Title: Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics (Studies in Applied and Numerical Mathematics)
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 1987
Language: English
ISBN 10: 0898712300
ISBN 13: 9780898712308
Binding: Hardcover
Condition: New

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).

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