# 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} }

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…

## 8 Citations

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