A mesh adaptivity scheme on the Landau–de Gennes functional minimization case in 3D, and its driving efficiency - Sorbonne Université Access content directly
Journal Articles Journal of Computational Physics Year : 2016

A mesh adaptivity scheme on the Landau–de Gennes functional minimization case in 3D, and its driving efficiency

Abstract

This paper presents a 3D mesh adaptivity strategy on unstructured tetrahedral meshes by a posteriori error estimates based on metrics derived from the Hessian of a solution. The study is made on the case of a nonlinear finite element minimization scheme for the Landau–de Gennes free energy functional of nematic liquid crystals. Newton's iteration for tensor fields is employed with steepest descent method possibly stepping in.

Dates and versions

hal-01360423 , version 1 (05-09-2016)

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Iztok Bajc, Frédéric Hecht, Slobodan Žumer. A mesh adaptivity scheme on the Landau–de Gennes functional minimization case in 3D, and its driving efficiency. Journal of Computational Physics, 2016, 321, pp.981-996. ⟨10.1016/j.jcp.2016.02.072⟩. ⟨hal-01360423⟩
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