TY - JOUR
T1 - Fast Algorithm Based on TT-M FE Method for Allen-Cahn Equation
AU - Wang , Danxia
AU - Du , Qingqing
AU - Meng , Lingxiong
AU - Jia , Hongen
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 316
EP - 337
PY - 2020
DA - 2020/04
SN - 10
DO - http://doi.org/10.4208/eajam.260119.220719 
UR - https://global-sci.org/intro/article_detail/eajam/16129.html
KW - Fast algorithm, time two-mesh finite element method, Allen-Cahn equation, stability,
convergence.
AB - <p style="text-align: justify;">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.</p>