The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals

DOI10.1016/j.apnum.2019.06.008zbMath1477.65264OpenAlexW2950367788WikidataQ127663831 ScholiaQ127663831MaRDI QIDQ2273049

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

Publication date: 18 September 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.06.008

zbMATH Keywords

stability analysiserror analysisHelmholtz equationdegeneracyexterior problemsspurious eigenvaluesmethod of fundamental solutions (MFS)modified MFS

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) Boundary element methods for boundary value problems involving PDEs (65N38) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (5)

The Laplace equation in three dimensions by the method of fundamental solutions and the method of particular solutions ⋮ Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains ⋮ An overview of the method of fundamental solutions -- solvability, uniqueness, convergence, and stability ⋮ Super-exponential growth rates of condition number in the boundary knot method for the Helmholtz equation ⋮ Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries

Uses Software

• DLMF

Cites Work

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