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

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

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
Title variation
Operator-splitting methods in nonlinear mechanics
Creator
Contributor
Publisher
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
Member of
Cataloging source
CaBNvSL
http://library.link/vocab/creatorName
Glowinski, R
Illustrations
illustrations
Index
index present
LC call number
QA808.2
LC item number
.G56 1989eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Le Tallec, Patrick
  • Society for Industrial and Applied Mathematics
Series statement
SIAM studies in applied mathematics
Series volume
9
http://library.link/vocab/subjectName
  • Continuum mechanics
  • Lagrangian functions
  • Operator theory
Target audience
adult
Label
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 287-292) and index
Color
black and white
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
Dimensions
unknown
Extent
1 online resource (x, 295 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970838
Other physical details
ill.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547222
  • (SIAM)9781611970838
Label
Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Roland Glowinski and Patrick Le Tallec, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (p. 287-292) and index
Color
black and white
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
Dimensions
unknown
Extent
1 online resource (x, 295 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970838
Other physical details
ill.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547222
  • (SIAM)9781611970838

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