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Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions

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Abstract

We present nonconforming, rectangular mixed finite element methods based on the Hellinger-Reissner variational principle in both two and three dimensions and show stability and convergence. An optimal error estimate of \(\mathcal{O}(h^2)\) is obtained for the displacement, along with a suboptimal, \(\mathcal{O}(h)\), error estimate for the stress, in both dimensions.

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  1. Department of Mathematics, Purdue University, West Lafayette, USA

    S.-Y. Yi

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  1. S.-Y. Yi
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Yi, SY. Nonconforming mixed finite element methods for linear elasticity using rectangular elements in two and three dimensions. Calcolo 42, 115–133 (2005). https://doi.org/10.1007/s10092-005-0101-5

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  • DOI: https://doi.org/10.1007/s10092-005-0101-5

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