Optimal Control of PDEs under Uncertainty

An Introduction with Application to Optimal Shape Design of Structures

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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematics

Paru le : 2018-08-30



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Description


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 optimal control of deterministic PDEs to optimal control of random PDEs. Coverage includes uncertainty modelling in control problems, variational formulation of PDEs with random inputs, robust and risk-averse formulations of optimal control problems, existence theory and numerical resolution methods. The exposition focusses on the entire path, starting from uncertainty modelling and ending in the practical implementation of numerical schemes for the numerical approximation of the considered problems. To this end, a selected number of illustrative examples are analysed in detail throughout the book. Computer codes, written in MatLab, are provided for all these examples. This book isadressed to graduate students and researches in Engineering, Physics and Mathematics  who are interested in optimal control and optimal design  for random partial differential  equations.

Pages
123 pages
Collection
SpringerBriefs in Mathematics
Parution
2018-08-30
Marque
Springer
EAN papier
9783319982090
EAN PDF
9783319982106

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
5356 Ko
Prix
52,74 €
EAN EPUB
9783319982106

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
12
Taille du fichier
9871 Ko
Prix
52,74 €