Abstract
In this paper we analyze a numerical scheme for a dissolution and precipitation model in porous media. We focus here on the chemistry, which is modeled by a parabolic problem that is coupled through the boundary conditions to an ordinary differential inclusion defined on the boundary. We use a regularization approach for constructing a semi-implicit scheme that is stable and convergent. For dealing with the emerging time discrete nonlinear problems, we propose a simple fixed-point iterative procedure. The paper is concluded by numerical results.
Original language | English |
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Pages (from-to) | 895-919 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 46 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2008 |