On Wed, 2009-09-16 at 15:33 +0200, Till Heinemann wrote:
> Hello!
> 
> I have a specific problem, where I want to combine a boundary element
> integration and a finite element integration on one domain. 
> 
> I was going to use two different triangulations for this (is this at
> all necessary?). 
> 
> The BEM is supposed to share displacement variables at the vertices
> the two domains coincide on (i.e. the boundary nodes). 
> 
> So my idea was to create a dim and a dim-1 triangulation (and
> dofhandlers, fes…) and somehow use the dof_handler to exchange this
> displacement variable information.
> 
> The next difficulty would be assembling and solving a common system of
> equations to be solved for all the dofs appearing in the 2 systems,
> which would resolve in combining a full matrix from BEM and a sparse
> matrix from FEM – given respect to the size of the FEM matrix, I think
> it may still be advantageous to use a sparse matrix representation of
> the combined system matrix?
> 
> So I’m not asking you to solve my problem for me, but maybe someone
> has already attempted sth similar and can tell me if I’m thinking in
> the right direction here or if there’s a simpler / more efficient
> approach to it – or he knows why my ideas won’t work.
> 
> Where can I find more information on this whole problem, which
> examples may treat aspects of this?

You might look at Elmer, which can solve coupled BEM/FEM problems
(though I can't say I have direct experience in using this capability).

-Adam
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