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

作　　者：龚欢 GONG Huan(College of Mathematics,Physics and Electronic Information Engineering,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理与电子信息工程学院

出　　处：《温州大学学报（自然科学版）》2019年第4期6-13,共8页Journal of Wenzhou University(Natural Science Edition)

摘　　要：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.

关 键 词：向列型液晶流 加罚方法 一阶线性化时间半离散格式 

分 类 号：O242[理学—计算数学]