Computational Geosciences

, Volume 22, Issue 1, pp 179–194 | Cite as

Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow

  • Vadym Aizinger
  • Andreas Rupp
  • Jochen Schütz
  • Peter Knabner
Original Paper


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.


Mixed discontinuous Galerkin method Local discontinuous Galerkin method Instationary Darcy problem Stability and error analysis 


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Chair of Applied Mathematics 1University of Erlangen-NürnbergErlangenGermany
  2. 2.Faculty of SciencesHasselt UniversityDiepenbeekBelgium
  3. 3.Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Computing CenterBremerhavenGermany

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