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CALCOLO

, Volume 41, Issue 2, pp 89–113 | Cite as

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

  • T. Apel
  • S. Nicaise
Article
  • 69 Downloads

Abstract

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.

Keywords

Aspect Ratio Large Class Order Element Element Pair Anisotropic Mesh 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • T. Apel
    • 1
  • S. Nicaise
    • 2
  1. 1.Institut für Mathematik und Bauinformatik, Universität der Bundeswehr München, NeubibergGermany
  2. 2.Université de Valenciennes et du Hainaut Cambrésis, Institut des Sciences et Techniques de Valenciennes, ValenciennesFrance

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