no. 1-2
Numerical Analysis
An Aitken-like acceleration method applied to missing boundary data reconstruction for the Cauchy–Helmholtz problem
[Une méthode d'accélération de type Aitken appliquée à la reconstruction de données frontières manquantes sur le problème de Cauchy–Helmholtz]

Présenté par : Olivier Pironneau

Ben Abda, Amel1 ; Ben Fatma, Riadh1 ; Tromeur-Dervout, Damien2
1 LAMSIN, École nationale d'ingénieurs de Tunis, université Tunis-El Manar, B.P. 37, 1002 Le Belvédère, Tunisia
2 Université de Lyon, université Lyon 1, CNRS, institut Camille-Jordan, 43, boulevard du 11 Novembre 1918, 69622 Villeurbanne, France
Comptes Rendus. Mathématique, Tome 348 (2010) no. 1-2, pp. 93-97.

Cette Note concerne le problème mal-posé de Cauchy–Helmholtz. Ce problème est interprété en terme d'équation d'interface qu'on résout via une méthode d'Aitken–Schwarz. Des essais numériques illustrent l'efficacité de cette méthode.

This Note is concerned with the severely ill-posed Cauchy–Helmholtz problem. This Cauchy problem being rephrased through an “interfacial” equation, we resort to an Aitken–Schwarz method for solving this equation. Numerical trials highlight the efficiency of the present method.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2009.11.010
Ben Abda, Amel 1 ; Ben Fatma, Riadh 1 ; Tromeur-Dervout, Damien 2

1 LAMSIN, École nationale d'ingénieurs de Tunis, université Tunis-El Manar, B.P. 37, 1002 Le Belvédère, Tunisia
2 Université de Lyon, université Lyon 1, CNRS, institut Camille-Jordan, 43, boulevard du 11 Novembre 1918, 69622 Villeurbanne, France 
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Ben Abda, Amel; Ben Fatma, Riadh; Tromeur-Dervout, Damien. An Aitken-like acceleration method applied to missing boundary data reconstruction for the Cauchy–Helmholtz problem. Comptes Rendus. Mathématique, Tome 348 (2010) no. 1-2, pp. 93-97. doi : 10.1016/j.crma.2009.11.010. http://www.numdam.org/articles/10.1016/j.crma.2009.11.010/

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