Is it possible to do unmapped FE_DGP

[Eman Kabbas]

Hello everyone,

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?

Thank you for your help!

Best,

Eman

[Wolfgang Bangerth]

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.

[Rseelalshehri Alshehri]

Dear Wolfgang,

Would using mapping_none gives unmapped spaces or is it not enough to use it?

Thanks 

Najwa

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