Variational Methods for Numerical Solution of Nonlinear Elliptic Problems

Häftad, Engelska, 2015

1 269 kr

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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.

Produktinformation

Utgivningsdatum2015-10-30
Mått152 x 229 x undefined mm
Vikt947 g
FormatHäftad
SpråkEngelska
SerieCBMS-NSF Regional Conference Series in Applied Mathematics
Antal sidor481
FörlagSociety for Industrial & Applied Mathematics,U.S.
ISBN9781611973778

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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.

PrefaceChapter 1: On some variational problems in Hilbert spacesChapter 2: Iterative methods in Hilbert spacesChapter 3: Operator-splitting and alternating direction methodsChapter 4: Augmented Lagrangians and alternating direction methods of multipliersChapter 5: Least-squares solution of linear and nonlinear problems in Hilbert spacesChapter 6: Obstacle problems and Bingham flow application to controlChapter 7: Other nonlinear eigenvalue problemsChapter 8: Eikonal equationsChapter 9: Fully nonlinear elliptic problemsEpilogueBibliographyAuthor indexSubject index