向列相液晶流的模块grad-div稳定化有限元方法

李婷,黄鹏展

A Modular grad-div Stabilized Finite Element Method for Nematic Liquid Crystal Flow

Ting Li,Pengzhan Huang

表 1 △t = h时T = 0.1处的数值误差和收敛阶

h $\|\nabla\cdot({\bf u}(t_m)-{\bf u}_h^m)\|_{0} $ 收敛阶 $\|\nabla({\bf u}(t_m)- {\bf u}_h^m)\|_{0}$ 收敛阶 1/20 0.0254707 0.0301272 1/30 0.0171152 0.9805080 0.0207659 0.9177351 1/40 0.0129294 0.9749067 0.0135101 1.4942699