TY - JOUR
T1 - Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
AU - Luo, Fuesheng
AU - Tang, Tao
AU - Xie, Hehu
N1 - Funding information:
The work of the first author was supported in part by the National Science Foundation of China through NSFC 11401129. The second author gratefully acknowledge the financial support by the Hong Kong Research Grants Council CERG grants and Hong Kong Baptist University FRG grants. The work of the third author was supported in part by he National Science Foundation of China through NSFC 11371026, 91330202, 11001259, 11031006, 2011CB309703, the National Center for Mathematics and Interdisciplinary Science and the President Foundation of AMSS-CAS.
Publisher copyright:
© Global-Science Press 2016
PY - 2016/5
Y1 - 2016/5
N2 - It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy variation as an indicator to update the time step, so that the resulting algorithm is free of user-defined parameters, which is different from several existing approaches. Some numerical experiments are presented to illustrate the effectiveness of the algorithms.
AB - It is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy variation as an indicator to update the time step, so that the resulting algorithm is free of user-defined parameters, which is different from several existing approaches. Some numerical experiments are presented to illustrate the effectiveness of the algorithms.
KW - Adaptive time-stepping method
KW - Cahn-Hilliard equation
KW - convex splitting method
KW - Crank-Nicolson scheme
UR - https://www.global-sci.com/intro/article_detail/cicp/11142.html
UR - http://www.scopus.com/inward/record.url?scp=84969217962&partnerID=8YFLogxK
U2 - 10.4208/cicp.scpde14.45s
DO - 10.4208/cicp.scpde14.45s
M3 - Journal article
AN - SCOPUS:84969217962
SN - 1815-2406
VL - 19
SP - 1542
EP - 1563
JO - Communications in Computational Physics
JF - Communications in Computational Physics
IS - 5
ER -