Mortar Boundary Elements

DOI10.1137/090748342zbMath1217.65214arXiv0901.4960OpenAlexW1986145653MaRDI QIDQ2999840

Norbert Heuer, Martin Healey

Publication date: 17 May 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4960

zbMATH Keywords

boundary element methoddomain decompositionelliptic boundary value problemshypersingular boundary integral equationsmortar methodnonconforming Galerkin methodalmost quasi-optimal convergence

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator ⋮ A wirebasket preconditioner for the mortar boundary element method ⋮ Discontinuous Galerkin \(hp\)-BEM with quasi-uniform meshes ⋮ A Nitsche-based domain decomposition method for hypersingular integral equations ⋮ Radial basis functions for the solution of hypersingular operators on open surfaces ⋮ A posteriori error analysis for a boundary element method with nonconforming domain decomposition

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