Analysis of the method of fundamental solutions for the modified Helmholtz equation

DOI10.1016/j.amc.2017.01.063zbMath1411.78011OpenAlexW2589465446MaRDI QIDQ1735441

Hung-Tsai Huang, Zhao Lu Tian, Zi Cai Li, Ching-Shyang Chen

Publication date: 28 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2017.01.063

zbMATH Keywords

stability analysiserror analysiscondition numbermethod of fundamental solutions

Mathematics Subject Classification ID

Related Items (7)

The method of fundamental solutions for the Helmholtz equation ⋮ Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries ⋮ 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 ⋮ Analysis on the method of fundamental solutions for biharmonic equations ⋮ The modified method of fundamental solutions for exterior problems of the Helmholtz equation; spurious eigenvalues and their removals ⋮ Stability analysis of the method of fundamental solutions with smooth closed pseudo-boundaries for Laplace's equation: better pseudo-boundaries

Cites Work

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• Charge simulation method using exterior mapping functions
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• Scattered Data Approximation
• Effective condition number and its applications
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