Asymptotic and discrete concepts for optimal control in radiative transfer

Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly and used for the study of optimal control based on reduced order mode...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Zeitschrift für angewandte Mathematik und Mechanik 2007-05, Vol.87 (5), p.333-347
Hauptverfasser: Herty, M., Pinnau, R., Thömmes, G.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Optimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly and used for the study of optimal control based on reduced order models. Moreover, combining asymptotic analysis and the adjoint calculus yields diffusion‐type approximations for the adjoint radiative transport equation in the spirit of the approach first optimize, then discretize.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.200610316