Frontiers in PDE-Constrained Optimization
Editors: Antil, H., Kouri, D.P., Lacasse, M., Ridzal, D. (Eds.)
Free Preview- 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
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- About this book
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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 inverse problems 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.
- Reviews
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“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)
- Table of contents (12 chapters)
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A Brief Introduction to PDE-Constrained Optimization
Pages 3-40
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Optimization of PDEs with Uncertain Inputs
Pages 41-81
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Inexact Trust-Region Methods for PDE-Constrained Optimization
Pages 83-121
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Numerical Optimization Methods for the Optimal Control of Elliptic Variational Inequalities
Pages 123-170
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Introduction to PDE-Constrained Optimization in the Oil and Gas Industry
Pages 171-203
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Frontiers in PDE-Constrained Optimization
- Editors
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- Harbir Antil
- Drew P. Kouri
- Martin Lacasse
- Denis Ridzal
- Series Title
- The IMA Volumes in Mathematics and its Applications
- Series Volume
- 163
- Copyright
- 2018
- Publisher
- Springer-Verlag New York
- Copyright Holder
- 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
- eBook ISBN
- 978-1-4939-8636-1
- DOI
- 10.1007/978-1-4939-8636-1
- Hardcover ISBN
- 978-1-4939-8635-4
- Softcover ISBN
- 978-1-4939-9349-9
- Series ISSN
- 0940-6573
- Edition Number
- 1
- Number of Pages
- X, 434
- Number of Illustrations
- 12 b/w illustrations, 72 illustrations in colour
- Topics
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