Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations - Archive ouverte HAL Access content directly
Journal Articles Inverse Problems and Imaging Year : 2015

Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations

Abstract

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.
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Dates and versions

hal-01264003 , version 1 (28-01-2016)

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Larisa Beilina, Michel Cristofol, Kati Niinimäki. Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations. Inverse Problems and Imaging , 2015. ⟨hal-01264003⟩
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