Equilibrated tractions for the Hybrid High-Order method

Daniele Di Pietro (1) , Alexandre Ern (2)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique

We show how to recover equilibrated face tractions for the hybrid high-order method for linear elasticity recently introduced in [D. A. Di Pietro & A. Ern, A hybrid high-order locking-free method for linear elasticity on general meshes, Comput. Meth. Appl. Mech. Engrg., 2015, 283:1–21 ], and prove that these tractions are optimally convergent.

Mots clés: hybrid high-order methods; equilibrated tractions; linear elasticity

Domaines: Analyse numérique [math.NA]

Daniele Di Pietro, Alexandre Ern. Equilibrated tractions for the Hybrid High-Order method. Comptes Rendus. Mathématique, 2015, 353 (3), pp.279--282. ⟨10.1016/j.crma.2014.12.009⟩. ⟨hal-01079026v2⟩