基于加罚方法的向列型液晶流问题的一阶时间半离散格式

The First-order Time Semi-discrete Scheme for Nematic Liquid Crystal Flow Problems Based on Penalty Method

基于一种新的加罚方法,构造了求解向列型液晶流问题的一阶线性化时间半离散格式.通过选取适当的加罚参数和时间步长之间的关系,证明了该算法具有一阶的时间收敛阶.

A first-order linearized time semi-discrete scheme for solving nematic liquid crystal flow problem based on a new penalty method is constructed in this paper. By selecting the appropriate relationship between the penalty parameters and the time step, the algorithm is proved to have a first-order time degree of convergence.