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Improved interpolation nodes for RT and N1curl elements. #52

Merged
merged 3 commits into from
Jul 21, 2020
Merged

Improved interpolation nodes for RT and N1curl elements. #52

merged 3 commits into from
Jul 21, 2020

Commits on Jul 14, 2020

  1. Textbook functionals for H(div/curl) elements 

    Although the existing FIAT functionals are fine for tabulation and
hence normal finite element assembly, they under-integrate for the
purposes of interpolation. This results in sub-optimal convergence in
the H(div/curl) norm of the interpolation error, which should be (for
example)

   ||u - I_q u||_H(div, T) \le C h^q |u|_H^{q+1}(T)

for RTq elements.

To fix this, implement the dual basis using "textbook" integral moment
functionals (even on edges).

These functionals are selected by creating the element with an
appropriate variant string on construction.
    @FabianL1908 @wence-
    FabianL1908 authored and wence- committed Jul 14, 2020
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  2. Add tests for new variants of RT and Nedelec spaces

    @FabianL1908 @wence-
    FabianL1908 authored and wence- committed Jul 14, 2020
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  3. Test if user-specified integration degree is too low

    @FabianL1908 @wence-
    FabianL1908 authored and wence- committed Jul 14, 2020
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