Optimal Control of PDEs under Uncertainty An Introduction with Appli
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 stude
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Jesús Martínez-Frutos Francisco Periago Esparza
Optimal Control of PDEs under Uncertainty An Introduction with Application to Optimal Shape Design of Structures
SpringerBriefs in Mathematics Series editors Nicola Bellomo, Torino, Italy Michele Benzi, Atlanta, USA Palle Jorgensen, Iowa City, USA Tatsien Li, Shanghai, China Roderick Melnik, Waterloo, Canada Lothar Reichel, Kent, USA Otmar Scherzer, Vienna, Austria Benjamin Steinberg, New York, USA Yuri Tschinkel, New York, USA George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA
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BCAM SpringerBriefs Editorial Board Enrique Zuazua Deusto Tech Universidad de Deusto Bilbao, Spain and Departamento de Matemáticas Universidad Autónoma de Madrid Cantoblanco, Madrid, Spain Irene Fonseca Center for Nonlinear Analysis Department of Mathematical Sciences Carnegie Mellon University Pittsburgh, USA Juan J. Manfredi Department of Mathematics University of Pittsburgh Pittsburgh, USA Emmanuel Trélat Laboratoire Jacques-Louis Lions Institut Universitaire de France Université Pierre et Marie Curie CNRS, UMR, Paris Xu Zhang School of Mathematics Sichuan University Chengdu, China BCAM SpringerBriefs aims to publish contributions in the following disciplines: Applied Mathematics, Finance, Statistics and Computer Science. BCAM has appointed an Editorial Board, who evaluate and review proposals. Typical topics include: a timely report of state-of-the-art analytical techniques, bridge between new research results published in journal articles and a contextual literature review, a snapshot of a hot or emerging topic, a presentation of core concepts that students must understand in order to make independent contributions. Please submit your proposal to the Editorial Board or to Francesca Bonadei, Executive Editor Mathematics, Statistics, and Engineering: [email protected].
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Jesús Martínez-Frutos Francisco Periago Esparza •
Optimal Control of PDEs under Uncertainty An Introduction with Application to Optimal Shape Design of Structures
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Jesús Martínez-Frutos Computational Mechanics and Scientific Computing Group, Department of Structures and Construction Technical University of Cartagena Cartagena, Murcia, Spain
Francisco Periago Esparza Department of Applied Mathematics and Statistics Technical University of Cartagena Cartagena, Murcia, Spain
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-319-98209-0 ISBN 978-3-319-98210-6 (eBook) https://doi.org/10.1007/978-3-319-98210-6 Library of Congress Control Number: 2018951210 © The Author(s), under exclusive license to Springer Nature Switzerland
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