Journal Title
Title of Journal: Appl Math
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Abbravation: Applications of Mathematics
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Publisher
Springer Berlin Heidelberg
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Authors: Larisa Beilina Samar Hosseinzadegan
Publish Date: 2016/05/18
Volume: 61, Issue: 3, Pages: 253-286
Abstract
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 3DWe derive a posteriori error estimates in the Tikhonov functional to be minimized and in the regularized solution of this functional as well as formulate the 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
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