Publikation:

An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction

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Macini-Volkwein.pdf
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2012

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http://nbn-resolving.de/urn:nbn:de:bsz:352-184632
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Zusammenfassung

In this paper an inverse scattering problem for the time-dependent Maxwell curl equations is considered. This problem is formulated as an optimal control problem governed by partial differential equations. First-order necessary optimality conditions are discussed. For the numerical solution a gradient-based algorithm is applied and successfully tested for some numerical examples. Finally,model-order reduction based on proper orthogonal decomposition is utilized to derive a reduced-order model for the time-dependent Maxwell curl equations. Its applicability is tested with respect to different input frequencies.

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Fachgebiet (DDC)
510 Mathematik

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Time-dependent Maxwell equations, inverse scattering, optimal control, nonlinear optimization, model reduction, proper orthogonal decomposition

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ISO 690MANCINI, Roberta, Stefan VOLKWEIN, 2012. An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction
BibTex
@unpublished{Mancini2012inver-18463,
  year={2012},
  title={An inverse scattering problem for the time-dependent Maxwell equations : nonlinear optimization and model-order reduction},
  author={Mancini, Roberta and Volkwein, Stefan}
}
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