Volume 19, Issue 5
Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

Fuesheng Luo, Tao Tang & Hehu Xie

Commun. Comput. Phys., 19 (2016), pp. 1542-1563.

Published online: 2018-04

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  • Abstract

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.

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@Article{CiCP-19-1542, author = {}, title = {Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {5}, pages = {1542--1563}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.scpde14.45s}, url = {http://global-sci.org/intro/article_detail/cicp/11142.html} }
TY - JOUR T1 - Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation JO - Communications in Computational Physics VL - 5 SP - 1542 EP - 1563 PY - 2018 DA - 2018/04 SN - 19 DO - http://dor.org/10.4208/cicp.scpde14.45s UR - https://global-sci.org/intro/article_detail/cicp/11142.html KW - 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.

Fuesheng Luo, Tao Tang & Hehu Xie. (2020). Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation. Communications in Computational Physics. 19 (5). 1542-1563. doi:10.4208/cicp.scpde14.45s
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