Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 86) - Softcover

Glowinski, Roland

Softcover

ISBN 10: 1611973775 ISBN 13: 9781611973778

Publisher: Society for Industrial and Applied Mathematics, 2015

Synopsis

The computational methods that have proven essential for the solution of a large variety of nonlinear elliptic problems are discussed in detail in this book, with particular focus on their application to problems in continuum mechanics and physics. Unlike many books on this topic, the author presents examples of the power and versatility of operator-splitting methods, as well as providing readers with 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. The book also shows how nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. Recommended for advanced graduate students and researchers in applied and computational mathematics, as well as research engineers, mathematical physicists, and systems engineers.

About this title

Book Description

This book provides a detailed discussion of the computational methods that have proven efficient for the solution of various nonlinear elliptic problems. Particular focus is given to their application to problems in continuum mechanics and physics, providing useful insights to advanced graduates, researchers in applied mathematics and research engineers.

About the Author

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.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2015
• ISBN 10: 1611973775
• ISBN 13: 9781611973778
• Binding: Paperback
• Language: English
• Number of pages: 445