Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc

DOI10.1016/S0377-0427(03)00559-4zbMath1029.65125MaRDI QIDQ1410852

Teruo Ushijima, Fumihiro Chiba

Publication date: 15 October 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationDirichlet boundary value problemCollocation methodreduced wave equationFundamental solution method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (11)

The method of fundamental solutions for the Helmholtz equation ⋮ Efficient MFS algorithms for inhomogeneous polyharmonic problems ⋮ Method of fundamental solutions for mixed and crack type problems in the classical theory of elasticity ⋮ The method of fundamental solutions for Helmholtz-type equations in composite materials ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk ⋮ Exponential decay of errors of a fundamental solution method applied to a reduced wave problem in the exterior region of a disc ⋮ The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals ⋮ Applicability and applications of the method of fundamental solutions ⋮ Computation of the scattering amplitude for a scattering wave produced by a disc - approach by a fundamental solution method ⋮ Density results with linear combinations of translates of fundamental solutions

Uses Software

• Ooura

Cites Work

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• A fundamental solution method for the reduced wave problem in a domain exterior to a disc
• An FEM-CSM combined method for planar exterior Laplace problems

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