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dc.contributor.authorKane, Stephen
dc.contributor.authorDavies, Alan
dc.contributor.authorCrann, Diane
dc.contributor.authorLai, Choi-Hong
dc.date.accessioned2017-04-20T08:34:54Z
dc.date.available2017-04-20T08:34:54Z
dc.date.issued2007
dc.identifier.citationKane , S , Davies , A , Crann , D & Lai , C-H 2007 , ' A hybrid Laplace transform/finite difference boundary element method for diffusion problems ' Computer Modelling in Engineering and Sciences , vol. 18 , no. 2 , pp. 79-86 . https://doi.org/10.3970/cmes.2007.018.079
dc.identifier.issn1526-1492
dc.identifier.otherPURE: 10895970
dc.identifier.otherPURE UUID: daba2f15-79b1-4d6d-a389-c838d206e978
dc.identifier.otherScopus: 34249309548
dc.identifier.urihttp://hdl.handle.net/2299/17980
dc.descriptionStephen Kane, Alan Davies, and Choi-Hong Lai, ‘A hybrid Laplace transform/finite difference boundary element method for diffusion problems’, Computer Modelling in Engineering and Sciences, Vol. 18 (2): 79-86, 2007, available online at doi: 10.3970/cmes.2007.018.079. Published by Tech Science Press.
dc.description.abstractThe solution process for diffusion problems usually involves the time development separately from the space solution. A finite difference algorithm in time requires a sequential time development in which all previous values must be determined prior to the current value. The Stehfest Laplace transform algorithm, however, allows time solutions without the knowledge of prior values. It is of interest to be able to develop a time-domain decomposition suitable for implementation in a parallel environment. One such possibility is to use the Laplace transform to develop coarse-grained solutions which act as the initial values for a set of fine-grained solutions. The independence of the Laplace transform solutions means that we do indeed have a time-domain decomposition process. Any suitable time solver can be used for the fine-grained solution. To illustrate the technique we shall use an Euler solver in time together with the dual reciprocity boundary element method for the space solutionen
dc.format.extent7
dc.language.isoeng
dc.relation.ispartofComputer Modelling in Engineering and Sciences
dc.subjectboundary element method
dc.subjectfinite difference method
dc.titleA hybrid Laplace transform/finite difference boundary element method for diffusion problemsen
dc.contributor.institutionSchool of Physics, Astronomy and Mathematics
dc.contributor.institutionMathematics Research Group
dc.description.statusPeer reviewed
dc.identifier.urlhttp://www.techscience.com/cmes/2007/v18n2_index.html
dc.relation.schoolSchool of Physics, Astronomy and Mathematics
rioxxterms.versionofrecordhttps://doi.org/10.3970/cmes.2007.018.079
rioxxterms.typeJournal Article/Review
herts.preservation.rarelyaccessedtrue
herts.rights.accesstypeclosedAccess


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