Some aspects of the method of fundamental solutions for certain harmonic problems
type: Item
instance of: scholarly article
title: Some aspects of the method of fundamental solutions for certain harmonic problems
zbMATH Open document ID: 0995.65116
DOI: 10.1023/A:1012873712701
author: Y.-S. Smyrlis
author: A. Karageorghis
published in: Journal of Scientific Computing
publication date: 2002-05-30T00:00:00Z
review text: The authors address the following questions and answers: how to reduce the error when the singularities are placed very close to the boundary or very far from it. A method of implementation is also studied using the Dirichlet problem for Laplace equation in a disk. Finally, a set of numerical experiments is performed and it is also shown that the results are quite satisfactory. It is an interesting paper to study.
reviewed by: Prabhat Kumar Mahanti
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1747869
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: numerical experiments
zbMATH Keywords: boundary value problem
zbMATH Keywords: harmonic problems
zbMATH Keywords: error reduction
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: Laplace equation
MaRDI profile type: Publication
full work available at URL: a:1012873712701
OpenAlex ID: W1507435371
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description: scientific article; zbMATH DE number 1747869