Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics

Roland Glowinski, Patrick Le Tallec

ISBN 10: 0898712300 / ISBN 13: 9780898712308

Published by Society for Industrial and Applied Mathematics,U.S., US, 1990

About this Item

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.

Seller Inventory # LU-9780898712308

Bibliographic Details

• Title: Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics
• Publisher: Society for Industrial and Applied Mathematics,U.S., US
• Publication Date: 1990
• Language: English
• ISBN 10: 0898712300
• ISBN 13: 9780898712308
• Binding: Hardback
• Condition: New
• Weight: 674 grams

About this title

Synopsis

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.

Book Description

The volume is oriented to applications in continuum mechanics and deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods (coupled to finite-element approximations).