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

• Main Authors: Martínez-Frutos, Jesús (Author, http://id.loc.gov/vocabulary/relators/aut), Periago Esparza, Francisco (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Partial differential equations.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamical systems.; Dynamics.; Mechanics.; Mechanics, Applied.; Calculus of variations.; Probabilities.; Partial Differential Equations.; Mathematical and Computational Engineering.; Vibration, Dynamical Systems, Control.; Solid Mechanics.; Calculus of Variations and Optimal Control; Optimization.; Probability Theory and Stochastic Processes.

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...

Table of Contents:

• 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.