Convergence of the method of fundamental solutions for Poisson's equation on the unit sphere

DOI10.1007/s10444-006-9022-3zbMath1138.65097OpenAlexW1978208694MaRDI QIDQ2479577

Xin Li

Publication date: 4 April 2008

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

Full work available at URL: https://doi.org/10.1007/s10444-006-9022-3

zbMATH Keywords

spherical harmonicconvergenceboundary value problemsPoisson's equationradial basis functionsLaplace equationunit spheremethod of fundamental solutions

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 (8)

The kernel regularized learning algorithm for solving Laplace equation with Dirichlet boundary ⋮ Application of the method of fundamental solutions to 2D and 3D Signorini problems ⋮ The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions ⋮ A meshless method for nonhomogeneous polyharmonic problems using method of fundamental solution coupled with quasi-interpolation technique ⋮ The method of fundamental solutions for nonlinear elliptic problems ⋮ Rate of convergence of the method of fundamental solutions and hyperinterpolation for modified Helmholtz equations on the unit ball ⋮ Radial basis approximation for Newtonian potentials ⋮ New locations of source nodes for method of fundamental solutions solving Laplace's equation; pseudo radial-lines

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