A new theoretical error estimate of the method of fundamental solutions applied to reduced wave problems in the exterior region of a disk

DOI10.1016/j.cam.2011.01.042zbMath1217.65205OpenAlexW2092252567MaRDI QIDQ534222

Teruo Ushijima, Hidenori Ogata, Fumihiro Chiba

Publication date: 17 May 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.042

zbMATH Keywords

numerical exampleserror estimateHelmholtz equationcollocationDirichlet boundary value problemmethod of fundamental solutionswave problem

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

Related Items (3)

Asymptotic analysis of the conventional and invariant schemes for the method of fundamental solutions applied to potential problems in doubly-connected regions ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals

Uses Software

• exflib

Cites Work

• Numerical conformal mapping of periodic structure domains
• A fundamental solution method for three-dimensional Stokes flow problems with obstacles in a planar periodic array
• The method of fundamental solutions for elliptic boundary value problems
• Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc
• The method of fundamental solutions for scattering and radiation problems.
• A fundamental solution method for viscous flow problems with obstacles in a periodic array.
• A fundamental solution method for the reduced wave problem in a domain exterior to a disc
• Comparison of conventional and ``invariant schemes of fundamental solutions method for annular domains
• Exponential decay of errors of a fundamental solution method applied to a reduced wave problem in the exterior region of a disc
• A fundamental solution method for three-dimensional viscous flow problems with obstacles in a periodic array
• A Charge Simulation Method for Numerical Conformal Mapping onto Circular and Radial Slit Domains
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