Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics
Seiten
1990
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-230-8 (ISBN)
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-230-8 (ISBN)
Examines the numerical simulation of the behaviour 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 traditionally used to study them.
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 traditionally used to study them. These ideas are then applied to specific classes of mechanical problems.
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 traditionally used to study them. These ideas are then applied to specific classes of mechanical problems.
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.
| Erscheint lt. Verlag | 31.1.1990 |
|---|---|
| Reihe/Serie | Studies in Applied and Numerical Mathematics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 660 g |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik |
| ISBN-10 | 0-89871-230-0 / 0898712300 |
| ISBN-13 | 978-0-89871-230-8 / 9780898712308 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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