Numerical simulations of three dimensional liquid crystal cells

Director fields and electrostatic potential functions for three dimensional liquid crystal cells have been calculated numerically by solving the discr etized Frank-Oseen equations for a nematic liquid crystal with a fast nonli near multigrid algorithm on an adaptive grid. All elastic constants, includ ing the k(24) term and an anchoring coefficient at the surfaces, were taken into account. Two configurations with different boundary conditions were i nvestigated: multidomain cells and hybrid aligned films.