A decoupled finite element method for a modified Cahn-Hilliard-Hele-Shaw system

被引：0

作者：

Zhang, Haifeng ^{[1
]}

Wang, Danxia ^{[1
]}

Wang, Zhili ^{[1
]}

Jia, Hongen ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 08期

关键词：

decoupled; modified Cahn-Hilliard-Hele-Shaw system; double well potential; convex splitting; STABLE NUMERICAL SCHEME; NONUNIFORM SYSTEM; TUMOR-GROWTH; FREE-ENERGY; DISCONTINUOUS GALERKIN; MODELING PINCHOFF; CONVERGENCE; RECONNECTION; SIMULATION; EQUATION;

D O I：

10.3934/math.2021505

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a decoupled finite element method for a modified Cahn-Hilliard-Hele-Shaw system with double well potential is constructed. The proposed scheme is based on the convex splitting of the energy functional in time and uses the mixed finite element discretzation in space. The computation of the velocity u is separated from the computation of the pressure p by using an operator splitting strategy. A Possion equation is solved to update the pressure at each time step. Unconditional stability and error estimates are analyzed in detail theoretically. Furthermore, the theoretical part is verified by several numerical examples, whose results show that the numerical examples are consistent with the results of the theoretical part.

引用

页码：8681 / 8704

页数：24

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