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Title of article :
Averaging technique for a posteriori error control in elasticity. Part III: Locking-free nonconforming FEM Original Research Article
Author/Authors :
Carsten Carstensen، نويسنده , , Stefan A. Funken، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2001
Pages :
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Abstract :
In the third part of our investigations on averaging techniques for a posteriori error control in elasticity we focus on nonconforming finite elements in two dimensions. Kouhia and Stenberg [Comput. Methods Appl. Mech. Engrg. 124 (1995) 195] established robust a priori error estimates for a Galerkin-discretisation where the first component of the discrete displacement function is discretised with conforming and the second with nonconforming P1 finite elements. Here we study robust, i.e., λ-independent reliability and efficiency estimates for averaging error estimators. Numerical evidence supports that the reliability depends on the smoothness of given right-hand sides and independent of the structure of a shape-regular mesh.
Keywords :
Elasticity , A posteriori error estimates , Adaptive algorithm , reliability , Finite element method , Nonconforming finite elements
Journal title :
Computer Methods in Applied Mechanics and Engineering
Serial Year :
Link To Document :