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Some equilibrium finite element methods for two-dimensional elasticity problems

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We consider some equilibrium finite element methods for two-dimensional elasticity problems. The stresses and the displacements are approximated by using piecewise linear functions. We establishL 2-estimates of orderO(h 2) for both stresses and displacements.

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  1. B. Mercier

    Present address: Centre de Mathématiques Appliquées, Ecole Polytechnique, Route de Saclay, F-91120, Palaiseau, France

Authors and Affiliations

  1. Department of Computer Science, Chalmers University of Technology, Fack, S-40220, Göteborg 5, Sweden

    C. Johnson & B. Mercier

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  1. C. Johnson
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  2. B. Mercier
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Johnson, C., Mercier, B. Some equilibrium finite element methods for two-dimensional elasticity problems. Numer. Math. 30, 103–116 (1978). https://doi.org/10.1007/BF01403910

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