Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems

Wihler, Thomas

doi:10.1090/S0025-5718-06-01815-1

Locking-free adaptive discontinuous Galerkin FEM for linear elasticity problems
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by Thomas P. Wihler;

Math. Comp. 75 (2006), 1087-1102

DOI: https://doi.org/10.1090/S0025-5718-06-01815-1

Published electronically: January 20, 2006

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Abstract:

An adaptive discontinuous Galerkin finite element method for linear elasticity problems is presented. We develop an a posteriori error estimate and prove its robustness with respect to nearly incompressible materials (absence of volume locking). Furthermore, we present some numerical experiments which illustrate the performance of the scheme on adaptively refined meshes.

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