Two-grid method for miscible displacement problem with dispersion by finite element method of characteristics

被引：1

作者：

Chen, Yanping ^{[1
]}

Hu, Hanzhang ^{[2
]}

机构：

[1] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Jiaying Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2021年 / 101卷 / 03期

基金：

中国国家自然科学基金;

关键词：

characteristic finite element method; miscible displacement problem; mixed finite element; two-grid method; NONLINEAR SCHRODINGER-EQUATION; GALERKIN METHODS; APPROXIMATION; SCHEME; TIME;

D O I：

10.1002/zamm.201900275

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A combined method consisting of the mixed finite element method for the pressure equation and finite element method with characteristics for the concentration equation is proposed to solve the coupled system of incompressible two-phase flow in porous media. Two-grid algorithm based on the Newton iteration method is developed and analyzed for the nonlinear coupled system. It is shown, both theoretically and numerically, that our schemes are efficient and achieve asymptotically optimal accuracy as long as the mesh sizes satisfyH=O(h1/2).

引用

页数：21

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