A discrete de Rham complex with enhanced smoothness

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A discrete de Rham complex with enhanced smoothness

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dc.contributor.author Tai, Xue Cheng
dc.contributor.author Winther, Ragnar
dc.date.accessioned 2009-05-06T07:18:10Z
dc.date.available 2009-05-06T07:18:10Z
dc.date.copyright 2006
dc.date.issued 2009-05-06T07:18:10Z
dc.identifier.citation Tai, X. C., & Winther, R. (2006). A discrete de Rham complex with enhanced smoothness. CALCOLO, 43(4), 287–306.
dc.identifier.issn 0008-0624
dc.identifier.uri http://hdl.handle.net/10220/4596
dc.description.abstract Discrete de Rham complexes are fundamental tools in the construction of stable elements for some finite element methods. The purpose of this paper is to discuss a new discrete de Rham complex in three space dimensions, where the finite element spaces have extra smoothness compared to the standard requirements. The motivation for this construction is to produce discretizations which have uniform stability properties for certain families of singular perturbation problem. In particular, we show how the spaces constructed here lead to discretizations of Stokes type systems which have uniform convergence properties as the Stokes flow approaches a Darcy flow.
dc.format.extent 20 p.
dc.language.iso en
dc.relation.ispartofseries CALCOLO
dc.rights CALCOLO @ copyright 2006 Springer-Verlag. The journal's website is located at http://www.springerlink.com/content/681qx8106u058868/?p=e3a7de29960748b8a4b305c5df68d30f&pi=1
dc.subject DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
dc.title A discrete de Rham complex with enhanced smoothness
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.openurl http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rft.object_id=954933105326&sfx.request_id=192332&sfx.ctx_obj_item=0
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