Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem

Yuping Zeng, Zhifeng Weng and Fen Liang

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-12

Abstract:

In this paper, we introduce and analyze H(div)-conforming finite element methods for a nonlinear model in poroelasticity. More precisely, the flow variables are discretized by H(div)-conforming mixed finite elements, while the elastic displacement is approximated by the H(div)-conforming finite element with the interior penalty discontinuous Galerkin formulation. Optimal a priori error estimates are derived for both semidiscrete and fully discrete schemes.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9464389

DOI: 10.1155/2020/9464389

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