### Abstract

Language | English |
---|---|

Pages | 479-487 |

Number of pages | 8 |

Journal | Liquid Crystals |

Volume | 34 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 |

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### Keywords

- chemistry
- applied mathematics
- liquid crystals

### Cite this

*Liquid Crystals*,

*34*(4), 479-487. https://doi.org/10.1080/02678290701267571

}

*Liquid Crystals*, vol. 34, no. 4, pp. 479-487. https://doi.org/10.1080/02678290701267571

**Adaptive solution of a one-dimensional order reconstruction problem in Q-tensor theory of liquid crystals.** / Ramage, A.; Newton, C.J.P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Adaptive solution of a one-dimensional order reconstruction problem in Q-tensor theory of liquid crystals

AU - Ramage, A.

AU - Newton, C.J.P.

PY - 2007

Y1 - 2007

N2 - In this paper we illustrate the suitability of an adaptive moving mesh method for modelling a one-dimensional liquid crystal cell using Q-tensor theory. Specifically, we consider a time-dependent problem in a Pi-cell geometry which admits two topologically different equilibrium states and model the order reconstruction which occurs on the application of an electric field. An adaptive finite element grid is used where the grid points are moved according to equidistribution of a monitor function based on a specific property of the Q-tensor. We show that such moving meshes provide the same level of accuracy as uniform grids but using far fewer points, and that inaccurate results can be obtained if uniform grids are not sufficiently refined.

AB - In this paper we illustrate the suitability of an adaptive moving mesh method for modelling a one-dimensional liquid crystal cell using Q-tensor theory. Specifically, we consider a time-dependent problem in a Pi-cell geometry which admits two topologically different equilibrium states and model the order reconstruction which occurs on the application of an electric field. An adaptive finite element grid is used where the grid points are moved according to equidistribution of a monitor function based on a specific property of the Q-tensor. We show that such moving meshes provide the same level of accuracy as uniform grids but using far fewer points, and that inaccurate results can be obtained if uniform grids are not sufficiently refined.

KW - chemistry

KW - applied mathematics

KW - liquid crystals

UR - http://dx.doi.org/10.1080/02678290701267571

U2 - 10.1080/02678290701267571

DO - 10.1080/02678290701267571

M3 - Article

VL - 34

SP - 479

EP - 487

JO - Liquid Crystals

T2 - Liquid Crystals

JF - Liquid Crystals

SN - 0267-8292

IS - 4

ER -