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Back and forth observers: application to TAT

Haine, Ghislain Back and forth observers: application to TAT. (2017) In: Seminar of applied mathematics, 10 February 2017 (Londres, United Kingdom). (Unpublished)

(Document in English)

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In this presentation, we will introduce the back and forth nudging algorithm in the case of linear systems. First, we detailed each step in the finite dimensional setting, involving only matrices. After, we point out the major drawbacks appearing in the infinite dimensional case, and give a brief explanation of "why it still work". Finally, we apply the algorithm to thermo-acoustic tomography, by showing that it fits a particular case for which the algorithm allows to deal with ill-posed inverse problem. 3D simulations will be provided to illustrate the efficiency of the reconstruction.

Item Type:Other Conference
Audience (conference):National conference without published proceedings
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Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:25 Sep 2017 14:18

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