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A two-level method for the Allen-Cahn equation
LIU Qingfang * #
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049
*Correspondence author
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Funding: NSFC （No.11401466）, Ph.D Programs Foundation （No.20130201120052）
Opened online:24 April 2017
Accepted by: none
Citation: LIU Qingfang.A two-level method for the Allen-Cahn equation[OL]. [24 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725276
 
 
We consider the fully implicit treatment for the nonlinear term ofthe Allen-Cahn equation. To solve the nonlinear problem efficiently,the two-level scheme is employed. We obtain the discrete energy lawof the fully implicit scheme and two-level scheme with finiteelement method. Also the convergence of the two-level method ispresented. Finally, some numerical experiments are provided toconfirm the theoretical analysis.
Keywords:finite element method; two-level method; Allen-Cahn equation;stability and convergence；numerical tests
 
 
 

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