Temat: penalty methods - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On an optimal control problem for a quasilinear parabolic equation
Autorzy:: Farag, S.
Farag, M.
Powiązania:: https://bibliotekanauki.pl/articles/1208213.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: existence theory
parabolic equations
penalty function methods
optimal control
Opis:: An optimal control problem governed by a quasilinear parabolic equation with additional constraints is investigated. The optimal control problem is converted to an optimization problem which is solved using a penalty function technique. The existence and uniqueness theorems are investigated. The derivation of formulae for the gradient of the modified function is explainedby solving the adjoint problem.
Źródło:: Applicationes Mathematicae; 2000, 27, 2; 239-250
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Optimal Control of a Drying Process with Avoiding Cracks
Autorzy:: Galant, Alexander
Grossman, Christian
Scheffler, Michael
Wensch, Jörg
Powiązania:: https://bibliotekanauki.pl/articles/1373542.pdf
Data publikacji:: 2012
Wydawca:: Uniwersytet Jagielloński. Wydawnictwo Uniwersytetu Jagiellońskiego
Tematy:: optimal control
penalty barrier methods
control constraints
coupled parabolic system
descretization
Opis:: The paper deals with the numerical treatment of the optimal control of drying of materials which may lead to cracks. The drying process is controlled by temperature, velocity and humidity of the surrounding air. The state equations dene the humidity and temperature distribution within a simplied wood specimen for given controls. The elasticity equation describes the internal stresses under humidity and temperature changes. To avoid cracks these internal stresses have to be limited. The related constraints are treated by smoothed exact barrier-penalty techniques. The objective functional of the optimal control problem is of tracking type. Further it contains a quadratic regularization by an energy term for the control variables (surrounding air) and barrier-penalty terms. The necessary optimality conditions of the auxiliary problem form a coupled system of nonlinear equations in appropriate function spaces. This optimality system is given by the state equations and the related adjoint equations, but also by an approximate projection onto the admissible set of controls by means of barrier-penalty terms. This system is discretized by nite elements and treated iteratively for given controls. The optimal control itself is performed by quasi-Newton techniques.
Źródło:: Schedae Informaticae; 2012, 21; 81-105
0860-0295
2083-8476
Pojawia się w:: Schedae Informaticae
Dostawca treści:: Biblioteka Nauki

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