Energy-stable predictor-corrector schemes for the Cahn-Hilliard equation
Energy-stable predictor-corrector schemes for the Cahn-Hilliard equation
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Cahn-Hilliard 方程的能量稳定预测校正方案
DOI：
10.1016/j.cam.2020.112832
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发表时间：
2020-10
影响因子：
2.4
通讯作者：
Zhao Jia
中科院分区：
文献类型：
--
作者：
Zhang Jun;Jiang Maosheng;Gong Yuezheng;Zhao Jia
In this paper, we construct a new class of predictor–corrector time-stepping schemes for the Cahn–Hilliard equation, which are linear, second-order accurate in time, unconditionally energy stable, and uniquely solvable. Then, we present the stability and error estimates of the semi-discrete numerical schemes for solving the Cahn–Hilliard equation with general nonlinear bulk potentials. The semi-discrete scheme is further discretized using the compact central finite difference method. Several numerical examples are shown to verify the theoretical results. In particular, the numerical simulations show that the predictor–corrector schemes reach the second-order convergence rate at relatively larger time-step sizes than the classical linear schemes. The numerical strategies and theoretical tools developed in this article could be readily applied to study other phase-field models or models that can be cast as gradient flow problems.
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影响因子：
1.1
作者：
Jie Shen;Xiaofeng Yang
通讯作者：
Jie Shen;Xiaofeng Yang
无斜率选择的非线性外延生长模型二阶格式的稳定性和收敛性
影响因子：
2
作者：
Zhonghua Qiao;Zhizhong Sun;Zhengru Zhang
通讯作者：
Zhengru Zhang
影响因子：
2.9
作者：
Li, Yibao;Jeong, Darae;Kim, Junseok
通讯作者：
Kim, Junseok
DOI：
10.1137/110822839
发表时间：
2012
期刊：
SIAM J. Numer. Anal.
影响因子：
--
作者：
Jie Shen;Cheng Wang;Xiaoming Wang;S. Wise
通讯作者：
Jie Shen;Cheng Wang;Xiaoming Wang;S. Wise
影响因子：
4.1
作者：
Badia, Santiago;Guillen-Gonzalez, Francisco;Vicente Gutierrez-Santacreu, Juan
通讯作者：
Vicente Gutierrez-Santacreu, Juan