Adaptive Grid Methods forQ-Tensor Theory of Liquid Crystals: A One-Dimensional Feasibility Study

Autor:	Christopher Newton, Alison Ramage
Rok vydání:	2008
Předmět:	Partial differential equation business.industry Computer science General Chemistry Condensed Matter Physics Grid Optics QA273 Liquid crystal Simple (abstract algebra) Applied mathematics General Materials Science QA business Tensor theory
Zdroj:	Molecular Crystals and Liquid Crystals. 480:160-181
ISSN:	1563-5287 1542-1406
DOI:	10.1080/15421400701826225
Popis:	This article 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4dcdd7bb7f3495f3b9fe5bc95a25217c https://doi.org/10.1080/15421400701826225 Zobrazit plný text záznamu