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We study the Landau-de Gennes Q-tensor model of liquid crystals subjected toan electric field and develop a fully discrete numerical scheme for itssolution. The scheme uses a convex splitting of the bulk potential, and weintroduce a truncation operator for the Q-tensors to ensure well-posedness ofthe problem. We prove the stability and well-posedness of the scheme. Finally,making a restriction on the admissible parameters of the scheme, we show thatup to a subsequence, solutions to the fully discrete scheme converge to weaksolutions of the Q-tensor model as the time step and mesh are refined. We thenpresent numerical results computed by the numerical scheme, among which, weshow that it is possible to simulate the Fr\'eedericksz transition with thisscheme.

A Convergent Finite Element Scheme for the Q-Tensor Model of Liquid Crystals Subjected to an Electric Field