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A method for computing curved 2D and 3D meshes via the linear elasticity analogy: preliminary results

Remi Abgrall 1, 2 Cécile Dobrzynski 1, 2 Algiane Froehly 1
1 BACCHUS - Parallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems
Inria Bordeaux - Sud-Ouest, UB - Université de Bordeaux, CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : We propose, analyze an algorithm for the robust construction of curved meshes in two and three dimensions. The meshes are made of curved simplices. The algorithm starts from a mesh made of straight simplices, and using a linear elasticity analogy applied on well chosen data, one can generate a curved mesh. if the initial mesh has a boundary layer, the final mesh has also a boundary layer of equivalent quality.
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https://hal.inria.fr/hal-00728850
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Submitted on : Saturday, September 8, 2012 - 11:20:12 AM
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Remi Abgrall, Cécile Dobrzynski, Algiane Froehly. A method for computing curved 2D and 3D meshes via the linear elasticity analogy: preliminary results. [Research Report] RR-8061, INRIA. 2012, pp.15. ⟨hal-00728850v2⟩

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