Efficient explicit time stepping for the extended finite element method (X-FEM) - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2006

Efficient explicit time stepping for the extended finite element method (X-FEM)

Résumé

This paper focuses on the introduction of a lumped mass matrix for enriched elements, which enables one to use a pure explicit formulation in X‐FEM applications. A proof of stability for the 1D and 2D cases is given. We show that if one uses this technique, the critical time step does not tend to zero as the support of the discontinuity reaches the boundaries of the elements. We also show that the X‐FEM element's critical time step is of the same order as that of the corresponding element without extended degrees of freedom.
Fichier principal
Vignette du fichier
Menouillard2006.pdf (431.62 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00938641 , version 1 (27-04-2021)

Licence

Paternité

Identifiants

Citer

Thomas Menouillard, Julien Réthoré, Alain Combescure, Harridh Bung. Efficient explicit time stepping for the extended finite element method (X-FEM). International Journal for Numerical Methods in Engineering, 2006, 68, pp.911-939. ⟨10.1002/nme.1718⟩. ⟨hal-00938641⟩
96 Consultations
632 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More