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The inf-sup condition for the Bernardi-Fortin-Raugel element on anisotropic meshes

On a large class of two-dimensional anisotropic meshes, the inf-sup condition (stability) is proved for the triangular and quadrilateral finite element pairs suggested by Bernardi/Raugel and Fortin. As a consequence the pairs ${\cal P}_2-{\cal P}_0$, ${\cal Q}_2-{\cal P}_0$, and ${\cal Q}_2^\prime-{\cal P}_0$ turn out to be stable independent of the aspect ratio of the elements.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:ch1-200601341
Date31 August 2006
CreatorsApel, Thomas, Nicaise, Serge
ContributorsTU Chemnitz, SFB 393
PublisherUniversitätsbibliothek Chemnitz
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:preprint
Formattext/html, text/plain, image/png, image/gif, text/plain, image/gif, application/pdf, application/x-gzip, text/plain, application/zip
SourcePreprintreihe des Chemnitzer SFB 393, 03-15

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