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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Hlavní autoři: Glowinski, Roland, Le Tallec, Patrick
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Philadelphia Society for Industrial and Applied Mathematics 1989
Society for Industrial and Applied Mathematics (SIAM)
Edice:SIAM Studies in Applied Mathematics
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ISBN:9780898712308, 0898712300
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  • 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