03419nam 2200625 a 450 991100679370332120260204140259.01-61344-748-51-61197-083-010.1137/1.9781611970838(CKB)2430000000023332(CaBNVSL)gtp00547222(SIAM)9781611970838(SSID)ssj0000527571(PQKBManifestationID)12234080(PQKBTitleCode)TC0000527571(PQKBWorkID)10544609(PQKB)10716112(PPN)18483645X(EXLCZ)992430000000023332AM09SIAM19890505d1989 uy 0engurbn||||m|||atxtccrAugmented Lagrangian and operator-splitting methods in nonlinear mechanics /Roland Glowinski and Patrick Le TallecPhiladelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)19891 electronic text (x, 295 p.) ill., digital fileSIAM studies in applied mathematics ;9Bibliographic Level Mode of Issuance: Monograph0-89871-230-0 Includes bibliographical references (p. 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.SIAM studies in applied mathematics ;9.Operator-splitting methods in nonlinear mechanics.Continuum mechanicsLagrangian functionsOperator theoryContinuum mechanics.Lagrangian functions.Operator theory.531Glowinski R41336Le Tallec Patrick42491Society for Industrial and Applied Mathematics.CaBNVSLCaBNVSLCaBNVSLBOOK9911006793703321Augmented Lagrangian and operator-splitting methods in nonlinear mechanics1455390UNINA