Augmented Lagrangian and operator-splitting methods in nonlinear mechanics

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 ori...

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Bibliographic Details
Main Author: Glowinski, R.
Other Authors: Le Tallec, Patrick.
Format: eBook
Language: English
Published: Philadelphia : Society for Industrial and Applied Mathematics, 1989.
Series: SIAM studies in applied mathematics ; 9.
Subjects:
Continuum mechanics.
Lagrangian functions.
Operator theory.
elektronické knihy
electronic books
ISBN: 9781611970838
1611970830
0898712300
9780898712308
Physical Description: 1 online resource (x, 295 pages) : illustrations

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Table of contents

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020 |a 9781611970838  |q (electronic bk.) 
020 |a 1611970830  |q (electronic bk.) 
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042 |a dlr 
100 1 |a Glowinski, R. 
245 1 0 |a Augmented Lagrangian and operator-splitting methods in nonlinear mechanics /  |c Roland Glowinski and Patrick Le Tallec. 
260 |a Philadelphia :  |b Society for Industrial and Applied Mathematics,  |c 1989. 
300 |a 1 online resource (x, 295 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a SIAM studies in applied mathematics ;  |v 9 
504 |a Includes bibliographical references (pages 287-292) and index. 
505 0 |a 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. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 3 |a 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. 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Continuum mechanics. 
650 0 |a Lagrangian functions. 
650 0 |a Operator theory. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Le Tallec, Patrick. 
776 0 8 |i Print version:  |a Glowinski, R.  |t Augmented Lagrangian and operator-splitting methods in nonlinear mechanics.  |d Philadelphia : Society for Industrial and Applied Mathematics, 1989  |w (DLC) 89011319  |w (OCoLC)19741623 
830 0 |a SIAM studies in applied mathematics ;  |v 9. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpALOSMNM1/augmented-lagrangian-and?kpromoter=marc  |y Full text 

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