newcommands_keep.p.tex

\newcommand{\half}{\frac{1}{2}}
\newcommand{\halfi}{{1/2}}
\newcommand{\tp}{\thinspace .}

% #if FORMAT in ("latex", "pdflatex")
\newcommand{\uex}{u_{\mbox{\footnotesize e}}}
\newcommand{\uexd}[1]{u_{\mbox{\footnotesize e}, #1}}
\newcommand{\vex}{v_{\mbox{\footnotesize e}}}
\newcommand{\Vex}{V_{\mbox{\footnotesize e}}}
\newcommand{\vexd}[1]{v_{\mbox{\footnotesize e}, #1}}
\newcommand{\Aex}{A_{\mbox{\footnotesize e}}}
\newcommand{\wex}{w_{\mbox{\footnotesize e}}}
% #else
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\uexd}[1]{{u_{\small\mbox{e}, #1}}}
\newcommand{\vex}{{v_{\small\mbox{e}}}}
\newcommand{\vexd}[1]{{v_{\small\mbox{e}, #1}}}
\newcommand{\Vexd}[1]{{V_{\small\mbox{e}, #1}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\wex}{{w_{\small\mbox{e}}}}
% #endif

% Operators
\newcommand{\Ddt}[1]{\frac{D #1}{dt}}
\newcommand{\E}[1]{\hbox{E}\lbrack #1 \rbrack}
\newcommand{\Var}[1]{\hbox{Var}\lbrack #1 \rbrack}
\newcommand{\Std}[1]{\hbox{Std}\lbrack #1 \rbrack}

\newcommand{\xpoint}{\bm{x}}
\newcommand{\normalvec}{\bm{n}}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}

% Boldface vectors/tensors
\newcommand{\x}{\bm{x}}
\newcommand{\X}{\bm{X}}
\renewcommand{\u}{\bm{u}}
\renewcommand{\v}{\bm{v}}
\newcommand{\w}{\bm{w}}
\newcommand{\acc}{\bm{a}}
\newcommand{\rpos}{\bm{r}}
\newcommand{\V}{\bm{V}}
\newcommand{\e}{\bm{e}}
\newcommand{\f}{\bm{f}}
\newcommand{\F}{\bm{F}}
\newcommand{\stress}{\bm{\sigma}}
\newcommand{\strain}{\bm{\varepsilon}}
\newcommand{\stressc}{{\sigma}}
\newcommand{\strainc}{{\varepsilon}}
\newcommand{\I}{\bm{I}}
\newcommand{\T}{\bm{T}}
\newcommand{\U}{\bm{U}}
\newcommand{\q}{\bm{q}}
\newcommand{\g}{\bm{g}}

\newcommand{\dfc}{\alpha}  % diffusion coefficient
% Unit vectors
\newcommand{\ii}{\bm{i}}
\newcommand{\jj}{\bm{j}}
\newcommand{\kk}{\bm{k}}
\newcommand{\ir}{\bm{i}_r}
\newcommand{\ith}{\bm{i}_{\theta}}
\newcommand{\iz}{\bm{i}_z}

% Index sets
\newcommand{\Ix}{\mathcal{I}_x}
\newcommand{\Iy}{\mathcal{I}_y}
\newcommand{\Iz}{\mathcal{I}_z}
\newcommand{\It}{\mathcal{I}_t}
%\newcommand{\Ix}{{I_x}}
%\newcommand{\Iy}{{I_y}}
%\newcommand{\Iz}{{I_z}}
%\newcommand{\It}{{I_t}}
%\newcommand{\If}{\mathcal{I}}     % for FEM
\newcommand{\If}{\mathcal{I}_s}     % for FEM
%\newcommand{\If}{{I}}     % for FEM
%\newcommand{\Ifd}{\mathcal{I}_d}  % for FEM
\newcommand{\Ifd}{{I_d}}  % for FEM
\newcommand{\Ifb}{{I_b}}  % for FEM
\newcommand{\setb}[1]{#1^0}    % set begin
\newcommand{\sete}[1]{#1^{-1}} % set end
%\newcommand{\setl}[1]{#1\setminus\{\set1{#1}\}}
%\newcommand{\setr}[1]{#1\setminus\{\set0{#1}\}}
%\newcommand{\seti}[1]{#1\setminus\{\set0{#1},\set1{#1}\}}
\newcommand{\setl}[1]{#1^-}
\newcommand{\setr}[1]{#1^+}
\newcommand{\seti}[1]{#1^i}
\newcommand{\sequencei}[1]{\left\{ {#1}_i \right\}_{i\in\If}}
\newcommand{\sequencej}[1]{\left\{ {#1}_j \right\}_{j\in\If}}

% Superscripts for intermediate solutions
%\newcommand{\stepzero}{(0)}
%\newcommand{\stepone}{(\half)}
%\newcommand{\stephalf}{(1)}
\newcommand{\stepzero}{*}
\newcommand{\stephalf}{***}
\newcommand{\stepone}{**}

% Finite elements
\newcommand{\basphi}{\varphi}
\newcommand{\baspsi}{\psi}
\newcommand{\refphi}{\tilde\basphi}
\newcommand{\psib}{\bm{\psi}}
\newcommand{\sinL}[1]{\sin\left((#1+1)\pi\frac{x}{L}\right)}
\newcommand{\xno}[1]{x_{#1}}
%\newcommand{\xno}[1]{x^{(#1)}}
\newcommand{\Xno}[1]{X_{(#1)}}
\newcommand{\yno}[1]{y_{#1}}
\newcommand{\Yno}[1]{Y_{(#1)}}
\newcommand{\xdno}[1]{\bm{x}_{#1}}

% FEniCS commands
\newcommand{\dX}{\, \mathrm{d}X}
\newcommand{\dx}{\, \mathrm{d}x}
\newcommand{\ds}{\, \mathrm{d}s}
\newcommand{\Real}{\mathbb{R}}
\newcommand{\Integerp}{\mathbb{N}}
\newcommand{\Integer}{\mathbb{Z}}