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• W2073777702 abstract "In this article, we propose a mixed finite element method for the two-dimensional Biot's consolidation model of poroelasticity. The new mixed formulation presented herein uses the total stress tensor and fluid flux as primary unknown variables as well as the displacement and pore pressure. This method is based on coupling two mixed finite element methods for each subproblem: the standard mixed finite element method for the flow subproblem and the Hellinger–Reissner formulation for the mechanical subproblem. Optimal a-priori error estimates are proved for both semidiscrete and fully discrete problems when the Raviart–Thomas space for the flow problem and the Arnold–Winther space for the elasticity problem are used. In particular, optimality in the stress, displacement, and pressure has been proved in when the constrained-specific storage coefficient is strictly positive and in the weaker norm when is nonnegative. We also present some of our numerical results.Copyright © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1189–1210, 2014" @default.
• W2073777702 created "2016-06-24" @default.
• W2073777702 creator A5023663322 @default.
• W2073777702 date "2014-02-20" @default.
• W2073777702 modified "2023-10-02" @default.
• W2073777702 title "Convergence analysis of a new mixed finite element method for Biot's consolidation model" @default.
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• W2073777702 doi "https://doi.org/10.1002/num.21865" @default.
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