Extended variational theory of complex rays in heterogeneous Helmholtz problem

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

1 LMT - Laboratoire de Mécanique et Technologie

In the past years, a numerical technique method called Variational Theory of Complex Rays (VTCR) has been developed for vibration problems in medium frequency. It is a Trefftz Discontinuous Galerkin method which uses plane wave functions as shape functions. However this method is only well developed in homogeneous case. In this paper, VTCR is extended to the heterogeneous Helmholtz problem by creating a new base of shape functions. Numerical examples give a scope of the performances of such an extension of VTCR.

Mots clés: Helmholtz problem; VTCR; Trefftz methods; Discontinuous Galerkin methods; Heterogeneous

Domaines: Mécanique des structures [physics.class-ph]

Hao Li, Pierre Ladevèze, Hervé Riou. Extended variational theory of complex rays in heterogeneous Helmholtz problem. Computational Mechanics, 2017, 59 (6), pp.909-918. ⟨10.1007/s00466-017-1385-4⟩. ⟨hal-01647645⟩