The inf-sup condition for low order elements on anisotropic meshes期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The inf-sup condition for low order elements on anisotropic meshes

Authors:	T Apel S Nicaise

Affiliation:	1.Institut für Mathematik und Bauinformatik,Universit?t der Bundeswehr München,Neubiberg,Germany;2.Institut des Sciences et Techniques de Valenciennes,Université de Valenciennes et du Hainaut Cambrésis,Valenciennes,France

Abstract:	On a large class of two-dimensional anisotropic meshes, the infsup condition (stability) is proved for the triangular and quadrilateral finite element pairs suggested by Bernardi/Raugel and Fortin. As a consequence the pairs $\mathcal{P}_2 - \mathcal{P}_0 ,\mathcal{Q}_2 - \mathcal{P}_0$ , and $\mathcal{Q}'_2 - \mathcal{P}_0$ turn out to be stable independent of the aspect ratio of the elements. Both the visit of the first author in Valenciennes and the visit of the second author in Chemnitz were financed by the DFG (German Research Foundation), Sonderforschungsbereich 393.

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