Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques
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Publication:2040858
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
logarithmic singularitymethod of fundamental solutionsmethod of particular solutionssingularity problemssource functionsreduced convergence ratesLaplace's/Poisson's equationremoval techniques
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
- On choosing the location of the sources in the MFS
- Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
- Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation
- The method of fundamental solutions for annular shaped domains
- Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes
- Reducing the ill conditioning in the method of fundamental solutions
- A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis
- 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
- Particular solutions of Laplace's equations on polygons and new models involving mild singularities
- A survey of applications of the MFS to inverse problems
- The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
- Boundary Element Methods
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