Numerische Mathematik

, Volume 99, Issue 1, pp 131–140 | Cite as

On the stability of BDMS and PEERS elements

  • Marco Lonsing
  • Rüdiger VerfürthEmail author


Using “Fortin operators” we give a new proof of stability for Stenberg’s family of BDMS elements in linear elasticity. Our approach yields the inf-sup condition with respect to the standard norms, which is indispensable for a posteriori error analysis. Furthermore our technique allows the construction of another family of finite elements strongly related to the classical PEERS element. The given estimates are robust for nearly incompressible materials.


Mathematical Method Error Analysis Linear Elasticity Posteriori Error Standard Norm 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Ruhr-Universität BochumFakultät für MathematikBochumGermany

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