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A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry

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Abstract

We give a unified error analysis of several mixed methods for linear elasticity which impose stress symmetry weakly. We consider methods where the rotations are approximated by discontinuous polynomials. The methods we consider are such that the approximate stress spaces contain standard mixed finite element spaces for the Laplace equation and also contain divergence free spaces that use bubble functions.

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Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    J. Guzmán

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  1. J. Guzmán
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Correspondence to J. Guzmán.

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This work was supported by the National Science Foundation (grant DMS-0914596),

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Guzmán, J. A Unified Analysis of Several Mixed Methods for Elasticity with Weak Stress Symmetry. J Sci Comput 44, 156–169 (2010). https://doi.org/10.1007/s10915-010-9373-2

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  • DOI: https://doi.org/10.1007/s10915-010-9373-2

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