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Computational Methods in Applied Mathematics

Editor-in-Chief: Carstensen, Carsten

Managing Editor: Matus, Piotr

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Volume 13, Issue 3


Symmetry-Free, p-Robust Equilibrated Error Indication for the hp-Version of the FEM in Nearly Incompressible Linear Elasticity

Philipp Dörsek / Jens M. Melenk
Published Online: 2013-07-02 | DOI: https://doi.org/10.1515/cmam-2013-0007


We consider the extension of the p-robust equilibrated error estimator due to Braess, Pillwein and Schöberl to linear elasticity. We derive a formulation where the local mixed auxiliary problems do not require symmetry of the stresses. The resulting error estimator is p-robust, and the reliability estimate is also robust in the incompressible limit if quadratics are included in the approximation space. Extensions to other systems of linear second-order partial differential equations are discussed. Numerical simulations show only moderate deterioration of the effectivity index for a Poisson ratio close to .

Keywords: A Posteriori Error Estimates; Equilibration; Linear Elasticity; hp Finite Elements; Nearly Incompressibility

About the article

Published Online: 2013-07-02

Published in Print: 2013-07-01

Citation Information: Computational Methods in Applied Mathematics, Volume 13, Issue 3, Pages 291–304, ISSN (Online) 1609-9389, ISSN (Print) 1609-4840, DOI: https://doi.org/10.1515/cmam-2013-0007.

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