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.
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.