Approximation of potential integral by radial bases for solutions of Helmholtz equation

DOI10.1007/S10444-008-9065-8zbMath1187.65132OpenAlexW1975763015MaRDI QIDQ1014874

Xin Li

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10444-008-9065-8

zbMATH Keywords

convergencenumerical examplesHelmholtz equationpotential integralradial bases

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Cites Work

• Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball
• Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions
• Particular solutions of Helmholtz-type operators using higher order polyharmonic splines
• Inverse acoustic and electromagnetic scattering theory
• Approximation by radial bases and neural networks
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