Analysis of Iterative Sub-structuring Techniques for Boundary Element Approximation of the Hypersingular Operator in Three Dimensions

DOI10.1080/0003681021000021952zbMath1022.65131OpenAlexW2069385753MaRDI QIDQ4782596

Ben Qi Guo, Mark Ainsworth

Publication date: 2 December 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681021000021952

zbMATH Keywords

Sobolev spaceshypersingular integral equationcoarse spacepiecewise polynomialsadditive Schwarz methodscoarse grid correctionsbounds on condition number\(h\)-version boundary element methodcoercivity of approximate bilinear formsdomain decomposition preconditioningfine grid interpolantsGalerkin subspaceinterior correctionstability of decompositionwirebasket correction

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (7)

A FE-BE coupling for a fluid-structure interaction problem: Hierarchical a posteriori error estimates ⋮ Boundary element tearing and interconnecting methods in unbounded domains ⋮ A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines ⋮ Remarks on Sobolev norms of fractional orders ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ Hybrid preconditioned algorithms for boundary hypersingular integral equations ⋮ Additive Schwarz preconditioners for theh-pversion boundary-element approximation to the hypersingular operator in three dimensions

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