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.

A detailed insight into computational methods for efficient solution of nonlinear elliptic problems, for advanced graduates and researchers.

About the Author
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.


Book Information
ISBN 9781611973778
Author Roland Glowinski
Format Paperback
Page Count 481
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 947g