Hybrid Finite Element Method and Variational Theory of Complex Rays for Helmholtz Problems

Hao Li (1) , Pierre Ladevèze (1) , Hervé Riou (1)

1 LMT - Laboratoire de Mécanique et Technologie

In this paper, we consider the Weak Trefftz Discontinuous Galerkin (WTDG) method, which enables one to use at the same time the Finite Element Method (FEM) or Variational Theory of Complex Rays (VTCR) discretizations (polynoms and waves), for vibration problems. It has already been developed such that the FEM and the VTCR can be used in different adjacent subdomains in the same problem. Here, it is revisited and extended in order to allow one to use the two discretizations in the same subdomain, at the same time. Numerical examples illustrate the performances of such an approach.

Mots clés: FEM; Hybrid methods; Trefftz methods; discontinuous Galerkin methods; VTCR

Domaines: Mécanique des structures [physics.class-ph]; Analyse numérique [math.NA]

Hao Li, Pierre Ladevèze, Hervé Riou. Hybrid Finite Element Method and Variational Theory of Complex Rays for Helmholtz Problems. Journal of Computational Acoustics, 2016, 24 (4), pp.1650015. ⟨10.1142/S0218396X16500156⟩. ⟨hal-01647653⟩