Autor: Tiba, D. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Extensions of the control variational method
Autorzy:: Sprekels, J.
Tiba, D.
Powiązania:: https://bibliotekanauki.pl/articles/206097.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
calculus of variations
contact problems
evolution problems
Opis:: The control variational method is a development of the variational approach, based on optimal control theory. In this work, we give an application to a variational inequality arising in mechanics and involving unilateral conditions both in the domain and on the boundary, and we explore the extension of the method to time-dependent problems.
Źródło:: Control and Cybernetics; 2011, 40, 4; 1099-1108
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Shape optimization for stationary Navier-Stokes equations
Autorzy:: Halanay, A.
Tiba, D.
Powiązania:: https://bibliotekanauki.pl/articles/970751.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal design
optimal control method
fluid mechanics
penalization
gradient method
Opis:: This work discusses geometric optimization problems governed by stationary Navier-Stokes equations. Optimal domains are proved to exist under the assumption that the family of admissible domains is bounded and satisfies the Lipschitz condition with a uniform constant, and in the absence of the uniqueness property for the state system. Through the parametrization of the admissible shapes by continuous functions defined on a larger universal domain, the optimization parameter becomes a control, i.e. an element of that family of continuous functions. The approximating extension technique via the penalization of the Navier-Stokes equation enables the approximation of the associated shape optimization problem by an optimal control problem. Results on existence and uniqueness are proved for the approximating problem and a gradient-type algorithm is indicated.
Źródło:: Control and Cybernetics; 2009, 38, 4B; 1359-1374
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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