The collocation points of the fundamental solution method for the potential problem
type: Item
instance of: scholarly article
title: The collocation points of the fundamental solution method for the potential problem
zbMATH Open document ID: 0852.65101
DOI: 10.1016/0898-1221(95)00186-3
author: Masashi Katsurada
author: Hisashi Okamoto
publication date: 1996-12-04T00:00:00Z
review text: The paper is dedicated to the further development of what is called the ``fundamental solution method'' for the numerical solution of boundary value problems for elliptic equations. One discusses the Dirichlet problem for the Laplace equation. The solution of this problem as a finite set is presented via the fundamental solution. When using the fundamental solution method the difficult arises in finding the good charge and/or collocation points. A new algorithm is proposed for finding these points. One proposes to search them simultaneously with computing the constants of a set which defines the approximate solution. Numerical experiments are given, they prove the effectiveness of the developed algorithm.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 878515
zbMATH Keywords: fundamental solution method
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Laplace equation
zbMATH Keywords: collocation points
MaRDI profile type: Publication
full work available at URL: 0898-1221(95)00186-3
OpenAlex ID: W2010245220
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 878515