Skip to main content
SpringerLink
Log in

Mathematical and numerical study of nonlinear problems in fluid mechanics

  • Plenary Lectures
  • Conference paper
  • First Online:
Equadiff 6

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1192))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. Benda, M. Feistauer: Rotational subsonic flow of an ideal compressible fluid in axially symmetric channels. Acta Polytechnica, 7(IV, 3), 1978, 95–105 (in Czech).

    Google Scholar 

  2. M.O. Bristeau, R. Glowinski, J. Periaux, P. Perrier, O. Pironneau, G. Poirier: Application of optimal control and finite element methods to the calculation of transonic flows and incompressible viscous flows. Rapport de Recherche no. 294 (avril 1978), LABORIA IRIA.

    Google Scholar 

  3. Ph.G. Ciarlet: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam-New York-Oxford, 1978.

    MATH  Google Scholar 

  4. M. Feistauer: On two-dimensional and three-dimensional axially symmetric flows of an ideal incompressible fluid. Apl. mat. 22 (1977), 199–214.

    MathSciNet  MATH  Google Scholar 

  5. M. Feistauer: Mathematical study of three-dimensional axially symmetric stream fields of an ideal fluid. Habilitation Thesis, Faculty of Math. and Physics, Prague, 1979 (in Czech).

    Google Scholar 

  6. M. Feistauer: Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics. Apl. mat. 24(1979), 67–74.

    MathSciNet  MATH  Google Scholar 

  7. M. Feistauer: Numerical solution of non-viscous axially symmetric channel flows. In: Methoden und Verfahren der mathematischen Physik, Band 24, 65–78, P. Lang-Verlag, Frankfurt am Main-Bern, 1982.

    Google Scholar 

  8. M. Feistauer: Mathematical study of rotational incompressible nonviscous flows through multiply connected domains. Apl. mat. 26 (1981) 345–364.

    MathSciNet  MATH  Google Scholar 

  9. M. Feistauer: Subsonic irrotational flows in multiply connected domains. Math. Meth. in the Appl. Sci. 4(1982), 230–242.

    Article  MathSciNet  MATH  Google Scholar 

  10. M. Feistauer: On irrotational flows through cascades of profiles in a layer of variable thickness. Apl. mat. 29(1984), 423–458.

    MathSciNet  MATH  Google Scholar 

  11. M. Feistauer: Finite element solution of non-viscous flows in cascades of blades. ZAMM 65(1985), 4, T191–T194.

    MathSciNet  MATH  Google Scholar 

  12. M. Feistauer: Mathematical and numerical study of flows through cascades of profiles. In: Proc. of "International Conference on Numerical Methods and Applications" held in Sophia, August 27–September 2, 1984 (to appear).

    Google Scholar 

  13. M. Feistauer: On the finite element approximation of a cascade flow problem. Numer. Math. (to appear).

    Google Scholar 

  14. M. Feistauer: Finite element solution of flow problems with trailing conditions (to appear).

    Google Scholar 

  15. M. Feistauer, J. Římánek: Solution of subsonic axially symmetric stream fields. Apl. mat. 20(1975), 266–279.

    MathSciNet  MATH  Google Scholar 

  16. M. Feistauer, J. Felcman, Z. Vlášek: Calculation of irrotational flows through cascades of blades in a layer of variable thickness. Research report, ŠKODA Plazen, 1983 (in Czech).

    Google Scholar 

  17. M. Feistauer, J. Felcman, Z. Vlášek: Finite element solution of flows through cascades of profiles in a layer of variable thickness. Apl. mat. (to appear).

    Google Scholar 

  18. M. Feistauer, A. Ženíšek: Finite element solution of nonlinear elliptic problems (submitted to Numer. Math.)

    Google Scholar 

  19. J.L. Lions: Quelques Methodes de Résolution des Problémes aux Limites non Linéaires. Dunod, Paris, 1969.

    Google Scholar 

  20. J. Nečas: Über Grenzwerte von Funktionen, welche ein endliches Dirichletsches Integral haben. Apl. mat. 5(1960), 202–209.

    MathSciNet  MATH  Google Scholar 

  21. J. Nečas: Les Méthodes Directes en Théorie des Équations Elliptiques. Academia, Prague, 1967.

    Google Scholar 

  22. J. Nečas: Introduction to the Theory of Nonlinear Elliptic Equations. Teubner-Texte zur Mathematik, Band 52, Leipzig, 1983.

    Google Scholar 

  23. G. Strang: Variational crimes in the finite element method. In: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A.K. Aziz, Ed.), Academic Press, New York, 1972, 689–710.

    Chapter  Google Scholar 

  24. A. Ženíšek: How to avoid the use of Green's theorem in the Ciarlets's and Raviart's theory of variational crimes (to appear).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, 11800, Prague 1, Czech Republic

    M. Feistauer

Authors
  1. M. Feistauer
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jaromír Vosmanský Miloš Zlámal

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Equadiff 6 and Springer-Verlag

About this paper

Cite this paper

Feistauer, M. (1986). Mathematical and numerical study of nonlinear problems in fluid mechanics. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076047

Download citation

  • DOI: https://doi.org/10.1007/BFb0076047

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation