EAN: 9783319982090

SPRINGERBRIEFS IN MATHEMATICS OPTIMAL CONTROL...

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 is adressed to graduate
students and researches in Engineering  Physics and Mathematics who are interested in optimal
control and optimal design for random partial differential equations.

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