Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method

DOI10.1007/s10915-016-0330-6zbMath1370.65070OpenAlexW2557442927MaRDI QIDQ2014320

Andreas Karageorghis, Ching-Shyang Chen, Xiao Yan Liu

Publication date: 11 August 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-016-0330-6

zbMATH Keywords

collocation methodnumerical examplesconformal mappingDirichlet problemsfast Fourier transformsradial basis functionsPoisson equationNeumann problemsKansa method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) 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 ⋮ Some new results for geometric inverse problems with the method of fundamental solutions ⋮ Kansa-RBF algorithms for elliptic problems in regular polygonal domains

Uses Software

• Matlab
• Schwarz-Christoffel
• SC Toolbox
• CONFPACK
• BKMPACK
• GaussQR

Cites Work

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• Schwarz-Christoffel Mapping
• Algorithm 843
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