Temporal error analysis of an unconditionally energy stable second-order BDF scheme for the square phase-field crystal model

被引：0

作者：

Zhao, Guomei ^{[1
]}

Hu, Shuaifei ^{[2
]}

机构：

[1] Department of Mathematics, Shanghai University, Shanghai,200444, China

[2] Department of Mathematics, Shanghai Normal University, Shanghai,200030, China

来源：

Applied Numerical Mathematics | 2024年 / 202卷

关键词：

36;

D O I：

10.1016/j.apnum.2024.05.009

中图分类号：

学科分类号：

摘要：

引用

页码：222 / 245

共 50 条

[1] A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model
Li, Qi
Mei, Liquan
You, Bo
[J]. APPLIED NUMERICAL MATHEMATICS, 2018, 134 : 46 - 65
[2] A second-order unconditionally energy stable scheme for phase-field based multimaterial topology optimization
Yu, Qian
Li, Yibao
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 405
[3] A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation
Pei, Shuaichao
Hou, Yanren
Li, Qi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 103 : 104 - 126
[4] A second-order linear unconditionally energy-stable scheme for the phase field crystal equation
Li, Yaoda
Li, Min
Zho, Boya
Han, Zhibin
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 455
[5] A linearly second-order energy stable scheme for the phase field crystal model
Pei, Shuaichao
Hou, Yanren
You, Bo
[J]. APPLIED NUMERICAL MATHEMATICS, 2019, 140 : 134 - 164
[6] On a novel full decoupling, linear, second-order accurate, and unconditionally energy stable numerical scheme for the anisotropic phase-field dendritic crystal growth model
Yang, Xiaofeng
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 122 (16) : 4129 - 4153
[7] Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
Yang, Xiaofeng
Han, Daozhi
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 330 : 1116 - 1134
[8] Unconditional energy stability and temporal convergence of first-order numerical scheme for the square phase-field crystal model
Zhao, Guomei
Hu, Shuaifei
Zhu, Peicheng
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 143 : 318 - 326
[9] Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential
Zhang, Jun
Yang, Xiaofeng
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2019, 245
[10] Decoupled, second-order accurate in time and unconditionally energy stable scheme for a hydrodynamically coupled ternary Cahn-Hilliard phase-field model of triblock copolymer melts
Wang, Ziqiang
Zhang, Jun
Yang, Xiaofeng
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 124 : 241 - 257

← 1 2 3 4 5 →