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Computational Mechanics
Published in: Computational Mechanics 6/2017

11-02-2017 | Original Paper

Extended variational theory of complex rays in heterogeneous Helmholtz problem

Authors: Hao Li, Pierre Ladeveze, Hervé Riou

Published in: Computational Mechanics | Issue 6/2017

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Abstract

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.
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Metadata
Title
Extended variational theory of complex rays in heterogeneous Helmholtz problem
Authors
Hao Li
Pierre Ladeveze
Hervé Riou
Publication date
11-02-2017
Publisher
Springer Berlin Heidelberg
Published in
Computational Mechanics / Issue 6/2017
Print ISSN: 0178-7675
Electronic ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-017-1385-4

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