In this paper, we consider a decoupled and mass-conservative numerical scheme for the incompressible miscible displacement problem in porous media by employing multipoint flux mixed finite element method for velocity-pressure equation and mass-conservation characteristic finite element method for concentration equation. This feature is designed to avoid handling saddle-point system and keep mass globally. Convergence and L² error estimates of full discrete scheme are obtained. Numerical experiments are also presented to verify the correctness of the theoretical analysis.

中文翻译：

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不可压缩混相位移问题的质量守恒特征有限元多点混合有限元法

在本文中，我们通过对速度-压力方程采用多点通量混合有限元法和对浓度方程采用质量守恒特性有限元法，考虑了多孔介质中不可压缩混相位移问题的解耦和质量守恒数值格式。此功能旨在避免处理鞍点系统并在全局范围内保持质量。得到了全离散方案的收敛性和L ^{2误差估计。}还给出了数值实验来验证理论分析的正确性。