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Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow

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Abstract

We present an a priori stability and convergence analysis of a new mixed discontinuous Galerkin scheme applied to the instationary Darcy problem. The analysis accounts for a spatially and temporally varying permeability tensor in all estimates. The proposed method is stabilized using penalty terms in the primary and the flux unknowns.

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Authors and Affiliations

  1. Chair of Applied Mathematics 1, University of Erlangen-Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany

    Vadym Aizinger, Andreas Rupp & Peter Knabner

  2. Faculty of Sciences, Hasselt University, Campus Diepenbeek, Agoralaan Gebouw D, 3590, Diepenbeek, Belgium

    Jochen Schütz

  3. Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Computing Center, Am Handelshafen 12, 27570, Bremerhaven, Germany

    Vadym Aizinger

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  1. Vadym Aizinger
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  4. Peter Knabner
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Correspondence to Vadym Aizinger.

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Aizinger, V., Rupp, A., Schütz, J. et al. Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow. Comput Geosci 22, 179–194 (2018). https://doi.org/10.1007/s10596-017-9682-8

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  • DOI: https://doi.org/10.1007/s10596-017-9682-8

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