Constrained Optimization for Liquid Crystal Equilibria.

Adler, James H.

Emerson, David B.

MacLachlan, Scott P.

Manteuffel, Thomas Albert, 1948-


  • This paper compares the performance of penalty and Lagrange multiplier approaches for the necessary unit-length constraint in the computation of liquid crystal equilibrium configurations. Building on previous work in [SIAM J. Sci. Comput., 37 (2015), pp. S157--S176; SIAM J. Numer. Anal., 53 (2015), pp. 2226--2254], the penalty method is derived and well-posedness of the linearizations within the ... read more
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  • J. H. Adler, D. B. Emerson, S. P. MacLachlan, and T. A. Manteuffel. Constrained Optimization for Liquid Crystal Equilibria. SIAM J. Sci. Comput. (SISC), 38(1):B50-B76, 2016. DOI:10.1137/141001846.
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