Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains

DOI10.1007/s11075-022-01286-yzbMath1497.65254OpenAlexW4293235710MaRDI QIDQ2674585

Yi-Min Wei, Hung-Tsai Huang, Li-Ping Zhang, Zi Cai Li

Publication date: 14 September 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-022-01286-y

zbMATH Keywords

stability analysiserror analysisHelmholtz equationmultiply connected domainsmethod of fundamental solutionsbetter pseudo-boundariesdegeneracy in analysisspurious eigenvalues free

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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