The method of fundamental solutions for solving a Cauchy problem of Laplace's equation in a multi-connected domain

DOI10.1080/17415970701602614zbMath1258.65102OpenAlexW2106730557MaRDI QIDQ4908319

Ting Wei, Dayong Zhou

Publication date: 5 March 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415970701602614

zbMATH Keywords

Cauchy problemLaplace equationmethod of fundamental solutionsmulti-connected domain

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

Related Items (17)

Generalized finite difference method for solving two-dimensional inverse Cauchy problems ⋮ The MFS and MAFS for solving Laplace and biharmonic equations ⋮ A variational-type method of fundamental solutions for a Cauchy problem of Laplace's equation ⋮ The Method of Fundamental Solution for a Radially Symmetric Heat Conduction Problem with Variable Coefficient ⋮ Numerical solution of continuation problem for 3D steady-state diffusion in cylindrically layered medium ⋮ Convergence analysis for the Cauchy problem of Laplace's equation by a regularized method of fundamental solutions ⋮ Fading regularization MFS algorithm for the Cauchy problem associated with the two-dimensional Stokes equations ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ Regularized solutions with a singular point for the inverse biharmonic boundary value problem by the method of fundamental solutions ⋮ The determination temperature-dependent thermal conductivity as inverse steady heat conduction problem ⋮ Inverse source identification by Green's function ⋮ A meshless method based on RBFs method for nonhomogeneous backward heat conduction problem ⋮ Cauchy problems of Laplace's equation by the methods of fundamental solutions and particular solutions ⋮ A survey of applications of the MFS to inverse problems ⋮ A regularization method for a Cauchy problem of Laplace's equation in an annular domain ⋮ Application of the method of fundamental solutions and radial basis functions for inverse transient heat source problem ⋮ Solutions of boundary detection problem for modified Helmholtz equation by Trefftz method

Uses Software

• Regularization tools

Cites Work

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