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The Resource Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec

Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec

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Contributor
Summary
A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems
Language
eng
Work
Publication
Extent
1 online resource (x, 295 pages)
Contents
  • Chapter 1. Some continuous media and their mathematical modeling
  • Chapter 2. Variational formulations of the mechanical problems
  • Chapter 3. Augmented Lagrangian methods for the solution of variational problems
  • Chapter 4. Viscoplasticity and elastoviscoplasticity in small strains
  • Chapter 5. Limit load analysis
  • Chapter 6. Two-dimensional flow of incompressible viscoplastic fluids
  • Chapter 7. Finite elasticity
  • Chapter 8. Large displacement calculations of flexible rods
  • References
  • Index
Isbn
9781611970838
Link
http://libproxy.rpi.edu/login?url=http://app.knovel.com/hotlink/toc/id:kpALOSMNM1/augmented-lagrangian-and
Instance
Label
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
Title
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
Statement of responsibility
Roland Glowinski and Patrick Le Tallec
Creator
Contributor
Subject
Language
eng
Summary
A need for a deeper understanding of the convergence properties of augmented Lagrangian algorithms and of their relationship to operator-splitting methods such as alternating-methods direction and the development of more efficient algorithms prompted the authors to write this book. The volume is oriented to applications in continuum mechanics. This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations). It begins with a description of the mechanical and mathematical frameworks of the considered applications as well as a general analysis of the basic numerical methods additionally used to study them. These ideas are then applied to specific classes of mechanical problems
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Cataloging source
OCLCE
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SIAM studies in applied mathematics
Series volume
9
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec
Label
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec
Link
http://libproxy.rpi.edu/login?url=http://app.knovel.com/hotlink/toc/id:kpALOSMNM1/augmented-lagrangian-and
Publication
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Antecedent source
file reproduced from original
Bibliography note
Includes bibliographical references (pages 287-292) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Chapter 1. Some continuous media and their mathematical modeling -- Chapter 2. Variational formulations of the mechanical problems -- Chapter 3. Augmented Lagrangian methods for the solution of variational problems -- Chapter 4. Viscoplasticity and elastoviscoplasticity in small strains -- Chapter 5. Limit load analysis -- Chapter 6. Two-dimensional flow of incompressible viscoplastic fluids -- Chapter 7. Finite elasticity -- Chapter 8. Large displacement calculations of flexible rods -- References -- Index
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611970838&userID=ebsco-test&password=ebsco-test
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unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3325139'}
Extent
1 online resource (x, 295 pages)
Form of item
online
Isbn
9781611970838
Level of compression
  • lossless
  • lossy
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
illustrations.
Reformatting quality
  • preservation
  • access
Reproduction note
Electronic reproduction.
Specific material designation
remote
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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