A novel approach to solve linear systems arising from BEM using fast wavelet transforms

DOI10.1002/mma.1186zbMath1186.65036OpenAlexW2090419852MaRDI QIDQ3549940

Reza Attarnejad, Latif Ebrahimnejad

Publication date: 30 March 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1186

zbMATH Keywords

algorithmnumerical resultsmultiresolution analysisboundary element methodwavelet transformsparse linear systemselasticity problemsGMRES solverDaubechies orthogonal waveletswavelet solver

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Numerical methods for wavelets (65T60) Iterative numerical methods for linear systems (65F10)

Related Items (2)

Analysis of elastostatic problems using a semi-analytical method with diagonal coefficient matrices ⋮ Development and implementation of some BEM variants - A critical review

Cites Work

• Applying wavelets to improve the boundary element method for elasticity problems
• Rapid solution of integral equations of classical potential theory
• Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems
• Fast wavelet transforms and numerical algorithms I
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Solution of BEM systems of equations via iterative techniques
• Introduction to wavelets in engineering
• Fast solution of problems with multiple load cases by using wavelet-compressed boundary element matrices

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