Abstract

Mortar boundary elements

Martin Healey and Norbert Heuer
SIAM J. Numer. Anal. 48 (4), 1395-1418, 2010.

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 ½. Sub-domain decompositions can be geometrically non-conforming and meshes must be quasi-uniform only on sub-domains. Numerical results confirm the theory.