Hybrid high-order methods. A primer with application to solid mechanics. - Archive ouverte HAL Accéder directement au contenu
Ouvrages Année : 2021

Hybrid high-order methods. A primer with application to solid mechanics.

Résumé

This book is organized into eight chapters. The first three gently introduce the basic principles of hybrid high-order methods on a linear diffusion problem, the key ideas underlying the mathematical analysis, and some useful variants of the method as well as links to other methods from the literature. The following four present various challenging applications to solid mechanics, including linear elasticity and hyperelasticity, elastodynamics, contact/friction, and plasticity. The last chapter reviews implementation aspects. This book is primarily intended for graduate students, researchers (in applied mathematics, numerical analysis, and computational mechanics), and engineers working in related fields of application. Basic knowledge of the devising and analysis of finite element methods is assumed. Special effort was made to streamline the presentation so as to pinpoint the essential ideas, address key mathematical aspects, present examples, and provide bibliographic pointers.
Fichier principal
Vignette du fichier
hho_book_hal2.pdf (5.89 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03262027 , version 1 (16-06-2021)
hal-03262027 , version 2 (10-11-2021)

Identifiants

Citer

Matteo Cicuttin, Alexandre Ern, Nicolas Pignet. Hybrid high-order methods. A primer with application to solid mechanics.. 2021, ⟨10.1007/978-3-030-81477-9⟩. ⟨hal-03262027v2⟩
261 Consultations
187 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More