- 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
Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction
- 发布时间：2025-04-30
- 论文名称：Efficient second-order unconditionally stable numerical schemes for the modified phase field crystal model with long-range interaction
- 发表刊物：Journal of Computational and Applied Mathematics
- 摘要：In this paper, we consider numerical approximations for the modified phase field crystal model with long-range interaction, which describes the micro-phase separation in diblock copolymers. The model is a nonlinear damped wave equation with a nonlocal term that includes both diffusive dynamics and elastic interaction. To develop easy-toimplement time-stepping schemes with unconditional energy stabilities, we employ the scalar auxiliary variable (SAV) approach to achieve two highly efficient and linear numerical schemes based on the second-order Crank–Nicolson and backward differentiation formula. These schemes lead to decoupled linear equations with constant coefficients at each time step and their unconditional energy stabilities are proved rigorously. The stabilization technique is adopted to further improve the stability of the numerical schemes. Various 2D and 3D numerical experiments are performed to demonstrate the accuracy, stability, and efficiency.
https://doi.org/10.1016/j.cam.2020.113335 - 合写作者：Qi Li, Liquan Mei, Yibao Li
- 卷号：389(2021)
- 页面范围：113335
- 是否译文：否
- 发表时间：2021-01-01
- 合写作者：Qi Li, Liquan Mei, Yibao Li
上一条：Efficient, decoupled, and second-order unconditionally energy stable numerical schemes for the coupled Cahn--Hilliard system in copolymer/homopolymer mixtures
下一条：Numerical and scale analysis of non-Newtonian fluid (Eyring-Powell) through pseudo-spectral collocation method (PSCM) towards a magnetized stretchable Riga surface