论文标题
混合有限元方法和对流 - 扩散反应模型中多孔介质中的数值分析
Mixed Finite Element Method and numerical analysis of a convection-diffusion-reaction model in a porous medium
论文作者
论文摘要
考虑了用于在含水层中污染传播的水文地质模型。该模型由对流 - 扩散反应方程式组成，涉及分散张量，该分散张量非线性取决于流体速度。我们在模型中引入了显式通量，并使用混合有限元方法进行离散化。我们为离散模型提供存在，独特性和稳定性结果。对于时间问题和完全离散化的半差异，获得了收敛的结果。
A hydrogeological model for the spread of pollution in an aquifer is considered. The model consists in a convection-diffusion-reaction equation involving the dispersion tensor which depends nonlinearly of the fluid velocity. We introduce an explicit flux in the model and use a mixed Finite Element Method for the discretization. We provide existence, uniqueness and stability results for the discrete model. A convergence result is obtained for the semi-discretized in time problem and for the fully discretization.
