A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains

DOI10.1007/s10915-005-9006-3zbMath1098.65117OpenAlexW2126313786MaRDI QIDQ2503135

Andreas Karageorghis, Th. Tsangaris, Yiorgos-Sokratis Smyrlis

Publication date: 14 September 2006

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-005-9006-3

zbMATH Keywords

numerical examplesfast Fourier transformbiharmonic equationLaplace equationcollocationcirculant matricesmatrix decomposition algorithmsMethod of fundamental solutionshollow axisymmetric domains

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ The under-determined version of the MFS: taking more sources than collocation points ⋮ A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains

Cites Work

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• \(T\)- and \(D\)-matrix methods for electromagnetic scattering by impedance obstacles
• A matrix decomposition MFS algorithm for axisymmetric potential problems
• A matrix decomposition MFS algorithm for problems in hollow axisymmetric domains

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