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Error estimates for an Euler implicit-mixed finite element scheme for reactive transport in saturated/unsaturated soil
Authors:Florin A Radu  Iuliu S Pop  Sabine Attinger  Peter Knabner
Institution:1. Helmholtz Center for Environmental Research – UFZ, Permoserstr. 15, D-04318 Leipzig, Germany;2. Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;3. Helmholtz Center for Environmental Research – UFZ, Permoserstr. 15, D-04318 Leipzig, Germany

University of Jena, Wöllnitzerstr. 7, D-07749, Jena, Germany;4. Institute of Applied Mathematics, University Erlangen-Nürnberg, Martensstr. 3, D-91058 Erlangen, Germany

Abstract:We present convergence results for a fully discrete scheme based on the mixed finite element (MFE) method and an one-step Euler implicit (EI) method for simulating reactive solute transport in saturated/unsaturated soil. The results considered the low regularity of the solution of the degenerate parabolic equation describing the water flow in porous media. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:
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