Finite element approximation of mass transfer in a porous medium with non equilibrium phase change

E. Maisse, J. Pousin
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引用次数: 6

Abstract

A finite element approximations with an implicit Euler scheme is analyzed. This involves numerical integration of a semi-linear parabolic-differential inclusion arising in a model of reactive mass transport in porous media with a dissolution/precipitation process. The model is composed of parabolic equations and variational inequalities. Equations are coupled by non-linear terms. We prove the existence of solutions for the approximated problem and the convergence of the scheme towards the solution of the continuous Problem
非平衡相变多孔介质传质的有限元近似
分析了隐式欧拉格式下的有限元逼近。这涉及到一个半线性抛物-微分包体的数值积分,该包体出现在一个具有溶解/沉淀过程的多孔介质中反应性质量输运模型中。该模型由抛物方程和变分不等式组成。方程由非线性项耦合。证明了该逼近问题解的存在性和该方案对连续问题解的收敛性
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