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

Iztok Bajc 1, * Frédéric Hecht 2, 3 Slobodan Žumer 4, 1
* Corresponding author
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions, Inria de Paris
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.
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https://hal.sorbonne-universite.fr/hal-01360423
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Submitted on : Monday, September 5, 2016 - 5:09:01 PM
Last modification on : Friday, March 27, 2020 - 3:12:57 AM

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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, Elsevier, 2016, 321, pp.981-996. ⟨10.1016/j.jcp.2016.02.072⟩. ⟨hal-01360423⟩

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