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Semi-implicit Galerkin Finite Element Method for Time-Dependent Nematic Liquid Crystal Flows

Abstract: In this talk, we report a linearized semi-implicit finite element scheme for the nematic liquid crystal flows which are used to describe the time evolution of the materials under the influence of both the flow velocity and the microscopic orientation configurations of rod-like liquid crystal flows. Optimal temporal-spatial error estimates are derived without any restriction of time step by using the error splitting technique. Numerical results are provided to confirm the theoretical analysis.