梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
Second order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Second order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system
- Journal:Applied Numerical Mathematics
- Summary: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.
- Co-author:Yali Gao, Rui Li, Liquan Mei
- Volume:157
- Page Number:338-355
- Translation or Not:No
- Date of Publication:2020-07-01