Skip to main content
SpringerLink
Log in

Analysis of the spectral lagrange-galerkin method for the navier-stokes equations

  • Numerical Methods
  • Conference paper
  • First Online:
The Navier-Stokes Equations II — Theory and Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1530))

  • 1588 Accesses

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Douglas, J., Jr. and Russell, T.F. (1982). Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures. SIAM J. Numer. Anal., 19:871–885.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Ho, L.-W., Maday, Y., Patera, A., and Ronquist, E. M. (1989). A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations. ICASE Report, 89–57.

    Google Scholar 

  3. López-Marcos, J. and Sanz-Serna, J. (1987). Stability and convergence in numerical analysis III: Linear investigation of nonlinear stability. IMA J. Numer. Anal., 8: 71–84.

    Article  MathSciNet  MATH  Google Scholar 

  4. Morton, K. W., Priestley, A., and Süli, E. (1988). Stability of the Lagrange-Galerkin method with non-exact integration. RAIRO M 2 AN, 22:123–151.

    MATH  Google Scholar 

  5. Pironneau, O. (1982). On the transport-diffusion algorithm and its applications to the Navier-Stokes equations. Numer. Math., 38:309–332.

    Article  MathSciNet  MATH  Google Scholar 

  6. Süli, E. (1985). Lagrange-Galerkin mixed finite element approximation of the Navier-Stokes equations. In Numerical Methods for Fluid Dynamics, Morton, K. W. and Baines, M. J., Eds., pp. 439–448. Oxford University Press.

    Google Scholar 

  7. Süli, E. (1988). Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations. Numer. Math., 53:459–483.

    Article  MathSciNet  MATH  Google Scholar 

  8. Süli, E. (1988). Stability and convergence of the Lagrange-Galerkin method with non-exact integration. In The Mathematics of Finite Elements and Applications VI, Whiteman, J. R., Ed., pp. 435–442. Academic Press.

    Google Scholar 

  9. Süli, E. and Ware, A. (1991). A spectral method of characteristics for first-order hyperbolic eqautions. SIAM J. Numer. Anal., 28:423–445.

    Article  MathSciNet  MATH  Google Scholar 

  10. Süli, E. and Ware, A. (1989). A spectral Lagrange-Galerkin method for the Navier-Stokes equations: convergence and non-linear stability. Oxford University Computing Laboratory Report, 89/10.

    Google Scholar 

  11. Temam, R. (1983). Navier-Stokes Equations and Nonlinear Functional Analysis. CBMS-NSF Regional Conference Series in Applied Mathematics, SIAM, Philadelphia.

    Google Scholar 

  12. Ware, A.F. (1991). A spectral Lagrange-Galerkin method for convection-diffusion problems. D.Phil. Thesis, University of Oxford.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Oxford University Computing Laboratory, 11 Keble Road, OX1 3QD, Oxford

    Endre Süli & Antony F. Ware

Authors
  1. Endre Süli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Antony F. Ware
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

John G. Heywood Kyûya Masuda Reimund Rautmann Vsevolod A. Solonnikov

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Süli, E., Ware, A.F. (1992). Analysis of the spectral lagrange-galerkin method for the navier-stokes equations. In: Heywood, J.G., Masuda, K., Rautmann, R., Solonnikov, V.A. (eds) The Navier-Stokes Equations II — Theory and Numerical Methods. Lecture Notes in Mathematics, vol 1530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090342

Download citation

  • DOI: https://doi.org/10.1007/BFb0090342

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56261-0

  • Online ISBN: 978-3-540-47498-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation