© 2016

Finite Element Methods for Incompressible Flow Problems

  • Uniform presentation of finite element methods for incompressible flow problems

  • Covers stationary and time-dependent problems

  • Emphasis on numerical analysis

  • Overview of analytical results for turbulence models

  • Step-by-step presentation of proofs for facilitating the understanding


Part of the Springer Series in Computational Mathematics book series (SSCM, volume 51)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Volker John
    Pages 1-6
  3. Volker John
    Pages 137-242
  4. Volker John
    Pages 243-300
  5. Volker John
    Pages 301-353
  6. Back Matter
    Pages 677-812

About this book


This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations, and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.


Stokes and Navier-Stokes equations finite element analysis saddle point problems turbulence problems support of analysis by numerical results

Authors and affiliations

  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

Bibliographic information

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“Important distinction of this book is its extensive and detailed treatment of many turbulence models, subgrid models, and stabilization methods. … this is a very well written encyclopedic book, which I strongly recommend to anybody interested in finite element methods and incompressible fluids.” (Maxim A. Olshanskii, SIAM Review, Vol. 60 (1), 2018)