An energy-minimization finite-element approach for the Frank-Oseen model of nematic liquid crystals.

Adler, James H.

Atherton, Timothy J.

Emerson, David B.

MacLachlan, Scott P.


  • This paper outlines an energy-minimization finite-element approach to the computational modeling of equilibrium configurations for nematic liquid crystals under free elastic effects. The method targets minimization of the system free energy based on the Frank--Oseen free-energy model. Solutions to the intermediate discretized free elastic linearizations are shown to exist generally and are unique ... read more
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