Numerical analysis of the method of fundamental solution for harmonic problems in annular domains

DOI10.1002/num.20104zbMath1097.65118OpenAlexW2167560593MaRDI QIDQ5471064

Andreas Karageorghis, Yiorgos-Sokratis Smyrlis, Th. Tsangaris

Publication date: 6 June 2006

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20104

zbMATH Keywords

convergenceDirichlet problemnumerical experimentsfast Fourier transformerror boundsmethod of fundamental solutionsLaplace's equationannular domains

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

A matrix decomposition MFS algorithm for certain linear elasticity problems, A variational-type method of fundamental solutions for a Cauchy problem of Laplace's equation, Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains, Efficient MFS algorithms for problems in thermoelasticity, Analysis of the method of fundamental solutions for the modified Helmholtz equation, The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain, Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems, Convergence of the method of fundamental solutions for Poisson's equation on the unit sphere, A regularization method for a Cauchy problem of Laplace's equation in an annular domain, Applicability and applications of the method of fundamental solutions, The method of fundamental solutions for annular shaped domains, Density results with linear combinations of translates of fundamental solutions

Cites Work

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