Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations
Artikel i vetenskaplig tidskrift, 2015

We consider the inverse problem of the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D with limited boundary observations of the electric field. The theoretical stability for the problem is provided by the Carleman estimates. For the numerical computations the problem is formulated as an optimization problem and hybrid finite element/difference method is used to solve the parameter identification problem.

optimization

time-dependent inverse problem

Maxwell

finite element method

coefficient inverse problem

Författare

Larisa Beilina

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

M. Cristofol

Institut de Mathematiques de Marseille

K. Niinimäki

Aix Marseille Universite

Ita-Suomen yliopisto

Inverse Problems and Imaging

1930-8337 (ISSN) 1930-8345 (eISSN)

Vol. 9 1-25

Ämneskategorier

Matematik

DOI

10.3934/ipi.2015.9.1