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

Mancini, Roberta; Volkwein, Stefan

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

Dateien

Macini-Volkwein.pdfGröße: 1.13 MBDownloads: 500

Datum

2012

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

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.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

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

Zitieren

ISO 690

MANCINI, 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@unpublished{Mancini2012inver-18463,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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