Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques

DOI10.1016/j.enganabound.2021.05.016OpenAlexW3174795098MaRDI QIDQ2040858

Ming-Gong Lee, Li-Ping Zhang, Zi Cai Li, Hung-Tsai Huang

Publication date: 14 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.05.016

zbMATH Keywords

logarithmic singularitymethod of fundamental solutionsmethod of particular solutionssingularity problemssource functionsreduced convergence ratesLaplace's/Poisson's equationremoval techniques

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Spurious eigenvalue-free algorithms of the method of fundamental solutions for solving the Helmholtz equation in bounded multiply connected domains ⋮ New locations of source nodes for method of fundamental solutions solving Laplace's equation; pseudo radial-lines

Cites Work

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• Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes
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• Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries
• Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis
• A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
• Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems
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