Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media
نویسندگان
چکیده
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 amultivalued character.We consider theweak 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. Mathematics Subject Classification 35A35 · 65L60 · 65J20
منابع مشابه
Numerical Analysis for an Upscaled Model for Dissolution and Precipitation in Porous Media
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عنوان ژورنال:
- Numerische Mathematik
دوره 127 شماره
صفحات -
تاریخ انتشار 2014