Mathematical and numerical studies on meshless methods for exterior unbounded domain problems

DOI10.1016/j.jcp.2011.05.017zbMath1252.65202arXiv1006.0329OpenAlexW2009920427MaRDI QIDQ655014

Juan-Miguel Gracia

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0329

zbMATH Keywords

numerical experimentscondition numberLaplace equationmethod of fundamental solutionsmeshless methodmodified Trefftz methodill-conditionedexterior unbounded domain

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (2)

An equilibrated method of fundamental solutions to choose the best source points for the Laplace equation ⋮ Regularized collocation Trefftz method for void detection in two-dimensional steady-state heat conduction problems

Cites Work

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• Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept
• The collocation points of the fundamental solution method for the potential problem
• On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
• Improving the Ill-conditioning of the Method of Fundamental Solutions for 2D Laplace Equation
• Fundamental Solutions Method for Elliptic Boundary Value Problems
• The Approximate Solution of Elliptic Boundary-Value Problems by Fundamental Solutions
• Method of fundamental solutions: singular value decomposition analysis

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