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Article Dans Une Revue Computer Methods in Applied Mechanics and Engineering Année : 2014

On Trefftz and weak Trefftz discontinuous Galerkin approaches for medium-frequency acoustics

Hervé Riou

Résumé

In this paper, the wave approach called the Variational Theory of Complex Rays (VTCR), which was developed for medium-frequency acoustics and vibrations, is revisited as a discontinuous Galerkin method. Extensions leading to a weak Trefftz constraint are introduced. This weak Trefftz discontinuous Galerkin approach enables hybrid FEM/VTCR strategies to be developed easily, and paves the way for new computational techniques for the resolution of engineering problems. This paper presents some of the fundamental properties of the approach, which is illustrated by several numerical examples.
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Dates et versions

hal-01647859 , version 1 (17-12-2019)

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Pierre Ladevèze, Hervé Riou. On Trefftz and weak Trefftz discontinuous Galerkin approaches for medium-frequency acoustics. Computer Methods in Applied Mechanics and Engineering, 2014, 278, pp.729-743. ⟨10.1016/j.cma.2014.05.024⟩. ⟨hal-01647859⟩
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