Research Catalog

Variational methods for the numerical solution of nonlinear elliptic problems / Roland Glowinski, University of Houston, Houston, Texas.

Title
Variational methods for the numerical solution of nonlinear elliptic problems / Roland Glowinski, University of Houston, Houston, Texas.
Author
Glowinski, R.
Publication
Philadelphia : Society for Industrial and Applied Mathematics, 2015.

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Description
xix; 462 pages; 25cm.
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.
Series Statement
CBMS-NSF regional conference series in applied mathematics ; 86
Uniform Title
CBMS-NSF regional conference series in applied mathematics
Subject
  • Nonlinear functional analysis
  • Elliptic functions
  • Lagrangian functions
  • Eikonal equation
  • Eikonal equation
  • Elliptic functions
  • Lagrangian functions
  • Nonlinear functional analysis
Bibliography (note)
  • Includes bibliographical references and index.
Processing Action (note)
  • committed to retain
Contents
Preface -- 1. On some variational problems in Hilbert spaces -- 2. Iterative methods in Hilbert spaces -- 3. Operator-splitting and alternating direction methods -- 4. Augmented Lagrangians and alternating direction methods of multipliers -- 5. Least-squares solution of linear and nonlinear problems in Hilbert spaces -- 6. Obstacle problems and Bingham flow application to control -- 7. - [nabla]2u = [lambda]u3 and other nonlinear eigenvalue problems -- 8. Eikonal equations -- 9. Fully nonlinear elliptic problems -- Epilogue.
ISBN
  • 9781611973778
  • 1611973775
LCCN
^^2015021902
OCLC
910664676
Owning Institutions
Harvard Library