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? Thank you very much in advance, Greetings Till
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