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Simultaneous reconstruction of Maxwell’s coefficients from backscattering data

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; M. Cristofol ; K. Niinimäki
Springer Proceedings in Mathematics and Statistics: 3rd Annual Workshop on Inverse Problems, 2013, Stockholm, Sweden, 2-6 May 2013 (2194-1009). Vol. 120 (2015), p. 135-151.
[Konferensbidrag, refereegranskat]

We use the conjugade gradient method for the solution of an inverse problem for simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions of the Maxwell's system in 3D using backscattering data. We show stability of our inverse problem using the Carleman estimates. Our numerical experiments show reliable reconstruction of both parameters using the optimization approach.



Denna post skapades 2015-05-19. Senast ändrad 2016-06-03.
CPL Pubid: 217222

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur