TY - JOUR
T1 - An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation
AU - Jie Zhou, Long Chen, Yunqing Huang & Wansheng Wang
JO - Communications in Computational Physics
VL - 1
SP - 127
EP - 145
PY - 2018
DA - 2018/04
SN - 17
DO - http://doi.org/10.4208/cicp.231213.100714a
UR - https://global-sci.org/intro/article_detail/cicp/10953.html
KW - 
AB - <p style="text-align: justify;">A two-grid method for solving the Cahn-Hilliard equation is proposed in
this paper. This two-grid method consists of two steps. First, solve the Cahn-Hilliard
equation with an implicit mixed finite element method on a coarse grid. Second, solve
two Poisson equations using multigrid methods on a fine grid. This two-grid method
can also be combined with local mesh refinement to further improve the efficiency. Numerical
results including two and three dimensional cases with linear or quadratic elements
show that this two-grid method can speed up the existing mixed finite method
while keeping the same convergence rate.</p>