On 9/20/24 03:15, Eman Kabbas wrote:
I would like to use a discontinuous Pk finite element space, similar to
FE_DGP, but I need the shape functions to be defined *locally on each
physical cell* without any mapping from a reference cell.
Is it possible to implement such an unmapped finite element space in
deal.II? If so, could you provide some guidance or references on how to
achieve this?
You will be interested in the FE_DGPNonparametric class. The
documentation has a prominent warning about it not working, though I'm
unsure about the details. It's probably worth trying out the class, and
if you run into bugs to fix those, rather than trying to write such a
class from scratch -- at least the general outline of what you want to
do is there already.
Of course, should you find that something doesn't work and you want to
fix it, we'd be happy to provide advice (and equally happy to accept
patches).
Best
W.
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