An optimal control approach to imaging by modification

Yves Capdeboscq (1) , Frédéric de Gournay (2) , Jérôme Fehrenbach (3) , Otared Kavian (2)

1 MI - Mathematical Institute [Oxford]
2 LMV - Laboratoire de Mathématiques de Versailles
3 IMT - Institut de Mathématiques de Toulouse UMR5219

We discuss the reconstruction of the impedance from the local power density. This study is motivated by a new imaging principle which allows to recover interior measurements of the energy density by a non invasive method. We discuss the theoretical feasibility in two dimensions, and propose numerical algorithms to recover the conductivity in two and three dimension. The efficiency of this approach is documented by several numerical simulations

Mots clés: Inverse problem; conductivity; imaging

Domaines: Analyse numérique [math.NA]

Yves Capdeboscq, Frédéric de Gournay, Jérôme Fehrenbach, Otared Kavian. An optimal control approach to imaging by modification. 2008. ⟨hal-00280599v1⟩