A finite element method for the generalized Ericksen model of nematic liquid crystals

@article{Walker2020AFE,
  title={A finite element method for the generalized Ericksen model of nematic liquid crystals},
  author={Shawn W. Walker},
  journal={Mathematical Modelling and Numerical Analysis},
  year={2020},
  volume={54},
  pages={1181-1220}
}
  • S. Walker
  • Published 1 July 2020
  • Mathematics
  • Mathematical Modelling and Numerical Analysis
We consider the generalized Ericksen model of liquid crystals, which is an energy with 8 independent “elastic”constants that depends on two order parameters n (director) and s (variable degree of orientation). In addition, we present a new finite element discretization for this energy, that can handle the degenerate elliptic part without regularization, with the following properties: it is stable and it Γ-converges to the continuous energy. Moreover, it does not require the mesh to be weakly… 
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