Analysis of an Euler implicit-mixed finite element scheme for reactive solute transport in porous media

Authors

  • Florin A. Radu,

    Corresponding author
    1. UFZ-Helmholtz Center for Environmental Research, Permoserstr. 15, Leipzig D-04318, Germany
    2. University of Jena, Wöllnitzerstr. 7, Jena D-07749, Germany
    • UFZ-Helmholtz Center for Environmental Research, Permoserstr. 15, Leipzig D-04318, Germany
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  • Iuliu Sorin Pop,

    1. Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven 5600 MB, The Netherlands
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  • Sabine Attinger

    1. UFZ-Helmholtz Center for Environmental Research, Permoserstr. 15, Leipzig D-04318, Germany
    2. University of Jena, Wöllnitzerstr. 7, Jena D-07749, Germany
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Abstract

In this article, we analyze an Euler implicit-mixed finite element scheme for a porous media solute transport model. The transporting flux is not assumed given, but obtained by solving numerically the Richards equation, a model for subsurface fluid flow. We prove the convergence of the scheme by estimating the error in terms of the discretization parameters. In doing so we take into account the numerical error occurring in the approximation of the fluid flow. The article, is concluded by numerical experiments, which are in good agreement with the theoretical estimates. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010

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