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A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model

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Abstract

An H(div) conforming finite element method for solving the linear Biot equations is analyzed. Formulations for the standard mixed method are combined with formulation of interior penalty discontinuous Galerkin method to obtain a consistent scheme. Optimal convergence rates are obtained.

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Acknowledgements

Computations in this article were produced using the deal.II library [3].

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Authors and Affiliations

  1. Interdisciplinary Center for Scientific Computing (IWR), Heidelberg University, Heidelberg, Germany

    Guido Kanschat

  2. Department of Computational and Applied Mathematics, Rice University, Houston, TX, 77005, USA

    Beatrice Riviere

Authors
  1. Guido Kanschat
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  2. Beatrice Riviere
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Correspondence to Beatrice Riviere.

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Kanschat, G., Riviere, B. A Finite Element Method with Strong Mass Conservation for Biot’s Linear Consolidation Model. J Sci Comput 77, 1762–1779 (2018). https://doi.org/10.1007/s10915-018-0843-2

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  • DOI: https://doi.org/10.1007/s10915-018-0843-2

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