SIAM Journal on Numerical Analysis · 2010 · 19 citations · 17 references
ComputingComputational EngineeringFinite Element AnalysisFinite Element MethodsBoundary ConditionsBoundary Element MethodsConvergence AnalysisFinite Element DiscretizationFinite Element FormulationMesh GenerationBoundary Element ModelingBoundary Integral Equation FormulationsBoundary Integral EquationsElliptic Boundary-value ProblemsHypersingular Boundary Integral EquationsMesh Convergence AnalysisOptimal Convergence RatesSobolev Spaces
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 $1/2$. Subdomain decompositions can be geometrically nonconforming, and meshes must be quasi-uniform only on subdomains. Numerical results confirm the theory.
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