4 papers
The Zero Inertia Limit for the Q-Tensor Model of Liquid Crystals: Analysis and Numerics
Max Hirsch, Franziska Weber, Yukun Yue
The goal of this work is to rigorously study the zero inertia limit for the Q-tensor model of liquid crystals. Though present in the original derivation of the Ericksen-Leslie equa…
Two novel numerical methods for gradient flows: generalizations of the Invariant Energy Quadratization method
Yukun Yue
In this paper, we conduct an in-depth investigation of the structural intricacies inherent to the Invariant Energy Quadratization (IEQ) method as applied to gradient flows, and we…
On the Convergence of an IEQ-based first-order Numerical Scheme for the Beris-Edwards System
Franziska Weber, Yukun Yue
We present a convergence analysis of an unconditionally energy-stable first-order semi-discrete numerical scheme designed for a hydrodynamic Q-tensor model, the so-called Beris-Edw…
Convergence analysis of a fully discrete energy-stable numerical scheme for the Q-tensor flow of liquid crystals
Varun M. Gudibanda, Franziska Weber, Yukun Yue
We present a fully discrete convergent finite difference scheme for the Q-tensor flow of liquid crystals based on the energy-stable semi-discrete scheme by Zhao, Yang, Gong, and Wa…