Convergence Analysis of Crank-Nicolson Galerkin-Galerkin FEMs for Miscible Displacement in Porous Media

被引：9

作者：

Cai, Wentao ^{[1
]}

Wang, Jilu ^{[2
]}

Wang, Kai ^{[3
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Dept Math, Hangzhou, Zhejiang, Peoples R China

[2] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[3] Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2020年 / 83卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Incompressible miscible flow; Crank-Nicolson; Finite element method; Error estimate; FINITE-ELEMENT-METHOD; COMPOSITIONAL FLOW; ERROR ANALYSIS; APPROXIMATION; EQUATIONS;

D O I：

10.1007/s10915-020-01194-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a fully discrete linearized Crank-Nicolson Galerkin-Galerkin finite element method for solving the partial differential equations which govern incompressible miscible flow in porous media. We prove optimal-order convergence of the fully discrete finite element solutions without any restrictions on the step size of time discretization. Numerical examples are provided to illustrate the theoretical results.

引用

页数：26

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