Schwarz iterations for the efficient solution of screen problems with boundary elements

DOI10.1007/BF02238292zbMath0854.65110OpenAlexW1557281095MaRDI QIDQ1906684

M. Hahne, Ernst Peter Stephan

Publication date: 22 January 1997

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238292

zbMATH Keywords

performanceconvergenceGalerkin methodFredholm integral equationsnumerical experimentsSchwarz methodsfinite elementcondition numberboundary element methodsadditive Schwarz operatordomain decomposition algorithmsscreen problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical methods for integral equations (65R20) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (11)

Efficient algorithms for the \(p\)-version of the boundary element method ⋮ Domain decomposition methods for boundary integral equations of the first kind: numerical results ⋮ Hierarchical basis preconditioners for first kind integral equations ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ The optimal rate of convergence of the \(p\)-version of the boundary element method in two dimensions ⋮ Nonlinear boundary integral equations for harmonic problems ⋮ The numerical solution of a nonlinear hypersingular boundary integral equation ⋮ The optimal convergence of the \(h\)-\(p\) version of the boundary element method with quasiuniform meshes for elliptic problems on polygonal domains ⋮ The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: A priori error analysis ⋮ Multilevel methods for the \(h\)-, \(p\)-, and \(hp\)-versions of the boundary element method ⋮ Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

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• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
• The $h-p$ version of the boundary element method on polygonal domains with quasiuniform meshes
• Multigrid solvers and preconditioners for first kind integral equations
• Error Analysis of a Boundary Element Collocation Method for a Screen Problem in ℝ 3 .
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• A Posteriori Error Estimates for Boundary Element Methods
• An improved boundary element method for the charge density of a thin electrified plate in ℝ³

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