A matrix decomposition MFS algorithm for axisymmetric biharmonic problems

DOI10.1007/s10444-004-1808-6zbMath1067.65135OpenAlexW2058967056MaRDI QIDQ1773955

Andreas Karageorghis, Yiorgos-Sokratis Smyrlis, Graeme Fairweather

Publication date: 28 April 2005

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-1808-6

zbMATH Keywords

numerical examplesfast Fourier transformsbiharmonic equationcollocationmethod of fundamental solutionsmeshless methodaxisymmetric domainsaxisymmetric biharmonic problemsmatrix decomposition method

Mathematics Subject Classification ID

Related Items (8)

Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Three-dimensional image reconstruction using the PF/MFS technique ⋮ The under-determined version of the MFS: taking more sources than collocation points ⋮ Applicability and applications of the method of fundamental solutions ⋮ A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains ⋮ Application of the least squares method in axisymmetric biharmonic problems ⋮ Efficient MFS algorithms in regular polygonal domains

Uses Software

• NAG

Cites Work

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• A quadratic finite element method for solving biharmonic problems in \(\mathbb R^ n\)
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• Integral equation solutions for simply supported polygonal plates
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• Uncoupled finite element solution of biharmonic problems for vector potentials
• The method of fundamental solutions for axisymmetric potential problems
• High accuracy solution of three-dimensional biharmonic equations

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