Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems (Paperback)

Roland Glowinski

Edité par Society for Industrial Applied Mathematics,U.S., 2015
ISBN 10: 1611973775 / ISBN 13: 9781611973778
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Language: English . Brand New Book. 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. N° de réf. du libraire

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Synopsis : Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems 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 nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems.

Audience: The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.

Contents: 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.

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.

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Titre : Variational Methods for the Numerical ...
Éditeur : Society for Industrial Applied Mathematics,U.S.
Date d'édition : 2015
Reliure : Paperback
Etat du livre : New

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Glowinski, Roland
Edité par Society for Industrial and Applied Mathematics (2015)
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Roland Glowinski
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Description du livre Society for Industrial Applied Mathematics,U.S., United States, 2015. Paperback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAZ9781611973778

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Roland Glowinski
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Description du livre Society for Industrial Applied Mathematics,U.S., United States, 2015. Paperback. État : New. Language: English . Brand New Book. 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. N° de réf. du libraire AAZ9781611973778

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