[Dune] Mixed Finite Element Methods

[Tatiana Voitovich]

Hello Arne,

perhaps, you could also have a look on so-called Local Dicontinuous Galerkin
methods (LDG) for elliptic problems, it allows you to use the same
finite element spaces for both the solution p and components of the
flux vector u.

Best regards,
Tatiana Voitovich



> Hello!
>
> I want to create a mixed FEM-solver to the elliptic problem
>    -div( a grad(p) ) = f in Omega
>                    p = 0 on dOmega.
>
> In several articles I have come across, they decompose this problem
> into a system of first order equations. The flux vector u is defined
> as, u= -a grad(p). They choose the Raviart-Thomas space as solution
> space for u. Are there available basis functions for these spaces
> within DUNE, or is it possible to use a different approach to solve
> the problem?
>
> Thanks!
>
>
> Best regards,
> Arne Rekdal
>
>
>
>