Augmented Lagrangian and operator-splitting methods in nonlinear mechanics

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 ori...

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Bibliographic Details
Main Authors: Glowinski, Roland, Le Tallec, Patrick
Format: eBook Book
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 1989
Society for Industrial and Applied Mathematics (SIAM)
Series:SIAM Studies in Applied Mathematics
Subjects:
Continuum mechanics
General References
Lagrangian functions
Mechanics & Mechanical Engineering
Operator theory
ISBN:9780898712308, 0898712300
Online Access:Get full text
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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.
Bibliography:Includes index
ISBN:9780898712308
0898712300