Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media

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

Research output: Contribution to journalArticleAcademicpeer-review

15 Citations (Scopus)

Abstract

In this paper we discuss the numerical analysis of an upscaled (core scale) model describing the transport, precipitation and dissolution of solutes in a porous medium. The particularity lies in the modeling of the reaction term, especially the dissolution term, which has a multivalued character. We consider the weak formulation for the upscaled equation and provide rigorous stability and convergence results for both the semi-discrete (time discretization) and the fully discrete schemes. In doing so, compactness arguments are employed.
Original languageEnglish
Pages (from-to)715-749
Number of pages35
JournalNumerische Mathematik
Volume127
Issue number4
DOIs
Publication statusPublished - 2014

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