On Wed, 16 Dec 2015, Harshad Sahasrabudhe wrote:

> I was wondering if anyone has worked on finite volume discretization in
> LibMesh. The eigenvalue problem on a FEM mesh requires a right hand side S
> matrix which needs to be inverted, and thus makes the eigenvalue
> calculation scaling bad.
>
> How hard would it be to implement finite volume discretization in LibMesh?

Low order would be easy enough: just use zeroth order monomial bases,
and libMesh will add your neighbors to your sparsity pattern.  You
could think of it as a DG method; see miscellaneous_ex5 with
p_order=0.

For high order, with a stencil extending past a cell's immediate
neighbors, you'd need to manually extend the sparsity pattern, which
would be trickier.
---
Roy

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