An operator-splitting method for a liquid crystal model

R. Glowinski; P. Lin; X.-B. Pan

doi:10.1016/S0010-4655(02)00823-8

An operator-splitting method for a liquid crystal model

R. Glowinski, P. Lin, X.-B. Pan

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

In this paper an operator-splitting method is applied to find the micro-structure of a liquid crystal model with a simplified Oseen–Frank energy functional. Both projection and penalty methods are used to deal with the constant length constraint. The methods are implemented to compute director fields of liquid crystal slabs of various shapes and with various boundary data. The computational results verify researcher expectations. Some new singularity patterns are observed as well.

Original language	English
Pages (from-to)	242-252
Number of pages	11
Journal	Computer Physics Communications
Volume	152
Issue number	3
DOIs	https://doi.org/10.1016/S0010-4655(02)00823-8
Publication status	Published - May 2003

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10.1016/S0010-4655(02)00823-8

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title = "An operator-splitting method for a liquid crystal model",

abstract = "In this paper an operator-splitting method is applied to find the micro-structure of a liquid crystal model with a simplified Oseen–Frank energy functional. Both projection and penalty methods are used to deal with the constant length constraint. The methods are implemented to compute director fields of liquid crystal slabs of various shapes and with various boundary data. The computational results verify researcher expectations. Some new singularity patterns are observed as well.",

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AB - In this paper an operator-splitting method is applied to find the micro-structure of a liquid crystal model with a simplified Oseen–Frank energy functional. Both projection and penalty methods are used to deal with the constant length constraint. The methods are implemented to compute director fields of liquid crystal slabs of various shapes and with various boundary data. The computational results verify researcher expectations. Some new singularity patterns are observed as well.

U2 - 10.1016/S0010-4655(02)00823-8

DO - 10.1016/S0010-4655(02)00823-8

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VL - 152

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EP - 252

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 3

ER -

An operator-splitting method for a liquid crystal model

Abstract

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