Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects

Sonia Fliss 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We are interested in the numerical simulation of wave propagation in media which are a local perturbation of an infinite periodic one. The question of finding artificial boundary conditions to reduce the actual numerical computations to a neighborhood of the perturbation via a DtN operator was already developed in at the continuous level. We deal in this article with the numerical aspects associated to the discretization of the problem. In particular, we describe the construction of discrete DtN operators that relies on the numerical solution of local cell problems, non stationary Ricatti equations and the discretization of non standard integral equations in Floquet variables. © 2011 Elsevier Inc.
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Submitted on : Friday, August 30, 2013 - 11:15:07 AM
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Sonia Fliss, Patrick Joly. Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects. Journal of Computational Physics, Elsevier, 2012, 231 (4), pp.1244-1271. ⟨10.1016/j.jcp.2011.10.007⟩. ⟨hal-00849566⟩

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