The method of fundamental solutions for Helmholtz eigenvalue problems in simply and multiply connected domains

DOI10.1016/j.enganabound.2005.08.011zbMath1195.65204OpenAlexW2005273290MaRDI QIDQ1958147

Yanyan Li

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2005.08.011

zbMATH Keywords

eigenvalue problemmultipole expansionmethod of fundamental solutionsmultiply connected

Mathematics Subject Classification ID

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

The method of fundamental solutions for the Helmholtz equation, Trefftz-based methods for time-harmonic acoustics, Application of the generalized multipole technique in band structure calculation of two‐dimensional solid/fluid phononic crystals, A meshless Chebyshev collocation method for eigenvalue problems of the Helmholtz equation, Implicit boundary integral methods for the Helmholtz equation in exterior domains, Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains, Application of the MFS to inverse obstacle scattering problems, The method of external excitation for solving Laplace singular eigenvalue problems, The method of fundamental solutions for problems of free vibrations of plates, The methods of external and internal excitation for problems of free vibrations of non-homogeneous membranes, Singular boundary method for acoustic eigenanalysis, The Method of External Excitation for Problems of Free Vibrations of Non-Homogeneous Timoshenko Beams

Uses Software

• BRENT

Cites Work

• The method of fundamental solutions for elliptic boundary value problems
• Eigensolutions of multiply connected membranes using the method of fundamental solutions
• Boundary element analysis for the Helmholtz eigenvalue problems with a multiply connected domain
• Spurious and true eigensolutions of Helmholtz BIEs and BEMs for a multiply connected problem
• The method of fundamental solutions for the calculation of the eigenvalues of the Helmholtz equation
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