Mortar Boundary Elements
Numerical Analysis
2009-02-02 v1
Abstract
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.
Cite
@article{arxiv.0901.4960,
title = {Mortar Boundary Elements},
author = {Martin Healey and Norbert Heuer},
journal= {arXiv preprint arXiv:0901.4960},
year = {2009}
}