Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball

DOI10.1007/s10444-007-9056-1zbMath1157.65058OpenAlexW1980703328MaRDI QIDQ960008

Xin Li

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1007/s10444-007-9056-1

zbMATH Keywords

convergencenumerical examplesspherical harmonicsquadrature formulashyperinterpolationmethod of fundamental solutionsmodified Helmholtz equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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 (4)

The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions ⋮ Method of fundamental solutions for Neumann problems of the modified Helmholtz equation in disk domains ⋮ Approximation of potential integral by radial bases for solutions of Helmholtz equation

Cites Work

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• Elliptic Partial Differential Equations of Second Order
• A Pseudospectral Three-Dimensional Boundary Integral Method Applied to a Nonlinear Model Problem from Finite Elasticity
• Trefftz method: A general theory
• Inverse acoustic and electromagnetic scattering theory

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