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FEniCS / ffcx

Next generation FEniCS Form Compiler for finite element forms
https://fenicsproject.org
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Support for H2 conforming element #245

Open bleyerj opened 4 years ago

bleyerj commented 4 years ago

Many applications would benefit from the support of H2 conforming elements such as Hermite, Morley, Argyris and so on, already available in FIAT.

jhale commented 4 years ago

Classic H^2 conforming elements would be nice, but there are now alternatives already available in FEniCS.

For example, take a look at the thesis of Lizao Li (https://conservancy.umn.edu/handle/11299/199048) particularly Section 4.2.3.

Note that this approach is easily extendible to the biharmonic in three dimensions.

miklos1 commented 4 years ago

The elements exist in FIAT, but the transformation between physical and reference space is far more complicated (different basis functions are transformed differently), which requires special support from the form compiler.