The purpose of this volume is to present the principles of the Augmented Lagrangian Method, together with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and in the Engineering Sciences.
Author(s): Michel Fortin and Roland Glowinski (Eds.)
Series: Studies in Mathematics and Its Applications 15
Publisher: Elsevier Science Ltd
Year: 1983
Language: English
Pages: iii-x, 1-340
Content:
Edited by
Page iii
Copyright page
Page iv
Introduction
Pages v-x
Chapter 1 Augmented Lagrangian Methods in Quadratic Programming Original Research Article
Pages 1-46
M. Fortin, R. Glowinski
Chapter II Application to the Stokes and Navier-Stokes Equations Original Research Article
Pages 47-95
M. Fortin, F. Thomasset
Chapter III On Decomposition-Coordination Methods Using an Augmented Lagrangian Original Research Article
Pages 97-146
M. Fortin, R. Glowinski
Chapter IV Numerical Solution Of Mildly Nonlinear Problems By Augmented Lagrangian Methods Original Research Article
Pages 147-170
M. Fortin, R. Glowinski, T.F. Chan
Chapter V Application to the Solution Of Strongly Nonlinear Second-Order Boundary-Value Problems Original Research Article
Pages 171-216
M. Fortin, R. Glowinski, A. Marrocco
Chapter VI Application Of Algorithm Alg2 to A Two-Dimensional Elastoplasticity Problem Original Research Article
Pages 217-232
B. Mercier
Chapter VII Application to the Numerical Solution of the Two-Dimensional Flow of Incompressible Viscoplastic Fluids Original Research Article
Pages 233-255
D. Begis, R. Glowinski
Chapter VIII Application to the Solution Of Finite Nonlinear Elasticity Problems Original Research Article
Pages 257-298
J.F. Bourgat, R. Glowinski, P.Le Tallec
Chapter IX Applications of the Method of Multipliers to Variational Inequalities Original Research Article
Pages 299-331
D. Gabay
References
Pages 333-340
