Numerical analysis for an upscaled model for dissolution and precipitation in porous media (Chapter 9)

K. Kumar, I.S. Pop, F.A. Radu

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    Abstract

    In this paper, we discuss some numerical schemes for an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. We consider two weak formulations, conformal and mixed. We discuss the time discretization in both formulations and prove the convergence of the resulting schemes. A numerical study is presented for the mixed formulation.
    Original languageEnglish
    Title of host publicationNumerical Mathematics and Advanced Applications 2011 (Proceedings of ENUMATH 2011, Leicester, UK, September 5-9, 2011)
    EditorsA. Cangiani, R.L. Davidchack, E. Georgoulis, A.N. Gorban, J. Levesley, M.V. Tretyakov
    Place of PublicationBerlin
    PublisherSpringer
    Pages703-711
    ISBN (Print)978-3-642-33133-6
    DOIs
    Publication statusPublished - 2011
    EventEuropean Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2011 - University of Leicester, Leicester, United Kingdom
    Duration: 5 Sep 20119 Sep 2011
    Conference number: 9

    Conference

    ConferenceEuropean Conference on Numerical Mathematics and Advanced Applications
    Abbreviated titleENUMATH 2011
    CountryUnited Kingdom
    CityLeicester
    Period5/09/119/09/11

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