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Autor: V. Arnautu
ISBN-13: 9781402017711
Einband: Buch
Seiten: 330
Gewicht: 674 g
Format: 240x160x mm
Sprache: Englisch

Optimal Control from Theory to Computer Programs

Vol.111, Solid Mechanics and Its Applications
4
"1: Selected Topics From Functional And Convex Analysis. 1. Differentiability topics. 2. Convex functionals.
2: Optimization Problems. 1. Existence and uniqueness results for minimization problems. 2. The Azimuth Mark method. 3. The steepest descent method. 4.Projection operators in Hilbert spaces. 5. Projected gradient methods.
3: Numerical Approximation of Elliptic Variational Problems. 1. An Example from Fluid Mechanics problems in media with semi-permeable boundaries. 2. The general form of Elliptic Variational Inequalities. 3. The internal approximation of Elliptic Variational Inequalities. 4.The Finite Element Method. Error Estimates. 5. Optimization Methods. 5.1. The successive approximations method. 5.2. The penalization method. 5.3. The Lagrange multipliers method. 6. Computer realization of the optimization methods. 6.1. The seepage flow of water through a homogeneous rectangular dam. 6.2. The successive approximations method. 6.3. The penalization method. 6.4. The Lagrange multipliers method.
4: Indirect Methods For Optimal Control Problems. 1. The elimination of the state. 2. An optimal control problem related to the inverse Stefan problem. 2.1. The one-phase Stefan problem. 2.2. The inverse Stefan problem and the related optimal control problem. 2.3. The numerical realization of the Algorithm ALG-R. 3. Optimal control for a two-phase Stefan Problem. 3.1. The two-phase Stefan Problem. 3.2. The optimal contr"
3
"The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones. The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs. "
Autor: V. Arnautu
ISBN-13:: 9781402017711
ISBN: 1402017715
Verlag: Springer Netherlands
Gewicht: 674g
Seiten: 330
Sprache: Englisch
Auflage 2003
Sonstiges: Buch, 240x160x mm, X, 330 p.