TY - JOUR
T1 - Off-boundary approach to the boundary element method
AU - Achenbach, J. D.
AU - Kechter, G. E.
AU - Xu, Y. L.
N1 - Funding Information:
The work reported here was carried out in the course of research sponsored by the Office of Naval Research under Contract N00014-85-K-0401 with Northwestern University. A grant from Cray Research Inc. for access to the Pittsburgh Supercomputer Center is also gratefully acknowledged.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1988/9
Y1 - 1988/9
N2 - 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.
AB - 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.
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U2 - 10.1016/0045-7825(88)90157-0
DO - 10.1016/0045-7825(88)90157-0
M3 - Article
AN - SCOPUS:0024082450
SN - 0045-7825
VL - 70
SP - 191
EP - 201
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 2
ER -