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

F.A. Radu, I.S. Pop, S. Attinger

    Research output: Contribution to journalArticleAcademicpeer-review

    34 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)320-344
    JournalNumerical Methods for Partial Differential Equations
    Volume26
    Issue number2
    DOIs
    Publication statusPublished - 2010

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