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A posteriori error estimate in the lagrangian setting for an inverse problem based on a new formulation of Maxwell’s system
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- Bondestam Malmberg, John, 1988 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
- (creator_code:org_t)
- ISBN 9783319124988
- 2015-02-18
- 2015
- English.
- In: Springer Proceedings in Mathematics and Statistics: 3rd Annual Workshop on Inverse Problems, 2013, Stockholm, Sweden, 2-6 May 2013. - Cham : Springer International Publishing. - 2194-1009 .- 2194-1017. - 9783319124988 ; 120, s. 43-53
- Conference paper (peer-reviewed)
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- In this paper we consider an inverse problem of determination of a dielectric permittivity function from a backscattered electromagnetic wave. The inverse problem is formulated as an optimal control problem for a certain partial differential equation derived from Maxwell’s system. We study a solution method based on finite element approximation and provide a posteriori error estimate for the use in an adaptive algorithm.
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- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
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