Efficient linear schemes with unconditional energy stability for the phase field model of solid-state dewetting problems
Type
ArticleKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1351-01-01Date
2020-06Online Publication Date
2020-06Print Publication Date
2020-06Submitted Date
2018-04-11Permanent link to this record
http://hdl.handle.net/10754/664447
Metadata
Show full item recordAbstract
In this paper, we study linearly first and second order in time, uniquely solvable and unconditionally energy stable numerical schemes to approximate the phase field model of solid-state dewetting problems based on the novel “scalar auxiliary variable” (SAV) approach, a new developed efficient and accurate method for a large class of gradient flows. The schemes are based on the first order Euler method and the second order backward differential formulas (BDF2) for time discretization, and finite element methods for space discretization. The proposed schemes are proved to be unconditionally stable and the discrete equations are uniquely solvable for all time steps. Various numerical experiments are presented to validate the stability and accuracy of the proposed schemes.Citation
sci, J. C. (2020). Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems. Journal of Computational Mathematics, 38(3), 452–468. doi:10.4208/jcm.1812-m2018-0058Sponsors
The work is supported by the National Natural Science Foundation of China (No.11401467), China Postdoctoral Science Foundation (No. 2013M542334. and No. 2015T81012), and Natural Science Foundation of Shaanxi Province (No. 2015JQ1012). The work is also supported in part by funding from King Abdullah University of Science and Technology (KAUST) through the grant BAS/1/1351-01-01.Publisher
Global Science PressAdditional Links
http://global-sci.org/intro/article_detail/jcm/15795.htmlae974a485f413a2113503eed53cd6c53
10.4208/JCM.1812-M2018-0058