Preconditioned Iterative Methods for Linear Equations Arising from the Boundary Element Method

DOI10.1080/10618560310001642231zbMath1086.65032OpenAlexW2032554358MaRDI QIDQ3375547

Michio Sakakihara, Naotaka Okamoto, Hiroshi Niki, Munenori Morimoto

Publication date: 14 March 2006

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560310001642231

zbMATH Keywords

boundary element methodnumerical experimentspreconditioningLaplace equationGauss elimination methodGauss-Seidel iterative methodconvection-diffusion-reaction equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

An extended \(GS\) method for dense linear systems ⋮ Efficient multilevel restriction–prolongation expressions for hybrid finite volume element method

Cites Work

• Modified iterative methods for consistent linear systems
• A comparison theorem for the iterative method with the preconditioner \((I+S_{max})\)
• A new criterion for the H-matrix property
• Analysis of convective diffusion problem with first-order chemical reaction by boundary element method
• Iterative Solution Methods
• Matrix Iterative Analysis

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