Augmented Lagrangian and operator-splitting methods in nonlinear mechanics:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
[1989]
|
| Series: | SIAM studies in applied mathematics
9 |
| Subjects: | |
| Online Access: | TUM01 UBW01 UBY01 UER01 Volltext |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 287-292) and index 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 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 |
| Physical Description: | 1 Online-Ressource (x, 295 Seiten) |
| ISBN: | 0898712300 9780898712308 |
| DOI: | 10.1137/1.9781611970838 |
Staff View
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| indexdate | 2024-07-10T00:10:18Z |
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| series2 | SIAM studies in applied mathematics |
| spelling | Glowinski, Roland 1937-2022 Verfasser (DE-588)120514737 aut Augmented Lagrangian and operator-splitting methods in nonlinear mechanics Roland Glowinski and Patrick Le Tallec Operator-splitting methods in nonlinear mechanics Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) [1989] © 1989 1 Online-Ressource (x, 295 Seiten) txt rdacontent c rdamedia cr rdacarrier SIAM studies in applied mathematics 9 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 287-292) and index 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 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 Continuum mechanics Lagrangian functions Operator theory Operatortheorie (DE-588)4075665-8 gnd rswk-swf Lagrange-Funktion (DE-588)4166459-0 gnd rswk-swf Operator (DE-588)4130529-2 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Nichtlineare Mechanik (DE-588)4042095-4 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 gnd rswk-swf Zerlegung Mathematik (DE-588)4190746-2 s Operator (DE-588)4130529-2 s Kontinuumsmechanik (DE-588)4032296-8 s DE-604 Lagrange-Funktion (DE-588)4166459-0 s Nichtlineare Mechanik (DE-588)4042095-4 s Operatortheorie (DE-588)4075665-8 s Tallec, Patrick Le 20. Jht. Sonstige (DE-588)1089185405 oth Erscheint auch als Druckausgabe 0898712300 Erscheint auch als Druckausgabe 9780898712308 SIAM studies in applied mathematics 9 (DE-604)BV047229985 9 https://doi.org/10.1137/1.9781611970838 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Glowinski, Roland 1937-2022 Augmented Lagrangian and operator-splitting methods in nonlinear mechanics SIAM studies in applied mathematics Continuum mechanics Lagrangian functions Operator theory Operatortheorie (DE-588)4075665-8 gnd Lagrange-Funktion (DE-588)4166459-0 gnd Operator (DE-588)4130529-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4166459-0 (DE-588)4130529-2 (DE-588)4032296-8 (DE-588)4042095-4 (DE-588)4190746-2 |
| title | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics |
| title_alt | Operator-splitting methods in nonlinear mechanics |
| title_auth | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics |
| title_exact_search | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics |
| title_full | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics Roland Glowinski and Patrick Le Tallec |
| title_fullStr | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics Roland Glowinski and Patrick Le Tallec |
| title_full_unstemmed | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics Roland Glowinski and Patrick Le Tallec |
| title_short | Augmented Lagrangian and operator-splitting methods in nonlinear mechanics |
| title_sort | augmented lagrangian and operator splitting methods in nonlinear mechanics |
| topic | Continuum mechanics Lagrangian functions Operator theory Operatortheorie (DE-588)4075665-8 gnd Lagrange-Funktion (DE-588)4166459-0 gnd Operator (DE-588)4130529-2 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Zerlegung Mathematik (DE-588)4190746-2 gnd |
| topic_facet | Continuum mechanics Lagrangian functions Operator theory Operatortheorie Lagrange-Funktion Operator Kontinuumsmechanik Nichtlineare Mechanik Zerlegung Mathematik |
| url | https://doi.org/10.1137/1.9781611970838 |
| volume_link | (DE-604)BV047229985 |
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