Publications

Titre : Numerical Microlocal analysis of 2-D noisy harmonic plane and circular waves
Année : 2013
Type : article_acl
Auteurs : J.-D. Benamou, F. Collino, S. Marmorat
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).
Thèmes :
Référence : Asymptotic Analysis - IOS Press - vol. 83 (pp 157-187 ) images/icons/doctype_pdf.gif