On the convergence of the multigrid method for a hypersingular integral equation of the first kind

DOI10.1007/BF01386417zbMath0702.65102OpenAlexW2019068487MaRDI QIDQ915417

Ernst Peter Stephan, Tobias von Petersdorff

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133455

zbMATH Keywords

algorithmconvergencemultigrid methodLaplace equationGauss-Seidel iterationsuccessive overrelaxationNumerical experimentshypersingular boundary integral equationdamped Jacobi iterationthree-dimensional Neumann problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

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• An improved boundary element Galerkin method for three-dimensional crack problems
• Algebraic study of multigrid methods for symmetric, definite problems
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• An Algebraic Theory for Multigrid Methods for Variational Problems

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