_lambda);</span></div>
<div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a164a3826c3722ccc5cf0a4aafc752aba"> 82</a></span> <span class="comment"></span> <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a164a3826c3722ccc5cf0a4aafc752aba">res_lambda</a>; <span class="comment">///< f_lambda - s</span></div>
<div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a4e5203546585c984ac62431c95844e1b"> 83</a></span> <span class="comment"></span> SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#a4e5203546585c984ac62431c95844e1b">F_lambda</a>; <span class="comment">///< F_lambda reference load vector</span></div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span> <span class="comment"></span> SmartPetscObj<Vec></div>
<div class="line"><a name="l00085"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a0079d41867fb8220f34f89026d923255"> 85</a></span>  <a class="code" href="structArcLengthCtx.html#a0079d41867fb8220f34f89026d923255">db</a>; <span class="comment">///< db derivative of f(dx*dx), i.e. db = d[ f(dx*dx) ]/dx</span></div>
<div class="line"><a name="l00086"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#aec9a2f23580294ea2ddd716ffb0d09b3"> 86</a></span> <span class="comment"></span> SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#aec9a2f23580294ea2ddd716ffb0d09b3">xLambda</a>; <span class="comment">///< solution of eq. K*xLambda = F_lambda</span></div>
<div class="line"><a name="l00087"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#aa47c4ba25887157b3d100b379b0047bb"> 87</a></span> <span class="comment"></span> SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#aa47c4ba25887157b3d100b379b0047bb">x0</a>; <span class="comment">///< displacement vector at beginning of step</span></div>
<div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a2c30a1b434047e3248da11577b88945c"> 88</a></span> <span class="comment"></span> SmartPetscObj<Vec> <a class="code" href="structArcLengthCtx.html#a2c30a1b434047e3248da11577b88945c">dx</a>; <span class="comment">///< dx = x-x0</span></div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span> <span class="comment"></span><span class="comment"></span> </div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> <span class="comment"> * \brief set arc radius</span></div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structArcLengthCtx.html#a529ec863a2ac5ce59d042f4b45928a10">setS</a>(<span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a138fd84af739b613cb2836ec05dd5190">s</a>);</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span> <span class="comment"></span> </div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span> <span class="comment"> /**</span></div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span> <span class="comment"> * \brief set parameters controlling arc-length equations</span></div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span> <span class="comment"> * alpha controls off diagonal therms</span></div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span> <span class="comment"> * beta controls diagonal therm</span></div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structArcLengthCtx.html#a43651839c551b1837364b0027f6afb39">setAlphaBeta</a>(<span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#a4e1d2f38031b8b68d5da655ed352e330">alpha</a>, <span class="keywordtype">double</span> <a class="code" href="structArcLengthCtx.html#adc2b274415e11221cf017bbdbf161a23">beta</a>);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="structArcLengthCtx.html#a4a07467b6f87e9d9e7e4adcf24f5851a">ArcLengthCtx</a>(<a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &m_field, <span class="keyword">const</span> std::string &problem_name,</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <span class="keyword">const</span> std::string &<a class="code" href="poisson__2d__homogeneous_8cpp.html#a3917f3987bad1f4e24b85c9d0ab84a5e">field_name</a> = <span class="stringliteral">"LAMBDA"</span>);</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span> <span class="comment"></span> </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span> <span class="comment"> /** \brief Get global index of load factor</span></div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#ae8ffe9ffcddbe353a93e4d74e9730d80"> 107</a></span>  <a class="code" href="namespaceMoFEM_1_1Types.html#a2cb126d359d48ddf277e1985549b94a9">DofIdx</a> <a class="code" href="structArcLengthCtx.html#ae8ffe9ffcddbe353a93e4d74e9730d80">getPetscGlobalDofIdx</a>() {</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="keywordflow">return</span> <a class="code" href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">arcDofRawPtr</a>->getPetscGlobalDofIdx();</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  };</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="comment"></span> </div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="comment"> /** \brief Get local index of load factor</span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a234e101e109b8f8d64cb395cc15b5dd2"> 113</a></span>  <a class="code" href="namespaceMoFEM_1_1Types.html#a2cb126d359d48ddf277e1985549b94a9">DofIdx</a> <a class="code" href="structArcLengthCtx.html#a234e101e109b8f8d64cb395cc15b5dd2">getPetscLocalDofIdx</a>() { <span class="keywordflow">return</span> <a class="code" href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">arcDofRawPtr</a>->getPetscLocalDofIdx(); };</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"></span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> /** \brief Get value of load factor</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#a6ffd2a74538e24995825349557b570a7"> 117</a></span>  <a class="code" href="namespaceMoFEM_1_1Types.html#a3a53e1565cccd97a3133cac7b3a427f4">FieldData</a> &<a class="code" href="structArcLengthCtx.html#a6ffd2a74538e24995825349557b570a7">getFieldData</a>() { <span class="keywordflow">return</span> <a class="code" href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">arcDofRawPtr</a>->getFieldData(); }</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span> <span class="comment"></span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span> <span class="comment"> /** \brief Get proc owning lambda dof</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00121"></a><span class="lineno"><a class="line" href="structArcLengthCtx.html#adf05f7720b7d2ad4dc4ab16c1db105b9"> 121</a></span>  <span class="keywordtype">int</span> <a class="code" href="structArcLengthCtx.html#adf05f7720b7d2ad4dc4ab16c1db105b9">getPart</a>() { <span class="keywordflow">return</span> <a class="code" href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">arcDofRawPtr</a>->getPart(); };</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  NumeredDofEntity *<a class="code" href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">arcDofRawPtr</a>;</div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span> };</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  </div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="preprocessor">#ifdef __SNESCTX_HPP__</span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"></span> </div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> * \brief It is ctx structure passed to SNES solver</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="keyword">struct </span>ArcLengthSnesCtx : <span class="keyword">public</span> <a class="code" href="classSnesCtx.html">SnesCtx</a> {</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arcPtrRaw;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  </div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  ArcLengthSnesCtx(<a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &m_field, <span class="keyword">const</span> std::string &problem_name,</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw)</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  : <a class="code" href="classSnesCtx.html">SnesCtx</a>(m_field, problem_name), arcPtrRaw(arc_ptr_raw) {}</div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  </div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  ArcLengthSnesCtx(<a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &m_field, <span class="keyword">const</span> std::string &problem_name,</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  boost::shared_ptr<ArcLengthCtx> arc_ptr)</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  : <a class="code" href="classSnesCtx.html">SnesCtx</a>(m_field, problem_name), arcPtrRaw(arc_ptr.get()),</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  arcPtr(arc_ptr) {}</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  boost::shared_ptr<ArcLengthCtx> arcPtr;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span> };</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  </div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span> <span class="preprocessor">#endif //__SNESCTX_HPP__</span></div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="preprocessor">#ifdef __TSCTX_HPP__</span></div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"></span> </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> * \brief It is ctx structure passed to SNES solver</span></div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span> <span class="keyword">struct </span>ArcLengthTsCtx : <span class="keyword">public</span> TsCtx {</div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arcPtrRaw;</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span> <span class="comment"></span> </div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span> <span class="comment"> /// \deprecated use constructor with shared ptr</span></div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span> <span class="comment"></span> <a class="code" href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a> ArcLengthTsCtx(<a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &m_field,</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keyword">const</span> std::string &problem_name,</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw)</div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  : TsCtx(m_field, problem_name), arcPtrRaw(arc_ptr_raw) {}</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  </div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  ArcLengthTsCtx(<a class="code" href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::Interface</a> &m_field, <span class="keyword">const</span> std::string &problem_name,</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  boost::shared_ptr<ArcLengthCtx> arc_ptr)</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  : TsCtx(m_field, problem_name), arcPtrRaw(arc_ptr.get()),</div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  arcPtr(arc_ptr) {}</div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  boost::shared_ptr<ArcLengthCtx> arcPtr;</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> };</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span> <span class="preprocessor">#endif // __TSCTX_HPP__</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> <span class="comment"></span> </div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span> <span class="comment">/** \brief shell matrix for arc-length method</span></div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"></span> </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment"> Shell matrix which has structure:</span></div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span> <span class="comment"> \left[</span></div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span> <span class="comment"> \begin{array}{cc}</span></div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span> <span class="comment"> \mathbf{K} & -\mathbf{F}_\lambda \\</span></div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span> <span class="comment"> \textrm{d}\mathbf{b} & D</span></div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span> <span class="comment"> \end{array}</span></div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"> \right]</span></div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> \left\{</span></div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> \begin{array}{c}</span></div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> \delta \Delta \mathbf{x} \\</span></div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span> <span class="comment"> \delta \Delta \lambda</span></div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span> <span class="comment"> \end{array}</span></div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span> <span class="comment"> \right\}</span></div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span> <span class="comment"> =</span></div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span> <span class="comment"> \left[</span></div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span> <span class="comment"> \begin{array}{c}</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span> <span class="comment"> -\mathbf{f}_\textrm{int} \\</span></div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span> <span class="comment"> -r_\lambda</span></div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> <span class="comment"> \end{array}</span></div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span> <span class="comment"> \right]</span></div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span> <span class="comment"></span> </div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00205"></a><span class="lineno"><a class="line" href="structArcLengthMatShell.html"> 205</a></span> <span class="keyword">struct </span><a class="code" href="structArcLengthMatShell.html">ArcLengthMatShell</a> {</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  </div>
<div class="line"><a name="l00207"></a><span class="lineno"><a class="line" href="structArcLengthMatShell.html#a7bc4709b17f7d0fe47696124105ce02b"> 207</a></span>  SmartPetscObj<Mat> <a class="code" href="structArcLengthMatShell.html#a7bc4709b17f7d0fe47696124105ce02b">Aij</a>;</div>
<div class="line"><a name="l00208"></a><span class="lineno"><a class="line" href="structArcLengthMatShell.html#a09bc480be301540fbdbdf7d43f606b79"> 208</a></span>  <span class="keywordtype">string</span> <a class="code" href="structArcLengthMatShell.html#a09bc480be301540fbdbdf7d43f606b79">problemName</a>;</div>
<div class="line"><a name="l00209"></a><span class="lineno"><a class="line" href="structArcLengthMatShell.html#a1d0a5f00bf5d05694f095bdb48b5fb1f"> 209</a></span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *<a class="code" href="structArcLengthMatShell.html#a1d0a5f00bf5d05694f095bdb48b5fb1f">arcPtrRaw</a>; <span class="comment">// this is for back compatibility</span></div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="structArcLengthMatShell.html#a812a34e0b80e40f4aa5509afe798fb00">ArcLengthMatShell</a>(Mat aij, boost::shared_ptr<ArcLengthCtx> arc_ptr,</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <span class="keywordtype">string</span> problem_name);</div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keyword">virtual</span> <a class="code" href="structArcLengthMatShell.html#a9d3a824bdb209070536bd364c14ad5e7">~ArcLengthMatShell</a>() = <span class="keywordflow">default</span>;</div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span> <span class="comment"></span> </div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"> /// \deprecated use constructor with shared_ptr</span></div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"></span> <a class="code" href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a> <a class="code" href="structArcLengthMatShell.html#a812a34e0b80e40f4aa5509afe798fb00">ArcLengthMatShell</a>(Mat aij, <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw,</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  <span class="keywordtype">string</span> problem_name);</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structArcLengthMatShell.html#a8579333e5cf05396925a5d2ca8cc6bb1">setLambda</a>(<a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> ksp_x, <span class="keywordtype">double</span> *<a class="code" href="incompressible__elasticity_8cpp.html#a3db359547eed8cfd48ca821d95f577af">lambda</a>, ScatterMode scattermode);</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keyword">friend</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structArcLengthMatShell.html#a2fd16eae556635bb64c1ca15a126bdcc">ArcLengthMatMultShellOp</a>(Mat <a class="code" href="operators__tests_8cpp.html#aaea25cacd18f8fc7fbbaa4311fe33b72">A</a>, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> x, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> <a class="code" href="namespaceHenckyOps.html#a990086ab6bdc667b830a40f0ffb74aa3">f</a>);</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  </div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00223"></a><span class="lineno"><a class="line" href="structArcLengthMatShell.html#a66ef60492ab256bc22a9acc956a035ad"> 223</a></span>  boost::shared_ptr<ArcLengthCtx> <a class="code" href="structArcLengthMatShell.html#a66ef60492ab256bc22a9acc956a035ad">arcPtr</a>;</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span> };</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"></span> </div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> * mult operator for Arc Length Shell Mat</span></div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="ArcLengthTools_8hpp.html#a2fd16eae556635bb64c1ca15a126bdcc">ArcLengthMatMultShellOp</a>(Mat <a class="code" href="operators__tests_8cpp.html#aaea25cacd18f8fc7fbbaa4311fe33b72">A</a>, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> x, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> <a class="code" href="namespaceHenckyOps.html#a990086ab6bdc667b830a40f0ffb74aa3">f</a>);</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span> <span class="comment"></span> </div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span> <span class="comment"> * \brief structure for Arc Length pre-conditioner</span></div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00235"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html"> 235</a></span> <span class="keyword">struct </span><a class="code" href="structPCArcLengthCtx.html">PCArcLengthCtx</a> {</div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  </div>
<div class="line"><a name="l00237"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#adef928e5c28ea716a4567ab6cccc2b7f"> 237</a></span>  SmartPetscObj<KSP> <a class="code" href="structPCArcLengthCtx.html#adef928e5c28ea716a4567ab6cccc2b7f">kSP</a>;</div>
<div class="line"><a name="l00238"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#afffd918c1454f9afaba2c384c3b39bec"> 238</a></span>  SmartPetscObj<PC> <a class="code" href="structPCArcLengthCtx.html#afffd918c1454f9afaba2c384c3b39bec">pC</a>;</div>
<div class="line"><a name="l00239"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#ab5e1837c53f279f441c5dc0d339fa165"> 239</a></span>  SmartPetscObj<Mat> <a class="code" href="structPCArcLengthCtx.html#ab5e1837c53f279f441c5dc0d339fa165">shellAij</a>;</div>
<div class="line"><a name="l00240"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#a8dd981842c22699ef45b7b35f7c86f96"> 240</a></span>  SmartPetscObj<Mat> <a class="code" href="structPCArcLengthCtx.html#a8dd981842c22699ef45b7b35f7c86f96">Aij</a>;</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  </div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <a class="code" href="structPCArcLengthCtx.html#ac9bc71e4291fdf240d1f32e8e6991649">PCArcLengthCtx</a>(Mat shell_Aij, Mat aij,</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  boost::shared_ptr<ArcLengthCtx> arc_ptr);</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  </div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <a class="code" href="structPCArcLengthCtx.html#ac9bc71e4291fdf240d1f32e8e6991649">PCArcLengthCtx</a>(PC pc, Mat shell_Aij, Mat aij,</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  boost::shared_ptr<ArcLengthCtx> arc_ptr);</div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
<div class="line"><a name="l00248"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#a0a41ff922f5a09dd73fd699b244bb73e"> 248</a></span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *<a class="code" href="structPCArcLengthCtx.html#a0a41ff922f5a09dd73fd699b244bb73e">arcPtrRaw</a>; <span class="comment">// this is for back compatibility</span></div>
<div class="line"><a name="l00249"></a><span class="lineno"> 249</span> <span class="comment"></span> </div>
<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> /// \deprecated use with shared_ptr</span></div>
<div class="line"><a name="l00251"></a><span class="lineno"> 251</span> <span class="comment"></span> <a class="code" href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a> <a class="code" href="structPCArcLengthCtx.html#ac9bc71e4291fdf240d1f32e8e6991649">PCArcLengthCtx</a>(Mat shell_Aij, Mat aij, <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw);<span class="comment"></span></div>
<div class="line"><a name="l00252"></a><span class="lineno"> 252</span> <span class="comment"> /// \deprecated use with shared_ptr</span></div>
<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment"></span> <a class="code" href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a> <a class="code" href="structPCArcLengthCtx.html#ac9bc71e4291fdf240d1f32e8e6991649">PCArcLengthCtx</a>(PC pc, Mat shell_Aij, Mat aij,</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw);</div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  </div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <span class="keyword">friend</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structPCArcLengthCtx.html#a1b450459735a395f578c839530ea361e">PCApplyArcLength</a>(PC pc, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> pc_f, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> pc_x);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">friend</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structPCArcLengthCtx.html#a73e4d10b864c8cfda369c462f3ce5665">PCSetupArcLength</a>(PC pc);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  </div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00260"></a><span class="lineno"><a class="line" href="structPCArcLengthCtx.html#a5aff61b74db5a829508a1ade76a1de85"> 260</a></span>  boost::shared_ptr<ArcLengthCtx> <a class="code" href="structPCArcLengthCtx.html#a5aff61b74db5a829508a1ade76a1de85">arcPtr</a>;</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span> };</div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span> <span class="comment"></span> </div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span> <span class="comment"> * apply operator for Arc Length pre-conditioner</span></div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span> <span class="comment"> * solves K*pc_x = pc_f</span></div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span> <span class="comment"> * solves K*xLambda = -dF_lambda</span></div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span> <span class="comment"> * solves ddlambda = ( res_lambda - db*xLambda )/( diag + db*pc_x )</span></div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span> <span class="comment"> * calculate pc_x = pc_x + ddlambda*xLambda</span></div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="ArcLengthTools_8hpp.html#a1b450459735a395f578c839530ea361e">PCApplyArcLength</a>(PC pc, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> pc_f, <a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> pc_x);</div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment"></span> </div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span> <span class="comment"> * set up structure for Arc Length pre-conditioner</span></div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span> <span class="comment"></span> </div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span> <span class="comment"> * it sets pre-conditioner for matrix K</span></div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="ArcLengthTools_8hpp.html#a73e4d10b864c8cfda369c462f3ce5665">PCSetupArcLength</a>(PC pc);</div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span> <span class="comment"></span> </div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span> <span class="comment"> * \brief Zero F_lambda</span></div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00283"></a><span class="lineno"><a class="line" href="structZeroFLmabda.html"> 283</a></span> <span class="keyword">struct </span><a class="code" href="structZeroFLmabda.html">ZeroFLmabda</a> : <span class="keyword">public</span> <a class="code" href="classFEMethod.html">FEMethod</a> {</div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  </div>
<div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="structZeroFLmabda.html#a24b6cad593e8b77ca7f8914bd3f8422f"> 285</a></span>  boost::shared_ptr<ArcLengthCtx> <a class="code" href="structZeroFLmabda.html#a24b6cad593e8b77ca7f8914bd3f8422f">arcPtr</a>;</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  </div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="structZeroFLmabda.html#a0703e72d156be1f4628b9e1488119c4d">ZeroFLmabda</a>(boost::shared_ptr<ArcLengthCtx> arc_ptr);</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  </div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structZeroFLmabda.html#a535d41e9baae795603455cba3b5074f8">preProcess</a>();</div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span> };</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  </div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span> <span class="preprocessor">#ifdef __DIRICHLET_HPP__</span></div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span> <span class="comment"></span> </div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span> <span class="comment"> * \brief Assemble F_lambda into the right hand side</span></div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span> <span class="comment"> * postProcess - assembly F_lambda</span></div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span> <span class="keyword">struct </span>AssembleFlambda : <span class="keyword">public</span> <a class="code" href="classFEMethod.html">FEMethod</a> {</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  </div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  boost::shared_ptr<ArcLengthCtx> arcPtr;</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  </div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  AssembleFlambda(boost::shared_ptr<ArcLengthCtx> arc_ptr,</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  boost::shared_ptr<DirichletDisplacementBc> bc =</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  boost::shared_ptr<DirichletDisplacementBc>());</div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  </div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> preProcess();</div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> operator()();</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> postProcess();</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  </div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  <span class="keyword">inline</span> <span class="keywordtype">void</span> pushDirichletBC(boost::shared_ptr<DirichletDisplacementBc> bc) {</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  bCs.push_back(bc);</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  }</div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  </div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  std::vector<boost::shared_ptr<DirichletDisplacementBc>> bCs;</div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span> };</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span> <span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span> <span class="comment"></span> </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span> <span class="comment"> * |brief Simple arc-length control of force</span></div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span> <span class="comment"> * This is added for testing, it simply control force, i.e.</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span> <span class="comment"> * \f[</span></div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span> <span class="comment"> * \lambda = s</span></div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span> <span class="comment"> * \f]</span></div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span> <span class="comment"> *</span></div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span> <span class="comment"> * Constructor takes one argument,</span></div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span> <span class="comment"> * @param arc_ptr Pointer to arc-length CTX.</span></div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00334"></a><span class="lineno"><a class="line" href="structSimpleArcLengthControl.html"> 334</a></span> <span class="keyword">struct </span><a class="code" href="structSimpleArcLengthControl.html">SimpleArcLengthControl</a> : <span class="keyword">public</span> <a class="code" href="classFEMethod.html">FEMethod</a> {</div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  </div>
<div class="line"><a name="l00336"></a><span class="lineno"><a class="line" href="structSimpleArcLengthControl.html#abf02267946275973463efa59263cb497"> 336</a></span>  boost::shared_ptr<ArcLengthCtx> <a class="code" href="structSimpleArcLengthControl.html#abf02267946275973463efa59263cb497">arcPtr</a>;</div>
<div class="line"><a name="l00337"></a><span class="lineno"><a class="line" href="structSimpleArcLengthControl.html#a65d61b4134ca6b34dfd2f2c11472e3f9"> 337</a></span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> <a class="code" href="structSimpleArcLengthControl.html#a65d61b4134ca6b34dfd2f2c11472e3f9">aSsemble</a>;</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  </div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  <a class="code" href="structSimpleArcLengthControl.html#a7166cce529c6e534fdf0a1c12fe65542">SimpleArcLengthControl</a>(boost::shared_ptr<ArcLengthCtx> &arc_ptr,</div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="keyword">const</span> <span class="keywordtype">bool</span> assemble = <span class="keyword">false</span>);</div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <a class="code" href="structSimpleArcLengthControl.html#ae2af9acb4cda24bf19dc064d0b9784aa">~SimpleArcLengthControl</a>();</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  </div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSimpleArcLengthControl.html#a089ca0033926a8d8bb0b4fb7a6ee49af">preProcess</a>();</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSimpleArcLengthControl.html#a495488c0b73b49c0a3ca6d9b45af77a9">operator()</a>();</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSimpleArcLengthControl.html#abff74252abaa8fd68d88bde26f4f88e2">postProcess</a>();</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span> <span class="comment"></span> </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span> <span class="comment"> /** \brief Calculate internal lambda</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <span class="keywordtype">double</span> <a class="code" href="structSimpleArcLengthControl.html#a91beff285bcfe799591e69c1ea615921">calculateLambdaInt</a>();</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span> <span class="comment"></span> </div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span> <span class="comment"> /** \brief Calculate db</span></div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSimpleArcLengthControl.html#a1ff3823cdc411c7835fbffd91f943a26">calculateDb</a>();</div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  </div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSimpleArcLengthControl.html#ab18cbcccde2115b7b44a8f17e506e80d">calculateDxAndDlambda</a>(<a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> x);</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span> };</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span> <span class="comment"></span> </div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span> <span class="comment">/** \brief Implementation of spherical arc-length method</span></div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span> <span class="comment"> * \ingroup arc_length_control</span></div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span> <span class="comment"></span> </div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span> <span class="comment"> \alpha \| \Delta\mathbf{x} \|^2</span></div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span> <span class="comment"> + \Delta\lambda^2 \beta^2 \| \mathbf{F}_\lambda \|^2</span></div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span> <span class="comment"> = s^2</span></div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span> <span class="comment"></span> </div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span> <span class="comment"> This is particular implementation of ArcLength control, i.e. spherical arc</span></div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span> <span class="comment"> length control. If beta is set to 0 and alpha is non-zero it is cylindrical</span></div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span> <span class="comment"> arc-length control. Works well with general problem with non-linear</span></div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span> <span class="comment"> geometry. It not guarantee dissipative loading path in case of physical</span></div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span> <span class="comment"> nonlinearities.</span></div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span> <span class="comment"></span> </div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00374"></a><span class="lineno"><a class="line" href="structSphericalArcLengthControl.html"> 374</a></span> <span class="keyword">struct </span><a class="code" href="structSphericalArcLengthControl.html">SphericalArcLengthControl</a> : <span class="keyword">public</span> <a class="code" href="classFEMethod.html">FEMethod</a> {</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  </div>
<div class="line"><a name="l00376"></a><span class="lineno"><a class="line" href="structSphericalArcLengthControl.html#a51d83cb46de2c74f06a4afa14f4b38a6"> 376</a></span>  <a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *<a class="code" href="structSphericalArcLengthControl.html#a51d83cb46de2c74f06a4afa14f4b38a6">arcPtrRaw</a>; <span class="comment">// this is for back compatibility</span></div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span> <span class="comment"></span> </div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span> <span class="comment"> /// \deprecated use constructor with shared_ptr</span></div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span> <span class="comment"></span> <a class="code" href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a> <a class="code" href="structSphericalArcLengthControl.html#ab57cd73805c75a7bcf94b1b04a041f4c">SphericalArcLengthControl</a>(<a class="code" href="structArcLengthCtx.html">ArcLengthCtx</a> *arc_ptr_raw);</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  </div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="structSphericalArcLengthControl.html#ab57cd73805c75a7bcf94b1b04a041f4c">SphericalArcLengthControl</a>(boost::shared_ptr<ArcLengthCtx> &arc_ptr);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <span class="keyword">virtual</span> <a class="code" href="structSphericalArcLengthControl.html#a613b1700c7367a7b4e33489d1452fd27">~SphericalArcLengthControl</a>();</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  </div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#a5c699471e7873d7d1eb47b48d7a1e7c6">preProcess</a>();</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#a61399577ce02a94942b6356ec799edcb">operator()</a>();</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#a1342003d53c034b49eeebe4848ba2acf">postProcess</a>();</div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span> <span class="comment"></span> </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span> <span class="comment"> /** \brief Calculate f_lambda(dx,lambda)</span></div>
<div class="line"><a name="l00389"></a><span class="lineno"> 389</span> <span class="comment"></span> </div>
<div class="line"><a name="l00390"></a><span class="lineno"> 390</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00391"></a><span class="lineno"> 391</span> <span class="comment"> f_\lambda(\Delta\mathbf{x},\lambda) =</span></div>
<div class="line"><a name="l00392"></a><span class="lineno"> 392</span> <span class="comment"> \alpha \| \Delta\mathbf{x} \|^2</span></div>
<div class="line"><a name="l00393"></a><span class="lineno"> 393</span> <span class="comment"> + \Delta\lambda^2 \beta^2 \| \mathbf{F}_\lambda \|^2</span></div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span> <span class="comment"></span> </div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <span class="keyword">virtual</span> <span class="keywordtype">double</span> <a class="code" href="structSphericalArcLengthControl.html#ad5c3b39a149284942096672e7fbe889f">calculateLambdaInt</a>();</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span> <span class="comment"></span> </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span> <span class="comment"> /** \brief Calculate db</span></div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> <span class="comment"></span> </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span> <span class="comment"> \f[</span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span> <span class="comment"> \textrm{d}\mathbf{b} = 2 \alpha \Delta\mathbf{x}</span></div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span> <span class="comment"> \f]</span></div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span> <span class="comment"></span> </div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="keyword">virtual</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#ab0d25eac9c6555f663835ce247af4495">calculateDb</a>();</div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  <span class="keyword">virtual</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#a21095b337c73873b180e3531e818e2bf">calculateDxAndDlambda</a>(<a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> x);</div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  <span class="keyword">virtual</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#afb8c948fe7417f2310bfaad371e80134">calculateInitDlambda</a>(<span class="keywordtype">double</span> *dlambda);</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  <span class="keyword">virtual</span> <a class="code" href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEMErrorCode</a> <a class="code" href="structSphericalArcLengthControl.html#afd4036cc78db8eeee96f6bcd4f19272c">setDlambdaToX</a>(<a class="code" href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">Vec</a> x, <span class="keywordtype">double</span> dlambda);</div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  </div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span> <span class="keyword">private</span>:</div>
<div class="line"><a name="l00412"></a><span class="lineno"><a class="line" href="structSphericalArcLengthControl.html#a10750ce1f55b433c95beb6a06f56c88c"> 412</a></span>  boost::shared_ptr<ArcLengthCtx> <a class="code" href="structSphericalArcLengthControl.html#a10750ce1f55b433c95beb6a06f56c88c">arcPtr</a>;</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span> };</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  </div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span> <span class="preprocessor">#endif // __ARC_LENGTH_TOOLS_HPP__</span></div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span> <span class="comment"></span> </div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span> <span class="comment">/**</span></div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span> <span class="comment"> \defgroup arc_length_control Arc-Length control</span></div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span> <span class="comment"> \ingroup user_modules</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span> <span class="comment">**/</span></div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="astructArcLengthCtx_html_a164a3826c3722ccc5cf0a4aafc752aba"><div class="ttname"><a href="structArcLengthCtx.html#a164a3826c3722ccc5cf0a4aafc752aba">ArcLengthCtx::res_lambda</a></div><div class="ttdeci">double res_lambda</div><div class="ttdoc">f_lambda - s</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00082">ArcLengthTools.hpp:82</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a6ffd2a74538e24995825349557b570a7"><div class="ttname"><a href="structArcLengthCtx.html#a6ffd2a74538e24995825349557b570a7">ArcLengthCtx::getFieldData</a></div><div class="ttdeci">FieldData & getFieldData()</div><div class="ttdoc">Get value of load factor.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00117">ArcLengthTools.hpp:117</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a5c55f7620629e82e33bc99b121c616b4"><div class="ttname"><a href="structArcLengthCtx.html#a5c55f7620629e82e33bc99b121c616b4">ArcLengthCtx::mField</a></div><div class="ttdeci">MoFEM::Interface & mField</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00069">ArcLengthTools.hpp:69</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_abff74252abaa8fd68d88bde26f4f88e2"><div class="ttname"><a href="structSimpleArcLengthControl.html#abff74252abaa8fd68d88bde26f4f88e2">SimpleArcLengthControl::postProcess</a></div><div class="ttdeci">MoFEMErrorCode postProcess()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00569">ArcLengthTools.cpp:569</a></div></div>
<div class="ttc" id="adefinitions_8h_html_ac1e8a42306d8e67cb94ca31c3956ee78"><div class="ttname"><a href="definitions_8h.html#ac1e8a42306d8e67cb94ca31c3956ee78">DEPRECATED</a></div><div class="ttdeci">#define DEPRECATED</div><div class="ttdef"><b>Definition:</b> <a href="definitions_8h_source.html#l00017">definitions.h:17</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html"><div class="ttname"><a href="structArcLengthMatShell.html">ArcLengthMatShell</a></div><div class="ttdoc">shell matrix for arc-length method</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00205">ArcLengthTools.hpp:205</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html"><div class="ttname"><a href="structPCArcLengthCtx.html">PCArcLengthCtx</a></div><div class="ttdoc">structure for Arc Length pre-conditioner</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00235">ArcLengthTools.hpp:235</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_ad5c3b39a149284942096672e7fbe889f"><div class="ttname"><a href="structSphericalArcLengthControl.html#ad5c3b39a149284942096672e7fbe889f">SphericalArcLengthControl::calculateLambdaInt</a></div><div class="ttdeci">virtual double calculateLambdaInt()</div><div class="ttdoc">Calculate f_lambda(dx,lambda)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00685">ArcLengthTools.cpp:685</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a8979d85f473bbbcffd2ab8686308347a"><div class="ttname"><a href="structArcLengthCtx.html#a8979d85f473bbbcffd2ab8686308347a">ArcLengthCtx::~ArcLengthCtx</a></div><div class="ttdeci">virtual ~ArcLengthCtx()=default</div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html"><div class="ttname"><a href="structSimpleArcLengthControl.html">SimpleArcLengthControl</a></div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00334">ArcLengthTools.hpp:334</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_a1b450459735a395f578c839530ea361e"><div class="ttname"><a href="structPCArcLengthCtx.html#a1b450459735a395f578c839530ea361e">PCArcLengthCtx::PCApplyArcLength</a></div><div class="ttdeci">friend MoFEMErrorCode PCApplyArcLength(PC pc, Vec pc_f, Vec pc_x)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00243">ArcLengthTools.cpp:243</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a529ec863a2ac5ce59d042f4b45928a10"><div class="ttname"><a href="structArcLengthCtx.html#a529ec863a2ac5ce59d042f4b45928a10">ArcLengthCtx::setS</a></div><div class="ttdeci">MoFEMErrorCode setS(double s)</div><div class="ttdoc">set arc radius</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00022">ArcLengthTools.cpp:22</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a0079d41867fb8220f34f89026d923255"><div class="ttname"><a href="structArcLengthCtx.html#a0079d41867fb8220f34f89026d923255">ArcLengthCtx::db</a></div><div class="ttdeci">SmartPetscObj< Vec > db</div><div class="ttdoc">db derivative of f(dx*dx), i.e. db = d[ f(dx*dx) ]/dx</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00085">ArcLengthTools.hpp:85</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_afffd918c1454f9afaba2c384c3b39bec"><div class="ttname"><a href="structPCArcLengthCtx.html#afffd918c1454f9afaba2c384c3b39bec">PCArcLengthCtx::pC</a></div><div class="ttdeci">SmartPetscObj< PC > pC</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00238">ArcLengthTools.hpp:238</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a495488c0b73b49c0a3ca6d9b45af77a9"><div class="ttname"><a href="structSimpleArcLengthControl.html#a495488c0b73b49c0a3ca6d9b45af77a9">SimpleArcLengthControl::operator()</a></div><div class="ttdeci">MoFEMErrorCode operator()()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00550">ArcLengthTools.cpp:550</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html"><div class="ttname"><a href="structArcLengthCtx.html">ArcLengthCtx</a></div><div class="ttdoc">Store variables for ArcLength analysis.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00065">ArcLengthTools.hpp:65</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_ad3f3ddf243182b852dcea020b4317b80"><div class="ttname"><a href="structArcLengthCtx.html#ad3f3ddf243182b852dcea020b4317b80">ArcLengthCtx::dLambda</a></div><div class="ttdeci">double dLambda</div><div class="ttdoc">increment of load factor</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00076">ArcLengthTools.hpp:76</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_abf02267946275973463efa59263cb497"><div class="ttname"><a href="structSimpleArcLengthControl.html#abf02267946275973463efa59263cb497">SimpleArcLengthControl::arcPtr</a></div><div class="ttdeci">boost::shared_ptr< ArcLengthCtx > arcPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00336">ArcLengthTools.hpp:336</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a65d61b4134ca6b34dfd2f2c11472e3f9"><div class="ttname"><a href="structSimpleArcLengthControl.html#a65d61b4134ca6b34dfd2f2c11472e3f9">SimpleArcLengthControl::aSsemble</a></div><div class="ttdeci">const bool aSsemble</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00337">ArcLengthTools.hpp:337</a></div></div>
<div class="ttc" id="anamespaceMoFEM_1_1Exceptions_html_a8fb6351034eac301fc47fdf2748c1b45"><div class="ttname"><a href="namespaceMoFEM_1_1Exceptions.html#a8fb6351034eac301fc47fdf2748c1b45">MoFEM::Exceptions::MoFEMErrorCode</a></div><div class="ttdeci">PetscErrorCode MoFEMErrorCode</div><div class="ttdoc">MoFEM/PETSc error code.</div><div class="ttdef"><b>Definition:</b> <a href="Exceptions_8hpp_source.html#l00056">Exceptions.hpp:56</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_a8dd981842c22699ef45b7b35f7c86f96"><div class="ttname"><a href="structPCArcLengthCtx.html#a8dd981842c22699ef45b7b35f7c86f96">PCArcLengthCtx::Aij</a></div><div class="ttdeci">SmartPetscObj< Mat > Aij</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00240">ArcLengthTools.hpp:240</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_adef928e5c28ea716a4567ab6cccc2b7f"><div class="ttname"><a href="structPCArcLengthCtx.html#adef928e5c28ea716a4567ab6cccc2b7f">PCArcLengthCtx::kSP</a></div><div class="ttdeci">SmartPetscObj< KSP > kSP</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00237">ArcLengthTools.hpp:237</a></div></div>
<div class="ttc" id="aoperators__tests_8cpp_html_aaea25cacd18f8fc7fbbaa4311fe33b72"><div class="ttname"><a href="operators__tests_8cpp.html#aaea25cacd18f8fc7fbbaa4311fe33b72">A</a></div><div class="ttdeci">constexpr AssemblyType A</div><div class="ttdef"><b>Definition:</b> <a href="operators__tests_8cpp_source.html#l00030">operators_tests.cpp:30</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a812a34e0b80e40f4aa5509afe798fb00"><div class="ttname"><a href="structArcLengthMatShell.html#a812a34e0b80e40f4aa5509afe798fb00">ArcLengthMatShell::ArcLengthMatShell</a></div><div class="ttdeci">ArcLengthMatShell(Mat aij, boost::shared_ptr< ArcLengthCtx > arc_ptr, string problem_name)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00137">ArcLengthTools.cpp:137</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a613b1700c7367a7b4e33489d1452fd27"><div class="ttname"><a href="structSphericalArcLengthControl.html#a613b1700c7367a7b4e33489d1452fd27">SphericalArcLengthControl::~SphericalArcLengthControl</a></div><div class="ttdeci">virtual ~SphericalArcLengthControl()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00668">ArcLengthTools.cpp:668</a></div></div>
<div class="ttc" id="astructZeroFLmabda_html_a0703e72d156be1f4628b9e1488119c4d"><div class="ttname"><a href="structZeroFLmabda.html#a0703e72d156be1f4628b9e1488119c4d">ZeroFLmabda::ZeroFLmabda</a></div><div class="ttdeci">ZeroFLmabda(boost::shared_ptr< ArcLengthCtx > arc_ptr)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00359">ArcLengthTools.cpp:359</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html"><div class="ttname"><a href="structSphericalArcLengthControl.html">SphericalArcLengthControl</a></div><div class="ttdoc">Implementation of spherical arc-length method.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00374">ArcLengthTools.hpp:374</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_ae8ffe9ffcddbe353a93e4d74e9730d80"><div class="ttname"><a href="structArcLengthCtx.html#ae8ffe9ffcddbe353a93e4d74e9730d80">ArcLengthCtx::getPetscGlobalDofIdx</a></div><div class="ttdeci">DofIdx getPetscGlobalDofIdx()</div><div class="ttdoc">Get global index of load factor.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00107">ArcLengthTools.hpp:107</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_ab57cd73805c75a7bcf94b1b04a041f4c"><div class="ttname"><a href="structSphericalArcLengthControl.html#ab57cd73805c75a7bcf94b1b04a041f4c">SphericalArcLengthControl::SphericalArcLengthControl</a></div><div class="ttdeci">DEPRECATED SphericalArcLengthControl(ArcLengthCtx *arc_ptr_raw)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00661">ArcLengthTools.cpp:661</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_adc2b274415e11221cf017bbdbf161a23"><div class="ttname"><a href="structArcLengthCtx.html#adc2b274415e11221cf017bbdbf161a23">ArcLengthCtx::beta</a></div><div class="ttdeci">double beta</div><div class="ttdoc">force scaling factor</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00072">ArcLengthTools.hpp:72</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a4e1d2f38031b8b68d5da655ed352e330"><div class="ttname"><a href="structArcLengthCtx.html#a4e1d2f38031b8b68d5da655ed352e330">ArcLengthCtx::alpha</a></div><div class="ttdeci">double alpha</div><div class="ttdoc">displacement scaling factor</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00073">ArcLengthTools.hpp:73</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_ab18cbcccde2115b7b44a8f17e506e80d"><div class="ttname"><a href="structSimpleArcLengthControl.html#ab18cbcccde2115b7b44a8f17e506e80d">SimpleArcLengthControl::calculateDxAndDlambda</a></div><div class="ttdeci">MoFEMErrorCode calculateDxAndDlambda(Vec x)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00605">ArcLengthTools.cpp:605</a></div></div>
<div class="ttc" id="aArcLengthTools_8hpp_html_a73e4d10b864c8cfda369c462f3ce5665"><div class="ttname"><a href="ArcLengthTools_8hpp.html#a73e4d10b864c8cfda369c462f3ce5665">PCSetupArcLength</a></div><div class="ttdeci">MoFEMErrorCode PCSetupArcLength(PC pc)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00326">ArcLengthTools.cpp:326</a></div></div>
<div class="ttc" id="astructMoFEM_1_1DeprecatedCoreInterface_html"><div class="ttname"><a href="structMoFEM_1_1DeprecatedCoreInterface.html">MoFEM::DeprecatedCoreInterface</a></div><div class="ttdoc">Deprecated interface functions.</div><div class="ttdef"><b>Definition:</b> <a href="DeprecatedCoreInterface_8hpp_source.html#l00016">DeprecatedCoreInterface.hpp:16</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a7820cfec64792edfe574ac8b5c50b534"><div class="ttname"><a href="structArcLengthCtx.html#a7820cfec64792edfe574ac8b5c50b534">ArcLengthCtx::dx2</a></div><div class="ttdeci">double dx2</div><div class="ttdoc">inner_prod(dX,dX)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00080">ArcLengthTools.hpp:80</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a7166cce529c6e534fdf0a1c12fe65542"><div class="ttname"><a href="structSimpleArcLengthControl.html#a7166cce529c6e534fdf0a1c12fe65542">SimpleArcLengthControl::SimpleArcLengthControl</a></div><div class="ttdeci">SimpleArcLengthControl(boost::shared_ptr< ArcLengthCtx > &arc_ptr, const bool assemble=false)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00521">ArcLengthTools.cpp:521</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_a5aff61b74db5a829508a1ade76a1de85"><div class="ttname"><a href="structPCArcLengthCtx.html#a5aff61b74db5a829508a1ade76a1de85">PCArcLengthCtx::arcPtr</a></div><div class="ttdeci">boost::shared_ptr< ArcLengthCtx > arcPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00260">ArcLengthTools.hpp:260</a></div></div>
<div class="ttc" id="aclassFEMethod_html"><div class="ttname"><a href="classFEMethod.html">FEMethod</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a2fd16eae556635bb64c1ca15a126bdcc"><div class="ttname"><a href="structArcLengthMatShell.html#a2fd16eae556635bb64c1ca15a126bdcc">ArcLengthMatShell::ArcLengthMatMultShellOp</a></div><div class="ttdeci">friend MoFEMErrorCode ArcLengthMatMultShellOp(Mat A, Vec x, Vec f)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00184">ArcLengthTools.cpp:184</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a8579333e5cf05396925a5d2ca8cc6bb1"><div class="ttname"><a href="structArcLengthMatShell.html#a8579333e5cf05396925a5d2ca8cc6bb1">ArcLengthMatShell::setLambda</a></div><div class="ttdeci">MoFEMErrorCode setLambda(Vec ksp_x, double *lambda, ScatterMode scattermode)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00143">ArcLengthTools.cpp:143</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a21095b337c73873b180e3531e818e2bf"><div class="ttname"><a href="structSphericalArcLengthControl.html#a21095b337c73873b180e3531e818e2bf">SphericalArcLengthControl::calculateDxAndDlambda</a></div><div class="ttdeci">virtual MoFEMErrorCode calculateDxAndDlambda(Vec x)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00742">ArcLengthTools.cpp:742</a></div></div>
<div class="ttc" id="astructZeroFLmabda_html_a24b6cad593e8b77ca7f8914bd3f8422f"><div class="ttname"><a href="structZeroFLmabda.html#a24b6cad593e8b77ca7f8914bd3f8422f">ZeroFLmabda::arcPtr</a></div><div class="ttdeci">boost::shared_ptr< ArcLengthCtx > arcPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00285">ArcLengthTools.hpp:285</a></div></div>
<div class="ttc" id="aArcLengthTools_8hpp_html_a2fd16eae556635bb64c1ca15a126bdcc"><div class="ttname"><a href="ArcLengthTools_8hpp.html#a2fd16eae556635bb64c1ca15a126bdcc">ArcLengthMatMultShellOp</a></div><div class="ttdeci">MoFEMErrorCode ArcLengthMatMultShellOp(Mat A, Vec x, Vec f)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00184">ArcLengthTools.cpp:184</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a1d0a5f00bf5d05694f095bdb48b5fb1f"><div class="ttname"><a href="structArcLengthMatShell.html#a1d0a5f00bf5d05694f095bdb48b5fb1f">ArcLengthMatShell::arcPtrRaw</a></div><div class="ttdeci">ArcLengthCtx * arcPtrRaw</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00209">ArcLengthTools.hpp:209</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_aec9a2f23580294ea2ddd716ffb0d09b3"><div class="ttname"><a href="structArcLengthCtx.html#aec9a2f23580294ea2ddd716ffb0d09b3">ArcLengthCtx::xLambda</a></div><div class="ttdeci">SmartPetscObj< Vec > xLambda</div><div class="ttdoc">solution of eq. K*xLambda = F_lambda</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00086">ArcLengthTools.hpp:86</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a7bc4709b17f7d0fe47696124105ce02b"><div class="ttname"><a href="structArcLengthMatShell.html#a7bc4709b17f7d0fe47696124105ce02b">ArcLengthMatShell::Aij</a></div><div class="ttdeci">SmartPetscObj< Mat > Aij</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00207">ArcLengthTools.hpp:207</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_ae2af9acb4cda24bf19dc064d0b9784aa"><div class="ttname"><a href="structSimpleArcLengthControl.html#ae2af9acb4cda24bf19dc064d0b9784aa">SimpleArcLengthControl::~SimpleArcLengthControl</a></div><div class="ttdeci">~SimpleArcLengthControl()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00525">ArcLengthTools.cpp:525</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_ac9bc71e4291fdf240d1f32e8e6991649"><div class="ttname"><a href="structPCArcLengthCtx.html#ac9bc71e4291fdf240d1f32e8e6991649">PCArcLengthCtx::PCArcLengthCtx</a></div><div class="ttdeci">PCArcLengthCtx(Mat shell_Aij, Mat aij, boost::shared_ptr< ArcLengthCtx > arc_ptr)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00222">ArcLengthTools.cpp:222</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a51d83cb46de2c74f06a4afa14f4b38a6"><div class="ttname"><a href="structSphericalArcLengthControl.html#a51d83cb46de2c74f06a4afa14f4b38a6">SphericalArcLengthControl::arcPtrRaw</a></div><div class="ttdeci">ArcLengthCtx * arcPtrRaw</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00376">ArcLengthTools.hpp:376</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_ae08b9a5e7491034cd73f3fbc0a6c12b1"><div class="ttname"><a href="structArcLengthCtx.html#ae08b9a5e7491034cd73f3fbc0a6c12b1">ArcLengthCtx::arcDofRawPtr</a></div><div class="ttdeci">NumeredDofEntity * arcDofRawPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00121">ArcLengthTools.hpp:121</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a61399577ce02a94942b6356ec799edcb"><div class="ttname"><a href="structSphericalArcLengthControl.html#a61399577ce02a94942b6356ec799edcb">SphericalArcLengthControl::operator()</a></div><div class="ttdeci">MoFEMErrorCode operator()()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00698">ArcLengthTools.cpp:698</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a1342003d53c034b49eeebe4848ba2acf"><div class="ttname"><a href="structSphericalArcLengthControl.html#a1342003d53c034b49eeebe4848ba2acf">SphericalArcLengthControl::postProcess</a></div><div class="ttdeci">MoFEMErrorCode postProcess()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00720">ArcLengthTools.cpp:720</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_afb8c948fe7417f2310bfaad371e80134"><div class="ttname"><a href="structSphericalArcLengthControl.html#afb8c948fe7417f2310bfaad371e80134">SphericalArcLengthControl::calculateInitDlambda</a></div><div class="ttdeci">virtual MoFEMErrorCode calculateInitDlambda(double *dlambda)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00769">ArcLengthTools.cpp:769</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a089ca0033926a8d8bb0b4fb7a6ee49af"><div class="ttname"><a href="structSimpleArcLengthControl.html#a089ca0033926a8d8bb0b4fb7a6ee49af">SimpleArcLengthControl::preProcess</a></div><div class="ttdeci">MoFEMErrorCode preProcess()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00527">ArcLengthTools.cpp:527</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_aa47c4ba25887157b3d100b379b0047bb"><div class="ttname"><a href="structArcLengthCtx.html#aa47c4ba25887157b3d100b379b0047bb">ArcLengthCtx::x0</a></div><div class="ttdeci">SmartPetscObj< Vec > x0</div><div class="ttdoc">displacement vector at beginning of step</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00087">ArcLengthTools.hpp:87</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a5ce3d7f42ade279eedcb9a5caabba78e"><div class="ttname"><a href="structArcLengthCtx.html#a5ce3d7f42ade279eedcb9a5caabba78e">ArcLengthCtx::F_lambda2</a></div><div class="ttdeci">double F_lambda2</div><div class="ttdoc">inner_prod(F_lambda,F_lambda);</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00081">ArcLengthTools.hpp:81</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a9d3a824bdb209070536bd364c14ad5e7"><div class="ttname"><a href="structArcLengthMatShell.html#a9d3a824bdb209070536bd364c14ad5e7">ArcLengthMatShell::~ArcLengthMatShell</a></div><div class="ttdeci">virtual ~ArcLengthMatShell()=default</div></div>
<div class="ttc" id="astructZeroFLmabda_html"><div class="ttname"><a href="structZeroFLmabda.html">ZeroFLmabda</a></div><div class="ttdoc">Zero F_lambda.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00283">ArcLengthTools.hpp:283</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a4a07467b6f87e9d9e7e4adcf24f5851a"><div class="ttname"><a href="structArcLengthCtx.html#a4a07467b6f87e9d9e7e4adcf24f5851a">ArcLengthCtx::ArcLengthCtx</a></div><div class="ttdeci">ArcLengthCtx(MoFEM::Interface &m_field, const std::string &problem_name, const std::string &field_name="LAMBDA")</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00038">ArcLengthTools.cpp:38</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a2c30a1b434047e3248da11577b88945c"><div class="ttname"><a href="structArcLengthCtx.html#a2c30a1b434047e3248da11577b88945c">ArcLengthCtx::dx</a></div><div class="ttdeci">SmartPetscObj< Vec > dx</div><div class="ttdoc">dx = x-x0</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00088">ArcLengthTools.hpp:88</a></div></div>
<div class="ttc" id="apoisson__2d__homogeneous_8cpp_html_a3917f3987bad1f4e24b85c9d0ab84a5e"><div class="ttname"><a href="poisson__2d__homogeneous_8cpp.html#a3917f3987bad1f4e24b85c9d0ab84a5e">field_name</a></div><div class="ttdeci">constexpr auto field_name</div><div class="ttdef"><b>Definition:</b> <a href="poisson__2d__homogeneous_8cpp_source.html#l00013">poisson_2d_homogeneous.cpp:13</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a234e101e109b8f8d64cb395cc15b5dd2"><div class="ttname"><a href="structArcLengthCtx.html#a234e101e109b8f8d64cb395cc15b5dd2">ArcLengthCtx::getPetscLocalDofIdx</a></div><div class="ttdeci">DofIdx getPetscLocalDofIdx()</div><div class="ttdoc">Get local index of load factor.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00113">ArcLengthTools.hpp:113</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a709864957de44d196a3d38497f16c719"><div class="ttname"><a href="structArcLengthCtx.html#a709864957de44d196a3d38497f16c719">ArcLengthCtx::dIag</a></div><div class="ttdeci">double dIag</div><div class="ttdoc">diagonal value</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00078">ArcLengthTools.hpp:78</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_aa3f9a5db9319800abc7333cb8a222e36"><div class="ttname"><a href="structArcLengthCtx.html#aa3f9a5db9319800abc7333cb8a222e36">ArcLengthCtx::ghostDiag</a></div><div class="ttdeci">SmartPetscObj< Vec > ghostDiag</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00077">ArcLengthTools.hpp:77</a></div></div>
<div class="ttc" id="aclassSnesCtx_html"><div class="ttname"><a href="classSnesCtx.html">SnesCtx</a></div></div>
<div class="ttc" id="astructZeroFLmabda_html_a535d41e9baae795603455cba3b5074f8"><div class="ttname"><a href="structZeroFLmabda.html#a535d41e9baae795603455cba3b5074f8">ZeroFLmabda::preProcess</a></div><div class="ttdeci">MoFEMErrorCode preProcess()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00362">ArcLengthTools.cpp:362</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_afd4036cc78db8eeee96f6bcd4f19272c"><div class="ttname"><a href="structSphericalArcLengthControl.html#afd4036cc78db8eeee96f6bcd4f19272c">SphericalArcLengthControl::setDlambdaToX</a></div><div class="ttdeci">virtual MoFEMErrorCode setDlambdaToX(Vec x, double dlambda)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00783">ArcLengthTools.cpp:783</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_adf05f7720b7d2ad4dc4ab16c1db105b9"><div class="ttname"><a href="structArcLengthCtx.html#adf05f7720b7d2ad4dc4ab16c1db105b9">ArcLengthCtx::getPart</a></div><div class="ttdeci">int getPart()</div><div class="ttdoc">Get proc owning lambda dof.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00121">ArcLengthTools.hpp:121</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_a0a41ff922f5a09dd73fd699b244bb73e"><div class="ttname"><a href="structPCArcLengthCtx.html#a0a41ff922f5a09dd73fd699b244bb73e">PCArcLengthCtx::arcPtrRaw</a></div><div class="ttdeci">ArcLengthCtx * arcPtrRaw</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00248">ArcLengthTools.hpp:248</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a10750ce1f55b433c95beb6a06f56c88c"><div class="ttname"><a href="structSphericalArcLengthControl.html#a10750ce1f55b433c95beb6a06f56c88c">SphericalArcLengthControl::arcPtr</a></div><div class="ttdeci">boost::shared_ptr< ArcLengthCtx > arcPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00412">ArcLengthTools.hpp:412</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_ab5e1837c53f279f441c5dc0d339fa165"><div class="ttname"><a href="structPCArcLengthCtx.html#ab5e1837c53f279f441c5dc0d339fa165">PCArcLengthCtx::shellAij</a></div><div class="ttdeci">SmartPetscObj< Mat > shellAij</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00239">ArcLengthTools.hpp:239</a></div></div>
<div class="ttc" id="anamespaceHenckyOps_html_a990086ab6bdc667b830a40f0ffb74aa3"><div class="ttname"><a href="namespaceHenckyOps.html#a990086ab6bdc667b830a40f0ffb74aa3">HenckyOps::f</a></div><div class="ttdeci">auto f</div><div class="ttdef"><b>Definition:</b> <a href="HenckyOps_8hpp_source.html#l00015">HenckyOps.hpp:15</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a43651839c551b1837364b0027f6afb39"><div class="ttname"><a href="structArcLengthCtx.html#a43651839c551b1837364b0027f6afb39">ArcLengthCtx::setAlphaBeta</a></div><div class="ttdeci">MoFEMErrorCode setAlphaBeta(double alpha, double beta)</div><div class="ttdoc">set parameters controlling arc-length equations alpha controls off diagonal therms beta controls diag...</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00029">ArcLengthTools.cpp:29</a></div></div>
<div class="ttc" id="aincompressible__elasticity_8cpp_html_a3db359547eed8cfd48ca821d95f577af"><div class="ttname"><a href="incompressible__elasticity_8cpp.html#a3db359547eed8cfd48ca821d95f577af">lambda</a></div><div class="ttdeci">static double lambda</div><div class="ttdef"><b>Definition:</b> <a href="incompressible__elasticity_8cpp_source.html#l00199">incompressible_elasticity.cpp:199</a></div></div>
<div class="ttc" id="anamespaceMoFEM_1_1Types_html_a3a53e1565cccd97a3133cac7b3a427f4"><div class="ttname"><a href="namespaceMoFEM_1_1Types.html#a3a53e1565cccd97a3133cac7b3a427f4">MoFEM::Types::FieldData</a></div><div class="ttdeci">double FieldData</div><div class="ttdoc">Field data type.</div><div class="ttdef"><b>Definition:</b> <a href="Types_8hpp_source.html#l00025">Types.hpp:25</a></div></div>
<div class="ttc" id="anamespaceEigenMatrix_html_a34cd82caee17a35f38d6df0cf87ee75b"><div class="ttname"><a href="namespaceEigenMatrix.html#a34cd82caee17a35f38d6df0cf87ee75b">EigenMatrix::Vec</a></div><div class="ttdeci">const FTensor::Tensor2< T, Dim, Dim > Vec</div><div class="ttdef"><b>Definition:</b> <a href="MatrixFunction_8hpp_source.html#l00066">MatrixFunction.hpp:66</a></div></div>
<div class="ttc" id="astructPCArcLengthCtx_html_a73e4d10b864c8cfda369c462f3ce5665"><div class="ttname"><a href="structPCArcLengthCtx.html#a73e4d10b864c8cfda369c462f3ce5665">PCArcLengthCtx::PCSetupArcLength</a></div><div class="ttdeci">friend MoFEMErrorCode PCSetupArcLength(PC pc)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00326">ArcLengthTools.cpp:326</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_a5c699471e7873d7d1eb47b48d7a1e7c6"><div class="ttname"><a href="structSphericalArcLengthControl.html#a5c699471e7873d7d1eb47b48d7a1e7c6">SphericalArcLengthControl::preProcess</a></div><div class="ttdeci">MoFEMErrorCode preProcess()</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00670">ArcLengthTools.cpp:670</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_adc9c618224af831a074ec5713863fecb"><div class="ttname"><a href="structArcLengthCtx.html#adc9c618224af831a074ec5713863fecb">ArcLengthCtx::ghosTdLambda</a></div><div class="ttdeci">SmartPetscObj< Vec > ghosTdLambda</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00075">ArcLengthTools.hpp:75</a></div></div>
<div class="ttc" id="aArcLengthTools_8hpp_html_a1b450459735a395f578c839530ea361e"><div class="ttname"><a href="ArcLengthTools_8hpp.html#a1b450459735a395f578c839530ea361e">PCApplyArcLength</a></div><div class="ttdeci">MoFEMErrorCode PCApplyArcLength(PC pc, Vec pc_f, Vec pc_x)</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00243">ArcLengthTools.cpp:243</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a66ef60492ab256bc22a9acc956a035ad"><div class="ttname"><a href="structArcLengthMatShell.html#a66ef60492ab256bc22a9acc956a035ad">ArcLengthMatShell::arcPtr</a></div><div class="ttdeci">boost::shared_ptr< ArcLengthCtx > arcPtr</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00223">ArcLengthTools.hpp:223</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a1ff3823cdc411c7835fbffd91f943a26"><div class="ttname"><a href="structSimpleArcLengthControl.html#a1ff3823cdc411c7835fbffd91f943a26">SimpleArcLengthControl::calculateDb</a></div><div class="ttdeci">MoFEMErrorCode calculateDb()</div><div class="ttdoc">Calculate db.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00597">ArcLengthTools.cpp:597</a></div></div>
<div class="ttc" id="astructArcLengthMatShell_html_a09bc480be301540fbdbdf7d43f606b79"><div class="ttname"><a href="structArcLengthMatShell.html#a09bc480be301540fbdbdf7d43f606b79">ArcLengthMatShell::problemName</a></div><div class="ttdeci">string problemName</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00208">ArcLengthTools.hpp:208</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a138fd84af739b613cb2836ec05dd5190"><div class="ttname"><a href="structArcLengthCtx.html#a138fd84af739b613cb2836ec05dd5190">ArcLengthCtx::s</a></div><div class="ttdeci">double s</div><div class="ttdoc">arc length radius</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00071">ArcLengthTools.hpp:71</a></div></div>
<div class="ttc" id="astructArcLengthCtx_html_a4e5203546585c984ac62431c95844e1b"><div class="ttname"><a href="structArcLengthCtx.html#a4e5203546585c984ac62431c95844e1b">ArcLengthCtx::F_lambda</a></div><div class="ttdeci">SmartPetscObj< Vec > F_lambda</div><div class="ttdoc">F_lambda reference load vector.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8hpp_source.html#l00083">ArcLengthTools.hpp:83</a></div></div>
<div class="ttc" id="astructSphericalArcLengthControl_html_ab0d25eac9c6555f663835ce247af4495"><div class="ttname"><a href="structSphericalArcLengthControl.html#ab0d25eac9c6555f663835ce247af4495">SphericalArcLengthControl::calculateDb</a></div><div class="ttdeci">virtual MoFEMErrorCode calculateDb()</div><div class="ttdoc">Calculate db.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00691">ArcLengthTools.cpp:691</a></div></div>
<div class="ttc" id="astructSimpleArcLengthControl_html_a91beff285bcfe799591e69c1ea615921"><div class="ttname"><a href="structSimpleArcLengthControl.html#a91beff285bcfe799591e69c1ea615921">SimpleArcLengthControl::calculateLambdaInt</a></div><div class="ttdeci">double calculateLambdaInt()</div><div class="ttdoc">Calculate internal lambda.</div><div class="ttdef"><b>Definition:</b> <a href="ArcLengthTools_8cpp_source.html#l00593">ArcLengthTools.cpp:593</a></div></div>
<div class="ttc" id="anamespaceMoFEM_1_1Types_html_a2cb126d359d48ddf277e1985549b94a9"><div class="ttname"><a href="namespaceMoFEM_1_1Types.html#a2cb126d359d48ddf277e1985549b94a9">MoFEM::Types::DofIdx</a></div><div class="ttdeci">int DofIdx</div><div class="ttdoc">Index of DOF.</div><div class="ttdef"><b>Definition:</b> <a href="Types_8hpp_source.html#l00018">Types.hpp:18</a></div></div>
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