Iterative solvers for BEM algebraic systems of equations

DOI10.1016/S0955-7997(98)00044-7zbMath0946.65122OpenAlexW2053633832MaRDI QIDQ1961500

F. P. Valente, H. L. G. Pina

Publication date: 26 October 2000

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0955-7997(98)00044-7

zbMATH Keywords

convergencepreconditioningboundary integral methodconjugate gradient methodKrylov subspace iterative methodsill-conditioned systemboundary element collocationelliptic second-order boundary value problemsunsymmetric systems

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) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (5)

Conjugate gradient methods for three-dimensional BEM systems of equations ⋮ A fast dual boundary element method for 3D anisotropic crack problems ⋮ A fast 3D dual boundary element method based on hierarchical matrices ⋮ Iterative techniques for 3-D boundary element method systems of equations ⋮ Solution of Poisson's equation by iterative DRBEM using compactly supported, positive definite radial basis function

Uses Software

• Bi-CG
• CGS

Cites Work

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• Conjugate gradient type methods and preconditioning
• BiCGstab(\(l\)) for linear equations involving unsymmetric matrices with complex spectrum
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• High Performance Preconditioning
• A numerical study of various algorithms related to the preconditioned conjugate gradient method
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Convergence of Conjugate Residual-Like Methods to Solve Linear Equations
• A numerical comparison of conjugate gradient-like methods
• Conjugate gradient methods and ILU preconditioning of non-symmetric matrix systems with arbitrary sparsity patterns
• CGS, A Fast Lanczos-Type Solver for Nonsymmetric Linear systems
• The Lanczos Biorthogonalization Algorithm and Other Oblique Projection Methods for Solving Large Unsymmetric Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Iterative solution techniques in boundary element analysis
• Solution of BEM systems of equations via iterative techniques
• Iterative Solution Methods
• Orthogonal Error Methods
• The Convergence of Linear Stationary Iterative Processes for Solving Singular Unstructured Systems of Linear Equations

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