Properties of Gaussian radial basis functions in the dual reciprocity boundary element method
type: Item
instance of: scholarly article
title: Properties of Gaussian radial basis functions in the dual reciprocity boundary element method
zbMATH Open document ID: 0787.65085
DOI: 10.1007/BF00942764
author: V. Pereyra
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1994-05-24T00:00:00Z
review text: The dual reciprocity boundary element approach allows for inhomogeneous partial differential equations (PDE) to be treated only as boundary value problems upon discretization. The key factor in this approach is the adoption of a simple particular solution to the inhomogeneous PDE which is approximated over the domain. This interesting paper addresses this subject and provides important convergence demonstrations for Gaussian radial basis function approximations, including error bound estimations.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 488210
zbMATH Keywords: dual reciprocity boundary element method
zbMATH Keywords: convergence
zbMATH Keywords: Gaussian radial basis function
zbMATH Keywords: error bound
reviewed by: J. C. F. Telles
MaRDI profile type: Publication
cites work: Q3219912
cites work: Q3328899
cites work: Q4004211
cites work: Q4026010
cites work: An effective boundary element method for inhomogeneous partial differential equations
cites work: A boundary element approach for nonlinear boundary-value problems
cites work: Q5180741
full work available at URL: https://doi.org/10.1007/bf00942764
OpenAlex ID: W2045560996
description: scientific article; zbMATH DE number 488210