Variational Methods for Numerical Solution of Nonlinear Elliptic Problems

Roland Glowinski is Cullen Professor of Mathematics at the University of Houston and an Emeritus Professor of the Universite Pierre et Marie Curie (Paris VI). He is a member of the French National Academy of Sciences, the French National Academy of Technology, and the Academia Europaea. He is also a Fellow of both SIAM and the AMS and past recipient of the Theodore von Karman Prize for the notable application of mathematics to mechanics and/or the engineering sciences.

Preface Chapter 1: On some variational problems in Hilbert spaces Chapter 2: Iterative methods in Hilbert spaces Chapter 3: Operator-splitting and alternating direction methods Chapter 4: Augmented Lagrangians and alternating direction methods of multipliers Chapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spaces Chapter 6: Obstacle problems and Bingham flow application to control Chapter 7: Other nonlinear eigenvalue problems Chapter 8: Eikonal equations Chapter 9: Fully nonlinear elliptic problems Epilogue Bibliography Author index Subject index