TY - JOUR
T1 - Numerical Reconstruction of Small Perturbations in the Electromagnetic Coefficients of a Dielectric Material
AU - Marion Darbas & Stephanie Lohrengel
JO - Journal of Computational Mathematics
VL - 1
SP - 21
EP - 38
PY - 2014
DA - 2014/02
SN - 32
DO - http://doi.org/10.4208/jcm.1309-m4378
UR - https://global-sci.org/intro/article_detail/jcm/9867.html
KW - Maxwell's equations, Inverse problems, Numerical reconstruction, Exact boundary controllability, Fourier inversion.
AB - <p style="text-align: justify;">The aim of this paper is to solve numerically the inverse problem of reconstructing small amplitude perturbations in the magnetic permeability of a dielectric material from partial or total dynamic boundary measurements. Our numerical algorithm is based on the resolution of the time-dependent Maxwell equations, an exact controllability method and Fourier inversion for localizing the perturbations. Two-dimensional numerical experiments illustrate the performance of the reconstruction method for different configurations even in the case of limited-view data.</p>