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

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  • Yuping Zeng
  • Zhifeng Weng
  • Fen Liang

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.

Suggested Citation

  • Yuping Zeng & Zhifeng Weng & Fen Liang, 2020. "Convergence Analysis of H(div)-Conforming Finite Element Methods for a Nonlinear Poroelasticity Problem," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, September.
    • Handle: RePEc:hin:jnddns:9464389
    DOI: 10.1155/2020/9464389
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