Mortar Boundary Elements

Details Mortar Boundary Elements Mortar Boundary Elements

2009-01-30

arxiv.org/abs/0901.4960v1

Mathematics

Numerical Analysis

Scientific paper

We establish a mortar boundary element scheme for hypersingular boundary integral equations representing elliptic boundary value problems in three dimensions. We prove almost quasi-optimal convergence of the scheme in broken Sobolev norms of order 1/2. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm the theory.

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