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Equilibrium finite elements for the linear elastic problem

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Summary

We consider a class of equilibrium finite element methods for elasticity problems. The approximate stresses satisfy the equilibrium equations but the symmetry of the stress tensor is relaxed. Optimal error bounds for the stresses and numerical examples are given.

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Authors and Affiliations

  1. Centre de Mathématiques Appliquées, Ecole Polytechnique, Route de Saclay, 91128, Palaiseau Cedex, France

    M. Amara

  2. Laboratoire d'Analyse Numérique, Université P. et M. Curie, Tour 55-65-5ème étage 4, place Jussieu, 75230, Paris Cedex 05, France

    J. M. Thomas

Authors
  1. M. Amara
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  2. J. M. Thomas
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Amara, M., Thomas, J.M. Equilibrium finite elements for the linear elastic problem. Numer. Math. 33, 367–383 (1979). https://doi.org/10.1007/BF01399320

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  • DOI: https://doi.org/10.1007/BF01399320

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