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An adaptive finite element method in reconstruction of coefficients in Maxwell's equations from limited observations

Larisa Beilina (Institutionen för matematiska vetenskaper, matematik) ; Samar Hosseinzaegan (Institutionen för matematiska vetenskaper)
(2015)
[Preprint]

We propose an adaptive finite element method for the solution of a coefficient inverse problem of simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions in the Maxwell's system using limited boundary observations of the electric field in 3D. We derive a posteriori error estimates in the Tikhonov functional to be minimized and in the regularized solution of this functional, as well as formulate corresponding adaptive algorithm. Our numerical experiments justify the efficiency of our a posteriori estimates and show significant improvement of the reconstructions obtained on locally adaptively refined meshes.



Denna post skapades 2015-12-08.
CPL Pubid: 227558

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)
Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)

Ämnesområden

Matematik

Chalmers infrastruktur