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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Table of Contents:
  • Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics -- Contents -- Preface -- 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.
  • Title Page Preface Table of Contents 1. Some Continuous Media and Their Mathematical Modeling 2. Variational Formulations of the Mechanical Problems 3. Augmented Lagrangian Methods for the Solution of Variational Problems 4. Viscoplasticity and Elastoviscoplasticity in Small Strains 5. Limit Load Analysis 6. Two-Dimensional Flow of Incompressible Viscoplastic Fluids 7. Finite Elasticity 8. Large Displacement Calculations of Flexible Rods References Index