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 Université 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 Kármán Prize for the notable application of mathematics to mechanics and/or the engineering sciences.

• PrefaceChapter 1: On some variational problems in Hilbert spacesChapter 2: Iterative methods in Hilbert spacesChapter 3: Operator-splitting and alternating direction methodsChapter 4: Augmented Lagrangians and alternating direction methods of multipliersChapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spacesChapter 6: Obstacle problems and Bingham flow application to controlChapter 7: Other nonlinear eigenvalue problemsChapter 8: Eikonal equationsChapter 9: Fully nonlinear elliptic problemsEpilogueBibliographyAuthor indexSubject index