A fundamental solution method for the reduced wave problem in a domain exterior to a disc
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Publication:1872977
DOI10.1016/S0377-0427(02)00729-XzbMath1022.65129MaRDI QIDQ1872977
Teruo Ushijima, Fumihiro Chiba
Publication date: 19 May 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (12)
A meshless method for solving 1D time-dependent heat source problem ⋮ Inverse heat conduction problem in two-dimensional anisotropic medium ⋮ Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc ⋮ The method of fundamental solutions and its combinations for exterior problems ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Convergence of the method of fundamental solutions for Poisson's equation on the unit sphere ⋮ A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk ⋮ Convergence of the method of fundamental solutions for solving the boundary value problem of modified Helmholtz equation ⋮ Exponential decay of errors of a fundamental solution method applied to a reduced wave problem in the exterior region of a disc ⋮ On solving boundary value problems of modified Helmholtz equations by plane wave functions ⋮ The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals ⋮ Computation of the scattering amplitude for a scattering wave produced by a disc - approach by a fundamental solution method
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