Optimal control of parameter-dependent convection-diffusion problems around rigid bodies

Tonn, Timo; Urban, Karsten; Volkwein, Stefan

Optimal control of parameter-dependent convection-diffusion problems around rigid bodies

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Datum

2010

Autor:innen

Tonn, Timo

Urban, Karsten

Volkwein, Stefan

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

SIAM Journal on Scientific Computing. 2010, 32(3), pp. 1237-1260. ISSN 1064-8275. Available under: doi: 10.1137/08074194X

Zusammenfassung

This paper is concerned with optimal control problems of elliptic partial differential equations. In particular, parametrized convection-diffusion problems are considered, where the parameter appears in the coefficients of the partial differential equation. Moreover, the presence of one or more rigid bodies is assumed inside the domain. Both the theory (existence, differentiability, optimality criteria) is investigated and the numerical solution (projected gradient scheme) of such problems is carried out. Finally, it is shown that optimizing the efficiency of a rotating propeller fits into the presented framework, and the results of corresponding numerical experiments are given.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

convection-diffusion problems, optimal control, optimality conditions

Zitieren

ISO 690

TONN, Timo, Karsten URBAN, Stefan VOLKWEIN, 2010. Optimal control of parameter-dependent convection-diffusion problems around rigid bodies. In: SIAM Journal on Scientific Computing. 2010, 32(3), pp. 1237-1260. ISSN 1064-8275. Available under: doi: 10.1137/08074194X

BibTex

@article{Tonn2010Optim-12765,
  year={2010},
  doi={10.1137/08074194X},
  title={Optimal control of parameter-dependent convection-diffusion problems around rigid bodies},
  number={3},
  volume={32},
  issn={1064-8275},
  journal={SIAM Journal on Scientific Computing},
  pages={1237--1260},
  author={Tonn, Timo and Urban, Karsten and Volkwein, Stefan}
}

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