Off-boundary approach to the boundary element method
type: Item
instance of: scholarly article
title: Off-boundary approach to the boundary element method
zbMATH Open document ID: 0635.73039
DOI: 10.1016/0045-7825(88)90157-0
author: B. George
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: An alternative to the boundary element method for external domains is proposed, whereby the elements are located on the boundary, but the points of observation are taken inside the boundary. The modification removes the nonintegrable singularities from the domain of integration. It also provides a simple way of avoiding the ill-conditioning that occurs at fictitious eigenfrequencies. The off-boundary BEM is applied to scattering of a plane, time-harmonic, longitudinal wave by a spherical cavity in an unbounded linearly elastic, isotropic, homogeneous solid. Results obtained by the off-boundary approach are compared with exact results and with results obtained by the conventional BEM approach. The off-boundary approach produces excellent results with less effort than the conventional BEM.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74S99
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 4035290
zbMATH Keywords: boundary element method
zbMATH Keywords: external domains
zbMATH Keywords: nonintegrable singularities
zbMATH Keywords: ill-conditioning
zbMATH Keywords: fictitious eigenfrequencies
zbMATH Keywords: off-boundary BEM
zbMATH Keywords: scattering
zbMATH Keywords: plane, time-harmonic lognitudinal wave
zbMATH Keywords: spherical cavity
zbMATH Keywords: unbounded linearly elastic
zbMATH Keywords: isotropic
zbMATH Keywords: homogeneous solid
zbMATH Keywords: compact inhomogeneities
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90157-0
OpenAlex ID: W2077735764
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description: scientific article; zbMATH DE number 4035290