Weak Trefftz Discontinuous Galerkin method: an approach to resolve low and mid frequency mixed vibration problems
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.
Domaines
Mécanique [physics]
Origine : Fichiers produits par l'(les) auteur(s)
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