| Liquid Crystals possess combined crystallographic and fluid flow properties, which make them interesting for optical devices (e.g., laptop displays, etc.). The complex fluid flow of nematic liquid crystals was mathematically described by Leslie/Ericksen in the late 60's and is a highly nonlinear system of PDE's; its mathematical as well as numerical analysis is of much interest in recent research. In the talk, I will focus on efficient numerical realization by means of splitting computation of velocity, pressure, and director field at each iteration step. We report on convergence analysis, both mathematical and computational. |