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

Autor:	Beilina, Larisa, Cristofol, Michel, Niinimäki, Kati
Rok vydání:	2015
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
DOI:	10.3934/ipi.2015.9.1
Popis:	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. Comment: in Inverse Problems and Imaging Volume: 9, Number: 1 February 2015. arXiv admin note: text overlap with arXiv:1510.07525
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1512.00675 Zobrazit plný text záznamu View this record from Arxiv