Numerical methods for nonlinear variational problems /

Many mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that requir...

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Bibliographic Details
Main Author: Glowinski, R.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York : Springer-Verlag, [1984]
Series:Springer series in computational physics.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Some Preliminary Comments
  • Generalities on Elliptic Variational Inequalities and on Their Approximation
  • Application of the Finite Element Method to the Approximation of Some Second-Order EVI
  • On the Approximation of Parabolic Variational Inequalities
  • Applications of Elliptic Variational Inequality Methods to the Solution of Some Nonlinear Elliptic Equations
  • Relaxation Methods and Applications
  • Decomposition-Coordination Methods by Augmented Lagrangian: Applications
  • Least-Squares Solution of Nonlinear Problems: Application to Nonlinear Problems in Fluid Dynamics
  • A Brief Introduction to Linear Variational Problems
  • A Finite Element Method with Upwinding for Second-Order Problems with Large First-Order Terms
  • Some Complements on the Navier-Stokes Equations and Their Numerical Treatment
  • Some Illustrations from an Industrial Application
  • Bibliography
  • Glossary of Symbols
  • Author Index
  • Subject Index.