Augmented Lagrangian and operator-splitting methods in nonlinear mechanics / Roland Glowinski and Patrick Le Tallec.

Format:

Book

Author/Creator:

Glowinski, R.

Contributor:

Le Tallec, Patrick.

Society for Industrial and Applied Mathematics.

Series:

SIAM studies in applied mathematics ; 9.

SIAM studies in applied mathematics ; 9

Language:

English

Subjects (All):

Continuum mechanics.

Lagrangian functions.

Operator theory.

Physical Description:

1 electronic text (x, 295 p.) : ill., digital file.

Other Title:

Operator-splitting methods in nonlinear mechanics.

Place of Publication:

Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1989.

Language Note:

English

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 287-292) and index.

Title from title screen, viewed 04/05/2011.

ISBN:

1-61344-748-5

1-61197-083-0

Publisher Number:

AM09 SIAM