|
|||||
|
|
Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume |
|
| Authors: | Christian Daveau Diane Manuel Douady Abdessatar Khelifi Anton Sushchenko |
| Affiliation: | 1. Department of Mathematics , University of Cergy-Pontoise, CNRS (UMR 8088) , 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex , France christian.daveau@math.u-cergy.fr;3. Department of Mathematics , University of Cergy-Pontoise, CNRS (UMR 8088) , 2 Avenue Adolphe Chauvin, 95302 Cergy-Pontoise Cedex , France;4. Département de Mathématiques &5. Informatique, Faculté des Sciences , University of Bizerte , 7021 Zarzouna , Bizerte , Tunisia;6. University of Cergy Pontoise, ETIS, CNRS UMR 8051 , 6 Avenue du Ponceau, BP 44, 95014 Cergy-Pontoise Cedex , France |
| Abstract: | We consider the numerical solution, in a three-dimensional bounded domain, of the inverse problem for identifying the location of small electromagnetic imperfections in a medium with homogeneous background. Our numerical algorithm is based on the coupling of a discontinuous Galerkin method for the time-dependent Maxwell's equations, on the exact controllability method and on a Fourier inversion. Several numerical results are given with one and two imperfections and the robustness and accuracy of the numerical method used for the dynamic detection problem are shown. |
| Keywords: | electromagnetic inhomogeneities Maxwell's equations inverse problem control problem Fourier transform |