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Finite Element Methods for Navier-Stokes Equations

Theory and Algorithms

  • Vivette Girault
  • Pierre-Arnaud Raviart

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 5)

Table of contents

  1. Front Matter
    Pages i-x
  2. Vivette Girault, Pierre-Arnaud Raviart
    Pages 1-111
  3. Vivette Girault, Pierre-Arnaud Raviart
    Pages 112-192
  4. Vivette Girault, Pierre-Arnaud Raviart
    Pages 193-277
  5. Vivette Girault, Pierre-Arnaud Raviart
    Pages 278-367
  6. Back Matter
    Pages 368-376

About this book

Introduction

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 comprehen­ sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob­ 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 implemen­ 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].

Keywords

finite element method mathematics numerical analysis

Authors and affiliations

  • Vivette Girault
    • 1
  • Pierre-Arnaud Raviart
    • 1
  1. 1.Laboratoire associé 189, Analyse NumériqueUniversité Pierre et Marie Curie, Paris VIParis Cedex 05France

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61623-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1986
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64888-5
  • Online ISBN 978-3-642-61623-5
  • Series Print ISSN 0179-3632
  • Buy this book on publisher's site