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- Beilina, Larisa,1970Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg (author)
Adaptive Finite Element Method for an Electromagnetic Coefficient Inverse Problem
- Article/chapterEnglish2010
Publisher, publication year, extent ...
- AIP,2010
- electronicrdacarrier
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- LIBRIS-ID:oai:gup.ub.gu.se/139665
- ISBN:9780735408340
- https://gup.ub.gu.se/publication/139665URI
- https://doi.org/10.1063/1.3497811DOI
- https://research.chalmers.se/publication/139665URI
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- Language:English
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- We present an adaptive finite element method for solution of an electromagnetic coefficient inverse problem to reconstruct the dielectric permittivity and magnetic permeability functions. The inverse problem is formulated as an optimal control problem, where we solve the equations of optimality expressing stationarity of an associated Lagrangian by a quasi-Newton method: in each step we compute the gradient by solving a forward and an adjoint equation. We formulate an adaptive algorithm which can be used to efficiently solve electromagnetic coefficient inverse problem.
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- adaptive finite element method
- Maxwell's equations
- electromagnetic
- coefficient inverse problem
- ill-posed problems
- coefficient inverse problem
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- Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik (creator_code:org_t)
Related titles
- In:AIP Conference Proceedings; International Conference on Numerical Analysis and Applied Mathematics Rhodes, GREECE, SEP 19-25, 2010: AIP1281, s. 1052-10550094-243X1551-76169780735408340
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- https://gup.ub.gu.se/publication/139665FULLTEXT
- http://publications.lib.chalmers.se/records/fulltext/139665/local_139665.pdf
- http://publications.lib.chalmers.se/records/fulltext/139665/local_139665.pdfFULLTEXT
- https://gup.ub.gu.se/publication/139665
- https://doi.org/10.1063/1.3497811
- https://research.chalmers.se/publication/139665
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