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dc.contributor.authorGale, TJ
dc.contributor.authorJohnston, PR
dc.contributor.authorKilpatrick, D
dc.date.accessioned2017-05-03T13:56:17Z
dc.date.available2017-05-03T13:56:17Z
dc.date.issued2002
dc.date.modified2009-09-21T05:48:10Z
dc.identifier.issn1069-8299
dc.identifier.doi10.1002/cnm.542
dc.identifier.urihttp://hdl.handle.net/10072/7020
dc.description.abstractA method was developed for efficient boundary element method solution of potential problems that were large, linear and involved optimization of boundary geometry. The method involved forming an optimization region containing the section of boundary to be optimized, and an invariant region incorporating the remainder of the problem. Solution was by Gaussian elimination. Matrix elements arising from boundary discretization and application of the governing equations were manipulated to permit computations relating to the invariant region to be performed only once. The matrix and vector terms for the invariant region were first calculated, the matrix converted to upper-diagonal form and the values stored. For each boundary configuration within the optimization region, additional matrix elements were computed and appended to the pre-computed matrix. The complete set of equations were subsequently solved by conversion of the appended matrix terms to upper-diagonal form, followed by back-substitution. A practical example involved determining the electric field arising due to different electrodes implanted in the human heart. Computation time was found to be an order of magnitude less for the second and subsequent electrode configurations than for the first. The method may find application in boundary element method optimization problems involving complex or large regions.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.languageEnglish
dc.language.isoeng
dc.publisherJohn Wiley & Sons, Ltd
dc.publisher.placeUK
dc.publisher.urihttps://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.542
dc.relation.ispartofpagefrom827
dc.relation.ispartofpageto834
dc.relation.ispartofjournalCommunications in Numerical Methods in Engineering
dc.relation.ispartofvolume18
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode40
dc.titleEfficient boundary element method solution of potential problems that are large, linear and involve optimization of boundary geometry
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2002 John Wiley & Sons, Ltd. Self-archiving of the author-manuscript version is not yet supported by this publisher. Please refer to the journal link for access to the definitive, published version or contact the author for more information.
gro.date.issued2002
gro.hasfulltextNo Full Text
gro.griffith.authorJohnston, Peter R.


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