Variational methods for the numerical solution of nonlinear elliptic problems /

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Bibliographic Details
Author / Creator:Glowinski, R., author.
Imprint:Philadelphia : Society for Industrial and Applied Mathematics, [2015]
Description:xix, 462 pages : charts ; 25 cm.
Language:English
Series:CBMS-NSF regional conference series in applied mathematics ; 86
CBMS-NSF regional conference series in applied mathematics ; 86.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/10488957
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ISBN:9781611973778
1611973775
Notes:Includes bibliographical references (pages 425-447) and indexes.
Summary: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 non-smooth) 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.