Springer Series in Computational Mathematics

Finite Element Methods for Navier-Stokes Equations

Theory and Algorithms

Authors: Girault, Vivette, Raviart, Pierre-Arnaud

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About this Textbook

The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehenĀ­ sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary probĀ­ lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemenĀ­ tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].

Table of contents (4 chapters)

  • Mathematical Foundation of the Stokes Problem

    Girault, Vivette (et al.)

    Pages 1-111

  • Numerical Solution of the Stokes Problem in the Primitive Variables

    Girault, Vivette (et al.)

    Pages 112-192

  • Incompressible Mixed Finite Element Methods for Solving the Stokes Problem

    Girault, Vivette (et al.)

    Pages 193-277

  • Theory and Approximation of the Navier-Stokes Problem

    Girault, Vivette (et al.)

    Pages 278-367

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-3-642-61623-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-3-642-64888-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Finite Element Methods for Navier-Stokes Equations
Book Subtitle
Theory and Algorithms
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
5
Copyright
1986
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61623-5
DOI
10.1007/978-3-642-61623-5
Softcover ISBN
978-3-642-64888-5
Series ISSN
0179-3632
Edition Number
1
Number of Pages
X, 376
Topics