A comparison of domain integral evaluation techniques for boundary element methods
In many cases, boundary integral equations contain a domain integral. This can be evaluated by discretization of the domain into domain elements. Historically, this was seen as going against the spirit of boundary element methods, and several methods were developed to avoid this discretization, nota...
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Published in | International journal for numerical methods in engineering Vol. 52; no. 4; pp. 417 - 432 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Chichester, UK
John Wiley & Sons, Ltd
10.10.2001
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Subjects | |
Online Access | Get full text |
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Summary: | In many cases, boundary integral equations contain a domain integral. This can be evaluated by discretization of the domain into domain elements. Historically, this was seen as going against the spirit of boundary element methods, and several methods were developed to avoid this discretization, notably dual and multiple reciprocity methods and particular solution methods. These involved the representation of the interior function with a set of basis functions, generally of the radial type. In this study, meshless methods (dual reciprocity and particular solution) are compared to the direct domain integration methods. The domain integrals are evaluated using traditional methods and also with multipole acceleration. It is found that the direct integration always results in better accuracy, as well as smaller computation times. In addition, the multipole method further improves on the computation times, in particular where multiple evaluations of the integral are required, as when iterative solvers are used. The additional error produced by the multipole acceleration is negligible. Copyright © 2001 John Wiley & Sons, Ltd. |
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Bibliography: | ark:/67375/WNG-Z6XJ389B-R Sandia National Laboratories, partially - No. DE-AC04-94AL85000 DOE, U.S.A., partially - No. DE-FG03-97ER14778; No. DE-FG03-97ER25332 istex:B8EDCB8FD9FCAB28CA7D93C2C4FD66CE19891E7E ArticleID:NME217 ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0029-5981 1097-0207 |
DOI: | 10.1002/nme.217 |