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Variational methods for the numerical solution of nonlinear elliptic problems

Author: R Glowinski
Publisher: Philadelphia : Society for Industrial and Applied Mathematics, [2015]
Series: CBMS-NSF regional conference series in applied mathematics, 86.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
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  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R Glowinski
ISBN: 9781611973778 1611973775
OCLC Number: 910664676
Description: xix, 462 pages : illustrations (some color) ; 25 cm.
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.
Series Title: CBMS-NSF regional conference series in applied mathematics, 86.
Responsibility: Roland Glowinski, University of Houston, Houston, Texas.
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Abstract:

A detailed insight into computational methods for efficient solution of nonlinear elliptic problems, for advanced graduates and researchers.  Read more...

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