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The Resource Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces, Michael Ulbrich, (electronic resource)

Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces, Michael Ulbrich, (electronic resource)

Label
Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
Title
Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces
Statement of responsibility
Michael Ulbrich
Creator
Contributor
Subject
Language
eng
Summary
Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods
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Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
MOS-SIAM series on optimization
Target audience
adult
Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces, Michael Ulbrich, (electronic resource)
Label
Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces, Michael Ulbrich, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/mos-siam_series_on_optimization/mo11
Publication
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Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Notation -- Preface -- Chapter 1. Introduction -- Chapter 2. Elements of finite-dimensional nonsmooth analysis -- Chapter 3. Newton methods for semismooth operator equations -- Chapter 4. Smoothing steps and regularity conditions -- Chapter 5. Variational inequalities and mixed problems -- Chapter 6. Mesh independence -- Chapter 7. Trust-region globalization -- Chapter 8. State-constrained and related problems -- Chapter 9. Several applications -- Chapter 10. Optimal control of incompressible Navier-Stokes flow -- Chapter 11. Optimal control of compressible Navier-Stokes flow -- Appendix -- Bibliography -- Index
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970692&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3148395'}
Extent
1 electronic text (xiv, 308 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970692
Isbn Type
(electronic bk.)
Other physical details
digital file.
Publisher number
MO11
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

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      110 8th St, Troy, NY, 12180, US
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