@Article{EAJAM-10-316, author = {Wang , DanxiaDu , QingqingMeng , Lingxiong and Jia , Hongen}, title = {Fast Algorithm Based on TT-M FE Method for Allen-Cahn Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {2}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.260119.220719 }, url = {http://global-sci.org/intro/article_detail/eajam/16129.html} }