TY - JOUR
T1 - Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation
AU - Fuesheng Luo, Tao Tang & Hehu Xie
JO - Communications in Computational Physics
VL - 5
SP - 1542
EP - 1563
PY - 2018
DA - 2018/04
SN - 19
DO - http://doi.org/10.4208/cicp.scpde14.45s
UR - https://global-sci.org/intro/article_detail/cicp/11142.html
KW - 
AB - <p style="text-align: justify;">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.</p>