On Sat, 17 Oct 2009, Guido Kanschat wrote:
Jon,
Please handle third and fourth degree PDE's.
You have the integration, you just need the shape functions.
e.g. Biharmonic PDE and beam PDE.
Baerbel has done some research in that direction. Handling elements with higher regularity than H1 requires more knowledge about the mesh transformation than is currently available. Thus, we would have to change the way Triangulation and FEValues/Mapping interact to make it work.

I have not read the technical paper or book on the detailed design
and rationale for Deal.II

I have been using Hermes2D and Hermes3D that are based on
the book "Higher Order Finite Element Methods" by Solin,
Segeth and Dolezel. They are specifically hp FEM and
their refinements have worked great for me.

I still have to do my own code for fourth order 4D problems.

Adding 4D would be nice. x,y,z,t
Without doubt. We would definitely assist, if you'd do it.

I can program in C++ but prefer to use other languages.
Without a guide book providing mathematical methods relation
to file names and templates, very difficult for an outsider.

Best,
Guido

Jon   [email protected]     www.csee.umbc.edu/~squire

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