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dc.contributor.authorSoghrati, Soheil
Stanciulescu, Ilinca
dc.date.accessioned 2014-08-04T20:53:45Z
dc.date.available 2014-08-04T20:53:45Z
dc.date.issued 2013
dc.identifier.citation Soghrati, Soheil and Stanciulescu, Ilinca. "Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems." Mechanics Research Communications, 52, (2013) Elsevier: 11-18. http://dx.doi.org/10.1016/j.mechrescom.2013.06.002.
dc.identifier.urihttps://hdl.handle.net/1911/76356
dc.description.abstract We 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.
dc.language.iso eng
dc.publisher Elsevier
dc.rights This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier.
dc.title Systematic Construction of Higher Order Bases for the Finite Element Analysis of Multiscale Elliptic Problems
dc.type Journal article
dc.citation.journalTitle Mechanics Research Communications
dc.citation.volumeNumber 52
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1016/j.mechrescom.2013.06.002
dc.type.publication post-print
dc.citation.firstpage 11
dc.citation.lastpage 18


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