Temat: parabolic partial differential equations - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Calculation of distribution of temperature in three-dimensional solid changing its shape during the process
Autorzy:: Bożek, B.
Mączka, C.
Powiązania:: https://bibliotekanauki.pl/articles/255226.pdf
Data publikacji:: 2005
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: parabolic partial differential equations
non-stationary distribution of heat
finite element method
Galerkin method
Opis:: The present paper suplements and continues [2]. Galerkin method for the Fourier-Kirchoff equation in the case when Omega(t) - equation domain, dependending on time t, is constructed. For special case Omega(t) rcup R2 the computer program for above method is written. Binaries and sources of this program are available on http://wms.mat.agh.edu.pl/~bozek.
Źródło:: Opuscula Mathematica; 2005, 25, 2; 169-179
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Discrete relaxed method for semilinear parabolic optimal control problem
Autorzy:: Chryssoverghi, I.
Coletsos, J.
Kokkinis, B.
Powiązania:: https://bibliotekanauki.pl/articles/205973.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
accumulation points
discrete optimisation method
discretization
distributed control
minimum principle
optimal control
parabolic equations
partial differential equations
penalty method
relaxed control
semilinear parabolic system
Opis:: We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.
Źródło:: Control and Cybernetics; 1999, 28, 2; 157-176
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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