A multipoint flux mixed finite element method with mass-conservative characteristic finite element method for incompressible miscible displacement problem

被引：2

作者：

Li, Xindong ^{[1
]}

Du, Mingyang ^{[1
]}

Xu, Wenwen ^{[1
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2023年 / 93卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Multipoint flux mixed finite element; Characteristic finite element; Mass conservation; Miscible displacement; Error estimates; GALERKIN METHODS; POROUS-MEDIA; APPROXIMATION;

D O I：

10.1007/s11075-022-01489-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 L-2 error estimates of full discrete scheme are obtained. Numerical experiments are also presented to verify the correctness of the theoretical analysis.

引用

页码：1795 / 1810

页数：16

共 21 条

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