Some recent results and proposals for the use of radial basis functions in the BEM
type: Item
instance of: scholarly article
title: Some recent results and proposals for the use of radial basis functions in the BEM
zbMATH Open document ID: 0948.65132
DOI: 10.1016/S0955-7997(98)00087-3
author: H. Bowman
author: M. A. Golberg
author: C. S. Chen
published in: Engineering Analysis with Boundary Elements
publication date: 2000-11-26T00:00:00Z
review text: The paper gives an overview of the construction principles of radial basis functions (RBFs) with global and local supports including very recent results on the construction of RBFs on manifolds and their properties. The main part of the survey paper is devoted to the use of RBFs for solving partial differential equations (PDEs), in particular, for construction particular solution of certain PDEs. The application of RBFs to time-dependent problems is also considered. Finally, the authors discuss the use of RBFs in the domain-boundary method and for the solution of boundary integral equations. The bibliography provides 70 references.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1389923
zbMATH Keywords: boundary element method
zbMATH Keywords: dual reciprocity method
zbMATH Keywords: radial basis functions
zbMATH Keywords: survey paper
zbMATH Keywords: domain-boundary method
zbMATH Keywords: boundary integral equations
zbMATH Keywords: bibliography
reviewed by: Ulrich Langer
MaRDI profile type: Publication
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full work available at URL: s0955-7997(98)00087-3
OpenAlex ID: W2092250306
description: scientific article; zbMATH DE number 1389923