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Adaptive Finite Ele...
Adaptive Finite Element Method for an Electromagnetic Coefficient Inverse Problem
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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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(creator_code:org_t)
- ISBN 9780735408340
- AIP, 2010
- 2010
- English.
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In: AIP Conference Proceedings; International Conference on Numerical Analysis and Applied Mathematics Rhodes, GREECE, SEP 19-25, 2010. - : AIP. - 0094-243X .- 1551-7616. - 9780735408340 ; 1281, s. 1052-1055
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Abstract
Subject headings
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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
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- adaptive finite element method
- Maxwell's equations
- electromagnetic
- coefficient inverse problem
- ill-posed problems
- coefficient inverse problem
Publication and Content Type
- ref (subject category)
- kon (subject category)
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