Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems

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dc.citation.firstpage11en_US
dc.citation.journalTitleMechanics Research Communicationsen_US
dc.citation.lastpage18en_US
dc.citation.volumeNumber52en_US
dc.contributor.authorSoghrati, Soheilen_US
dc.contributor.authorStanciulescu, Ilincaen_US
dc.date.accessioned2014-08-04T20:53:45Z
dc.date.available2014-08-04T20:53:45Z
dc.date.issued2013en_US
dc.description.abstractWe introduce a new approach to deriving higher order basis functions implemented in the Multiscale Finite Element Method (MsFEM) for elliptic problems. MsFEM relies on capturing small scale features of the system through bases utilized in the coarse scale solution. The proposed technique for the derivation of such bases is completely systematic and the increase in the associated computational cost is insignificant. We also show that the implementation of higher order bases in MsFEM leads to similar advantages as using higher order Lagrangian shape functions in the conventional finite element method. Various numerical examples for heat transfer problems with periodic or heterogeneous thermal properties are given to demonstrate the efficiency and improved characteristics of the proposed higher order bases.en_US
dc.identifier.citationSoghrati, Soheil and Stanciulescu, Ilinca. "Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems." <i>Mechanics Research Communications,</i> 52, (2013) Elsevier: 11-18. http://dx.doi.org/10.1016/j.mechrescom.2013.06.002.
dc.identifier.doihttp://dx.doi.org/10.1016/j.mechrescom.2013.06.002en_US
dc.identifier.urihttps://hdl.handle.net/1911/76356
dc.language.isoengen_US
dc.publisherElsevier
dc.rightsThis is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.en_US
dc.titleSystematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problemsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpost-printen_US
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