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Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations
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- Beilina, Larisa, 1970 (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
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- Cristofol, M. (author)
- Institut de Mathematiques de Marseille
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- Niinimaki, K. (author)
- Aix-Marseille Université,Aix Marseille University,Itä-Suomen Yliopisto,University of Eastern Finland
- (creator_code:org_t)
- American Institute of Mathematical Sciences (AIMS), 2015
- 2015
- English.
- In: Inverse Problems and Imaging. - : American Institute of Mathematical Sciences (AIMS). - 1930-8337 .- 1930-8345. ; 9:1, s. 1-25
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Maxwell
- time-dependent inverse problem
- finite element method
- coefficient inverse problem
- optimization
- optimization
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- ref (subject category)
- art (subject category)
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