### Abstract

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

Pages | 160-181 |

Number of pages | 22 |

Journal | Molecular Crystals and Liquid Crystals |

Volume | 480 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2008 |

### Fingerprint

### Keywords

- nematic liquid crystals
- order reconstruction
- adaptive grids
- moving meshes
- statistics

### Cite this

*Molecular Crystals and Liquid Crystals*,

*480*(1), 160-181. https://doi.org/10.1080/15421400701826225

}

*Molecular Crystals and Liquid Crystals*, vol. 480, no. 1, pp. 160-181. https://doi.org/10.1080/15421400701826225

**Adaptive grid methods for Q-tensor theory of liquid crystals : a one-dimensional feasibility study.** / Ramage, A.; Newton, C.J.P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Adaptive grid methods for Q-tensor theory of liquid crystals

T2 - Molecular Crystals and Liquid Crystals

AU - Ramage, A.

AU - Newton, C.J.P.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples.

AB - This paper illustrates the use of moving mesh methods for solving partial differential equation (PDE) problems in Q-tensor theory of liquid crystals. We present the results of an initial study using a simple one-dimensional test problem which illustrates the feasibility of applying adaptive grid techniques in such situations. We describe how the grids are computed using an equidistribution principle, and investigate the comparative accuracy of adaptive and uniform grid strategies, both theoretically and via numerical examples.

KW - nematic liquid crystals

KW - order reconstruction

KW - adaptive grids

KW - moving meshes

KW - statistics

U2 - 10.1080/15421400701826225

DO - 10.1080/15421400701826225

M3 - Article

VL - 480

SP - 160

EP - 181

JO - Molecular Crystals and Liquid Crystals

JF - Molecular Crystals and Liquid Crystals

SN - 1542-1406

IS - 1

ER -