Comptes Rendus
no. 6
Partial differential equations/Numerical analysis
Wave splitting for time-dependent scattered field separation
[Décomposition d'ondes pour la séparation de champs diffractés dans le domaine temporel]

Présenté par : Haïm Brézis

Marcus J. Grote1 ; Marie Kray1 ; Frédéric Nataf2, 3, 4 ; Franck Assous5
1 Department of Mathematics and Computer Sciences, University of Basel, Spiegelgasse 1, CH-4051 Basel, Switzerland
2 CNRS, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
3 UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
4 INRIA Rocquencourt, Alpines, BP 105, 78153 Le Chesnay cedex, France
5 Department of Computer Sciences and Mathematics, Ariel University, 40700 Ariel, Israel
Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 523-527.

À partir des conditions aux limites absorbantes classiques, nous proposons une méthode dans le domaine temporel pour la séparation des champs d'onde diffractés dus à des sources ou des obstacles multiples. Contrairement aux techniques antérieures, notre procédé est local en temps et en espace, déterministe, et ne dépend pas de connaissances a priori du spectre de fréquence du signal.

Starting from classical absorbing boundary conditions, we propose a method for the separation of time-dependent scattered wave fields due to multiple sources or obstacles. In contrast to previous techniques, our method is local in space and time, deterministic, and also avoids a priori assumptions on the frequency spectrum of the signal.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.03.008

Marcus J. Grote 1 ; Marie Kray 1 ; Frédéric Nataf 2, 3, 4 ; Franck Assous 5

1 Department of Mathematics and Computer Sciences, University of Basel, Spiegelgasse 1, CH-4051 Basel, Switzerland
2 CNRS, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
3 UPMC Univ Paris 06, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
4 INRIA Rocquencourt, Alpines, BP 105, 78153 Le Chesnay cedex, France
5 Department of Computer Sciences and Mathematics, Ariel University, 40700 Ariel, Israel 
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     journal = {Comptes Rendus. Math\'ematique},
     pages = {523--527},
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Marcus J. Grote; Marie Kray; Frédéric Nataf; Franck Assous. Wave splitting for time-dependent scattered field separation. Comptes Rendus. Mathématique, Volume 353 (2015) no. 6, pp. 523-527. doi : 10.1016/j.crma.2015.03.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.03.008/

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