Equilibrated tractions for the Hybrid High-Order method

Daniele A. Di Pietro; Alexandre Ern

doi:10.1016/j.crma.2014.12.009

Numerical analysis

Equilibrated tractions for the Hybrid High-Order method

Presented by: Olivier Pironneau

Daniele A. Di Pietro ¹; Alexandre Ern ²

¹ University of Montpellier 2, I3M, 34057 Montpellier cedex 5, France
² University Paris-Est, CERMICS (ENPC), 6–8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

Comptes Rendus. Mathématique, Volume 353 (2015) no. 3, pp. 279-282

Abstract (Original language)
Résumé

We show how to recover equilibrated face tractions for the Hybrid High-Order method for linear elasticity recently introduced in [1], and prove that these tractions are optimally convergent.

Nous montrons comment obtenir des tractions de face équilibrées pour la méthode hybride d'ordre élevé pour l'élasticité linéaire récemment introduite dans [1] et prouvons que ces tractions convergent de manière optimale.

Received: 2014-10-30
Accepted: 2014-12-10
Published online: 2015-01-30

DOI: 10.1016/j.crma.2014.12.009

Author's affiliations:

Daniele A. Di Pietro ¹; Alexandre Ern ²

¹ University of Montpellier 2, I3M, 34057 Montpellier cedex 5, France
² University Paris-Est, CERMICS (ENPC), 6–8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France

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     author = {Daniele A. Di Pietro and Alexandre Ern},
     title = {Equilibrated tractions for the {Hybrid} {High-Order} method},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {279--282},
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     publisher = {Elsevier},
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     number = {3},
     doi = {10.1016/j.crma.2014.12.009},
     language = {en},
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Daniele A. Di Pietro; Alexandre Ern. Equilibrated tractions for the Hybrid High-Order method. Comptes Rendus. Mathématique, Volume 353 (2015) no. 3, pp. 279-282. doi: 10.1016/j.crma.2014.12.009

References
Cited by

[1] D.A. Di Pietro; A. Ern A hybrid high-order locking-free method for linear elasticity on general meshes, Comput. Methods Appl. Mech. Eng., Volume 283 (2015), pp. 1-21

[2] D.A. Di Pietro; A. Ern Mathematical Aspects of Discontinuous Galerkin Methods, Mathématiques & Applications, vol. 69, Springer-Verlag, Berlin, 2012

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