Weak Trefftz Discontinuous Galerkin method: an approach to resolve low and mid frequency mixed vibration problems - 12e COLLOQUE NATIONAL EN CALCUL DES STRUCTURES, CSMA 2015, Giens Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

Weak Trefftz Discontinuous Galerkin method: an approach to resolve low and mid frequency mixed vibration problems

Hao Li
  • Fonction : Auteur
  • PersonId : 763133
  • IdRef : 166404659
Hervé Riou

Résumé

In this paper, an innovative method called Weak Trefftz Discontinuous Galerkin Method is proposed to solve the vibration problems composed by low and mid frequency band. Several methods have been developed to solve low frequency problems, the most common used of them is the Finite Element Method. Facing to mid frequency problems, Variational Theory of Complex Rays (VTCR) is developed, which is revisited as a discontinuous Galerkin method. By weakening the Trefftz constraint, this Weak Trefftz Discontinuous Galerkin Method enables hybrid FEM and VTCR approaches applied together to easily resolve engineering problems.
In this paper, an innovative method called Weak Trefftz Discontinuous Galerkin Method is proposed to solve the vibration problems composed by low and mid frequency band. Several methods have been developed to solve low frequency problems, the most common used of them is the Finite Element Method. Facing to mid frequency problems, Variational Theory of Complex Rays (VTCR) is developed, which is revisited as a discontinuous Galerkin method. By weakening the Trefftz constraint, this Weak Trefftz Discontinuous Galerkin Method enables hybrid FEM and VTCR approaches applied together to easily resolve engineering problems.
Fichier principal
Vignette du fichier
r_XE6TJ20P.pdf (165.32 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01517292 , version 1 (03-05-2017)

Licence

Domaine public

Identifiants

  • HAL Id : hal-01517292 , version 1

Citer

Hao Li, Hervé Riou, Pierre Ladevèze. Weak Trefftz Discontinuous Galerkin method: an approach to resolve low and mid frequency mixed vibration problems. 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France. ⟨hal-01517292⟩
123 Consultations
45 Téléchargements

Partager

Gmail Facebook X LinkedIn More