Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques
type: Item
instance of: scholarly article
title: Singularity problems from source functions as source nodes located near boundaries; numerical methods and removal techniques
author: Ming-Gong Lee
author: Liping Zhang
author: Zi-Cai Li
author: Hung-Tsai Huang
published in: Engineering Analysis with Boundary Elements
publication date: 2021-07-14T00:00:00Z
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 7371670
zbMATH Keywords: singularity problems
zbMATH Keywords: source functions
zbMATH Keywords: logarithmic singularity
zbMATH Keywords: reduced convergence rates
zbMATH Keywords: removal techniques
zbMATH Keywords: Laplace's/Poisson's equation
zbMATH Keywords: method of particular solutions
zbMATH Keywords: method of fundamental solutions
MaRDI profile type: Publication
full work available at URL: j.enganabound.2021.05.016
OpenAlex ID: W3174795098
cites work: Reducing the ill conditioning in the method of fundamental solutions
cites work: Q3996272
cites work: On choosing the location of the sources in the MFS
cites work: Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
cites work: Q3126804
cites work: Q3323133
cites work: Source nodes on elliptic pseudo-boundaries in the method of fundamental solutions for Laplace's equation; selection of pseudo-boundaries
cites work: Moving pseudo-boundary method of fundamental solutions for nonlinear potential problems
cites work: Q3470840
cites work: A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
cites work: A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis
cites work: A survey of applications of the MFS to inverse problems
cites work: Q5821083
cites work: Q4397750
cites work: The method of fundamental solutions for annular shaped domains
cites work: Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation
cites work: Q5431480
cites work: Particular solutions of Laplace's equations on polygons and new models involving mild singularities
cites work: Boundary methods for Dirichlet problems of Laplaces equation in elliptic domains with elliptic holes
cites work: The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
cites work: Boundary Element Methods
cites work: Q4127946
cites work: Q3847171
cites work: Comparisons of method of fundamental solutions, method of particular solutions and the MFS-QR; stability analysis
DOI: 10.1016/J.ENGANABOUND.2021.05.016
description: scientific article; zbMATH DE number 7371670