Contact us on (02) 8445 2300
For all customer service and order enquiries

Woodslane Online Catalogues

9781611973778 Academic Inspection Copy

Variational Methods for Numerical Solution of Nonlinear Elliptic Problems

Description
Author
Biography
Table of
Contents
Sales
Points
Google
Preview
Addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by: Presenting examples of the power and versatility of operator-splitting methods. Providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering. Showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear 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
A detailed insight into computational methods for efficient solution of nonlinear elliptic problems, for advanced graduates and researchers.
Google Preview content