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Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow |
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| Authors: | Vadym Aizinger Andreas Rupp Jochen Schütz Peter Knabner |
| Affiliation: | 1.Chair of Applied Mathematics 1,University of Erlangen-Nürnberg,Erlangen,Germany;2.Faculty of Sciences,Hasselt University,Diepenbeek,Belgium;3.Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Computing Center,Bremerhaven,Germany |
| 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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