Abstract
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.
Original language | English |
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Pages (from-to) | 160-181 |
Number of pages | 22 |
Journal | Molecular Crystals and Liquid Crystals |
Volume | 480 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2008 |
Keywords
- nematic liquid crystals
- order reconstruction
- adaptive grids
- moving meshes
- statistics