The Resource Variational methods for the numerical solution of nonlinear elliptic problems, Roland Glowinski, University of Houston, Houston, Texas

Variational methods for the numerical solution of nonlinear elliptic problems, Roland Glowinski, University of Houston, Houston, Texas

Label
Variational methods for the numerical solution of nonlinear elliptic problems
Title
Variational methods for the numerical solution of nonlinear elliptic problems
Statement of responsibility
Roland Glowinski, University of Houston, Houston, Texas
Creator
Author
Subject
Language
eng
Summary
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Glowinski, R
Illustrations
charts
Index
index present
LC call number
QA321.5
LC item number
.G56 2015
Literary form
non fiction
Nature of contents
bibliography
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
86
http://library.link/vocab/subjectName
  • Nonlinear functional analysis
  • Elliptic functions
  • Lagrangian functions
  • Eikonal equation
  • Eikonal equation
  • Elliptic functions
  • Lagrangian functions
  • Nonlinear functional analysis
Label
Variational methods for the numerical solution of nonlinear elliptic problems, Roland Glowinski, University of Houston, Houston, Texas
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 425-447) and indexes
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- 1. On some variational problems in Hilbert spaces -- 2. Iterative methods in Hilbert spaces -- 3. Operator-splitting and alternating direction methods -- 4. Augmented Lagrangians and alternating direction methods of multipliers -- 5. Least-squares solution of linear and nonlinear problems in Hilbert spaces -- 6. Obstacle problems and Bingham flow application to control -- 7. - [nabla]2u = [lambda]u3 and other nonlinear eigenvalue problems -- 8. Eikonal equations -- 9. Fully nonlinear elliptic problems -- Epilogue
Dimensions
25 cm.
Extent
xix, 462 pages
Isbn
9781611973778
Lccn
##2015021902
Media category
unmediated
Media MARC source
rdamedia
Other physical details
charts
System control number
  • (OCoLC)910664676
  • (OCoLC)ocn910664676
Label
Variational methods for the numerical solution of nonlinear elliptic problems, Roland Glowinski, University of Houston, Houston, Texas
Publication
Bibliography note
Includes bibliographical references (pages 425-447) and indexes
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- 1. On some variational problems in Hilbert spaces -- 2. Iterative methods in Hilbert spaces -- 3. Operator-splitting and alternating direction methods -- 4. Augmented Lagrangians and alternating direction methods of multipliers -- 5. Least-squares solution of linear and nonlinear problems in Hilbert spaces -- 6. Obstacle problems and Bingham flow application to control -- 7. - [nabla]2u = [lambda]u3 and other nonlinear eigenvalue problems -- 8. Eikonal equations -- 9. Fully nonlinear elliptic problems -- Epilogue
Dimensions
25 cm.
Extent
xix, 462 pages
Isbn
9781611973778
Lccn
##2015021902
Media category
unmediated
Media MARC source
rdamedia
Other physical details
charts
System control number
  • (OCoLC)910664676
  • (OCoLC)ocn910664676

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