Editors:
- 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)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (12 chapters)
-
Front Matter
-
PDE-Constrained Optimization: Tutorials
-
Front Matter
-
-
PDE-Constrained Optimization: Applications
-
Front Matter
-
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.Reviews
Editors and Affiliations
-
Department of Mathematical Sciences, George Mason University, Fairfax, USA
Harbir Antil
-
Center for Computing Research, Sandia National Laboratories, Albuquerque, USA
Drew P. Kouri, Denis Ridzal
-
Corporate Strategic Research, ExxonMobil Research and Engineering Company, Annandale, USA
Martin-D. Lacasse
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