Overview
- Provides a comprehensive treatment to inverse problems, in particular, problems arising in the oil and gas industries
- Includes tutorials targeted towards graduate students and early career researchers who are interested in getting into the field
- Contains contributions from invited speakers which include the entire spectrum of problems arising in PDE-constrained optimization
Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 163)
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About this book
This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs). As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics.
This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. Special emphasis is placed on algorithm development and numerical computation. In addition, a comprehensive treatment of inverseproblems arising in the oil and gas industry is provided. The second part of this volume focuses on the application of PDE-constrained optimization, including problems in optimal control, optimal design, and inverse problems, among other topics.Similar content being viewed by others
Keywords
Table of contents (12 chapters)
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Front Matter
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PDE-Constrained Optimization: Tutorials
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Front Matter
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PDE-Constrained Optimization: Applications
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Front Matter
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Reviews
“I am deeply impressed by the quality of the contributions both from the mathematical and also from the applications side. I highly recommend this book to newcomers in the field and also to experts who want to broaden their expertise in other directions.” (Ekkehard Sachs, SIAM Review, Vol. 61 (4), December, 2019)
Editors and Affiliations
Bibliographic Information
Book Title: Frontiers in PDE-Constrained Optimization
Editors: Harbir Antil, Drew P. Kouri, Martin-D. Lacasse, Denis Ridzal
Series Title: The IMA Volumes in Mathematics and its Applications
DOI: https://doi.org/10.1007/978-1-4939-8636-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: National Technology & Engineering Solutions of Sandia, LLC. Under the terms of Contract DE-NA0003525, there is a non-exclusive license for use of this work by or on behalf of the U.S. Government 2018
Hardcover ISBN: 978-1-4939-8635-4Published: 13 October 2018
Softcover ISBN: 978-1-4939-9349-9Published: 10 December 2019
eBook ISBN: 978-1-4939-8636-1Published: 12 October 2018
Series ISSN: 0940-6573
Series E-ISSN: 2198-3224
Edition Number: 1
Number of Pages: X, 434
Number of Illustrations: 12 b/w illustrations, 72 illustrations in colour
Topics: Partial Differential Equations, Mathematics of Planet Earth, Optimization, Topology