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
Country/TerritoryUnited Kingdom
CityLeicester
Period5/09/119/09/11

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