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Journal Articles Comptes Rendus. Mathématique Year : 2016

Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides

Abstract

The purpose of this note is to construct a Dirichlet-to-Neumann operator for the diffraction problem in stratified anisotropic acoustic waveguides. The key idea consists in using an adapted change of coordinates that enables to recover the completeness and the orthogonality of the modes on " deformed " cross-sections of the waveguide. To cite this article:
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Dates and versions

hal-01195869 , version 1 (08-09-2015)
hal-01195869 , version 2 (05-12-2015)

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Antoine Tonnoir. Dirichlet-to-Neumann operator for diffraction problems in stratified anisotropic acoustic waveguides. Comptes Rendus. Mathématique, 2016, ⟨10.1016/j.crma.2015.12.018⟩. ⟨hal-01195869v2⟩
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