Augmented Lagrangian and Operator-splitting Methods in Nonlinear Mechanics

by Patrick Le Tallec , Roland Glowinski

Book Details

Format Hardback or Cased Book

Book Series Studies in Applied and Numerical Mathematics

ISBN-10 0898712300

ISBN-13 9780898712308

Publisher Society for Industrial & Applied Mathematics,U.S.

Imprint Society for Industrial & Applied Mathematics,U.S.

Country of Manufacture US

Country of Publication GB

Publication Date Jan 1st, 1987

Print length 305 Pages

Weight 674 grams

Dimensions 23.70 x 16.60 x 2.40 cms

Product Classification: Fluid mechanics

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Ksh 18,200.00

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This volume deals with the numerical simulation of the behavior of continuous media by augmented Lagrangian and operator-splitting methods.

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.

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