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The IMA Volumes in Mathematics and its Applications Mathematics of Planet Earth Collection

Frontiers in PDE-Constrained Optimization

Editors: Antil, H., Kouri, D.P., Lacasse, M.-D., Ridzal, D. (Eds.)

  • 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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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4939-8636-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4939-8635-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 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.

Table of contents (12 chapters)

  • A Brief Introduction to PDE-Constrained Optimization

    Antil, Harbir (et al.)

    Pages 3-40

  • Optimization of PDEs with Uncertain Inputs

    Kouri, Drew P. (et al.)

    Pages 41-81

  • Inexact Trust-Region Methods for PDE-Constrained Optimization

    Kouri, Drew P. (et al.)

    Pages 83-121

  • Numerical Optimization Methods for the Optimal Control of Elliptic Variational Inequalities

    Surowiec, Thomas M.

    Pages 123-170

  • Introduction to PDE-Constrained Optimization in the Oil and Gas Industry

    Brandman, Jeremy (et al.)

    Pages 171-203

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-1-4939-8636-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-1-4939-8635-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
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
Series ISSN
0940-6573
Edition Number
1
Number of Pages
X, 434
Number of Illustrations
12 b/w illustrations, 72 illustrations in colour
Topics