Multiplicative Schwarz algorithms for the \(p\)-version Galerkin boundary element method in 3D

DOI10.1016/j.apnum.2006.03.019zbMath1106.65105OpenAlexW1983403930MaRDI QIDQ2507728

Matthias Maischak

Publication date: 5 October 2006

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.019

zbMATH Keywords

preconditioningconjugate gradient algorithmintegral equation methodmultiplicative Schwarz algorithm\(p\)-version Galerkin boundary element method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Boundary element methods for boundary value problems involving PDEs (65N38)

Uses Software

• maiprogs

Cites Work

• Unnamed Item
• Efficient algorithms for the \(p\)-version of the boundary element method
• Additive Schwarz algorithms for the \(p\) version of the Galerkin boundary element method
• Exponential convergence of the \(hp\)-version for the boundary element method on open surfaces
• The \(p\)-version of the boundary element method for a three-dimensional crack problem
• Multiplicative Schwarz Algorithms for the Galerkin Boundary Element Method
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On the Convergence of the p-Version of the Boundary Element Galerkin Method
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Iterative Methods by Space Decomposition and Subspace Correction
• Domain decomposition methods for boundary integral equations of the first kind: numerical results
• Additive Schwarz method for the \(p\)-version of the boundary element method for the single layer potential operator on a plane screen

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