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洞察 - Liquid Crystal Simulation
A Convergent Numerical Scheme for Simulating Liquid Crystals in Electric Fields: Analysis and Truncation for Well-Posedness
This paper introduces and analyzes a novel numerical scheme for simulating the behavior of liquid crystals under the influence of an electric field using the Landau-de Gennes Q-tensor model, addressing the challenge of potential ill-posedness through a truncation strategy.
The Zero Inertia Limit for the Q-Tensor Model of Liquid Crystals: Analysis, Numerics, and Convergence Rates
This paper studies the behavior of the Q-tensor model for liquid crystals as the inertial term approaches zero, proving convergence rates and developing a stable and convergent finite element scheme for numerical analysis.
