LARGE TIME-STEPPING METHOD BASED ON THE FINITE ELEMENT DISCRETIZATION FOR THE CAHN-HILLIARD EQUATION
LARGE TIME-STEPPING METHOD BASED ON THE FINITE ELEMENT DISCRETIZATION FOR THE CAHN-HILLIARD EQUATION
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DOI：
10.14317/jami.2011.29.5_6.1129
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发表时间：
2011
影响因子：
0.3
通讯作者：
Yanfang Yang;Xinlong Feng;Yinnian He
中科院分区：
文献类型：
--
作者：
Yanfang Yang;Xinlong Feng;Yinnian He
本文对Cahn-Hilliard方程在Neumann边界条件下的问题提出了一类基于有限元离散的大时间步长方法。方程在空间上采用有限元法离散，在时间上采用半隐式格式离散。对于一阶全离散格式，通过有限元分析研究了其收敛性。数值实验表明了大时间步长方法的有效性。
In this paper, a class of large time-stepping method based on the finite element discretization for the Cahn-Hilliard equation with the Neumann boundary conditions is developed. The equation is discretized by finite element method in space and semi-implicit schemes in time. For the first order fully discrete scheme, convergence property is investigated by using finite element analysis. Numerical experiment is presented, which demonstrates the effectiveness of the large time-stepping approaches.