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

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2010

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Tonn, Timo
Urban, Karsten

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http://nbn-resolving.de/urn:nbn:de:bsz:352-127650
DOI (zitierfähiger Link)
https://doi.org/10.1137/08074194X
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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.

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Fachgebiet (DDC)
510 Mathematik

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convection-diffusion problems, optimal control, optimality conditions

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ISO 690TONN, 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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