Year: 2020
Author: Danxia Wang, Qingqing Du, Lingxiong Meng, Hongen Jia
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 316–337
Abstract
A fast time two-mesh finite element algorithm using coarse and fine meshes is applied to the nonlinear Allen-Cahn equation. The stability and convergence of the method are studied and detailed error estimates are provided. Numerical examples confirm the theoretical results. Traditional Galerkin finite element and time two-mesh finite element methods are compared with respect to CPU time, accuracy and coarsening processing. Numerical experiments show the efficiency and effectiveness of the fast algorithm proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.260119.220719
East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 2 : pp. 316–337
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Fast algorithm time two-mesh finite element method Allen-Cahn equation stability convergence.