A robust nonconforming H-2-element

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A robust nonconforming H-2-element

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dc.contributor.author Nilssen, Trygve K.
dc.contributor.author Tai, Xue Cheng
dc.contributor.author Winther, Ragnar
dc.date.accessioned 2009-08-12T03:16:58Z
dc.date.available 2009-08-12T03:16:58Z
dc.date.copyright 2000
dc.date.issued 2009-08-12T03:16:58Z
dc.identifier.citation Nilssen, T. K., Tan, X. C., & Winther R.(2000). A robust nonconforming H-2-element. Mathematics of Computation, 70(234), 489-505.
dc.identifier.issn 0025-5718
dc.identifier.uri http://hdl.handle.net/10220/6056
dc.description.abstract Finite element methods for some elliptic fourth order singular perturbation problems are discussed. We show that if such problems are discretized by the nonconforming Morley method, in a regime close to second order elliptic equations, then the error deteriorates. In fact, a counterexample is given to show that the Morley method diverges for the reduced second order equation. As an alternative to the Morley element we propose to use a nonconforming H-2-element which is H-1-conforming. We show that the new finite element method converges in the energy norm uniformly in the perturbation parameter.
dc.format.extent 17 p.
dc.language.iso en
dc.relation.ispartofseries Mathematics of Computation.
dc.rights Mathematics of Computation © copyright 2000 American Mathematical Society. The journal's website is located at http://www.ams.org/mcom/.
dc.subject DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis.
dc.title A robust nonconforming H-2-element
dc.type Journal Article
dc.contributor.school School of Physical and Mathematical Sciences
dc.identifier.openurl http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:ELSEVIER_SCOPUS&id=doi:&genre=&isbn=&issn=&date=2001&volume=70&issue=234&spage=489&epage=505&aulast=Nilssen&aufirst=%20T%20K&auinit=&title=Mathematics%20of%20Computation&atitle=A%20robust%20nonconforming%20H.
dc.identifier.doi http://dx.doi.org/10.1090/S0025-5718-00-01230-8
dc.description.version Published version

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