- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Second order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
- 发布时间：2025-04-30
- 论文名称：Second order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
- 发表刊物：Applied Numerical Mathematics
- 摘要：In this paper, we develop a novel second order in time, decoupled, energy stable finite element scheme for simulation of Cahn-Hilliard-Hele-Shaw system. The idea of scalar auxiliary variable approach is introduced to handle the nonlinear bulk. An operator-splitting strategy is utilized to fully decouple the coupled Cahn-Hilliard equation and Darcy equation. A fully discretization is built in the framework of Galerkin finite element method. The unique solvability of numerical solution and preservation of energy law are rigorously established. Numerical experiences are recorded to illustrate the features of the designed numerical method, verify the theoretical results and conduct realistic applications.
- 合写作者：Yali Gao, Rui Li, Liquan Mei
- 卷号：157
- 页面范围：338-355
- 是否译文：否
- 发表时间：2020-07-01
- 合写作者：Yali Gao, Rui Li, Liquan Mei