Optimal Control of PDEs under Uncertainty: An Introduction with Application to Optimal Shape Design of Structures

This book provides a direct and comprehensive introduction to theoretical and numerical concepts in the emerging field of optimal control of partial differential equations (PDEs) under uncertainty. The main objective of the book is to offer graduate students and researchers a smooth transition from ... Ausführliche Beschreibung

1. Person: Martínez-Frutos, Jesús
Weitere Körperschaften: SpringerLink (Online service)
Weitere Personen: Periago Esparza, Francisco [author]
Format: E-Buch
Sprache: English
Veröffentlicht: Cham Springer International Publishing 2018, 2018
Beschreibung: XIX, 123 p. 45 illus., 37 illus. in color online resource
Ausgabe: 1st ed. 2018
Serien: SpringerBriefs in Mathematics
Schlagworte: Mathematical and Computational Engineering
Distribution (Probability theory
Mechanics, Applied
Solid Mechanics
Differential equations, partial
Probability Theory and Stochastic Processes
Engineering mathematics
Calculus of Variations and Optimal Control; Optimization
Partial Differential Equations
Vibration, Dynamical Systems, Control
Mathematical optimization
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  • 1 Introduction
  • 2 Mathematical Preliminaires
  • 3 Mathematical Analysis of Optimal Control Problems Under Uncertainty
  • 4 Numerical Resolution of Robust Optimal Control Problems
  • 5 Numerical Resolution of Risk Averse Optimal Control Problems
  • 6 Structural Optimization Under Uncertainty
  • 7 Miscellaneous Topics and Open Problems

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