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Titre : |
Numerical Microlocal analysis of 2-D noisy harmonic plane and circular waves |
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Année : |
2013 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
J.-D. Benamou, F. Collino, S. Marmorat |
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Résumé : |
We present a mathematical and numerical analysis of the stability and
accuracy of the NMLA (Numerical MicroLocal Analysis) method and its discretization.
We restrict to homogeneous space and focus on the two simplest cases : 1) Noisy plane
wave packets, 2) Noisy point source solutions. A stability result is obtained through
the introduction of a new impedance observable. The analysis of the point source
case leads to a modified second order (curvature dependent) correction of the algorithm.
Since NMLA is local, this second order improved version can be applied to general data
(heterogeneous media). |
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Thèmes : |
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Référence : |
Asymptotic Analysis - IOS Press - vol. 83 (pp 157-187 )  |
