Conformal mapping for the efficient MFS solution of Dirichlet boundary value problems

DOI10.1007/s00607-008-0012-9zbMath1154.65092OpenAlexW2066165136MaRDI QIDQ956691

Andreas Karageorghis, Yiorgos-Sokratis Smyrlis

Publication date: 25 November 2008

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-008-0012-9

zbMATH Keywords

numerical examplesconformal mappingDirichlet problemsfast Fourier transformsLaplace equationcirculant matricesmethod of fundamental solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Schwarz-Christoffel-type mappings (30C30)

Related Items

Application of conformal mappings and the numerical analysis of conditioning of the matrices in Trefftz method for some boundary value problems, Equilibrium Configurations of Boundary Droplets in a Self-Organizing Inhibitory System, Circulant matrix and conformal mapping for solving partial differential equations, Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method, Efficient implementation of the MFS: The three scenarios

Uses Software

• SCPACK
• CONFPACK
• BKMPACK

Cites Work

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