Journal of Scientific Computing

, Volume 77, Issue 3, pp 1762–1779 | Cite as

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

  • Guido Kanschat
  • Beatrice Riviere


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.


Biot system Mixed method Discontinuous Galerkin Error estimates 



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


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Interdisciplinary Center for Scientific Computing (IWR)Heidelberg UniversityHeidelbergGermany
  2. 2.Department of Computational and Applied MathematicsRice UniversityHoustonUSA

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