Skip to main content

Numerical analysis of a multigrid method for spectral approximations

  • Contributed Papers
  • Conference paper
  • First Online:
11th International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 323))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. GOTTLIEB & S.A. ORSZAG-Numerical Analysis of Spectral Methods: Theory and Applications, SIAM (1977).

    Google Scholar 

  2. C. CANUTO, M.Y. HUSSAINI, A. QUARTERONI & T.A. ZANG-Spectral Methods in Fluid Dynamics, Springer-Verlag (1987).

    Google Scholar 

  3. S.A. ORSZAG-Comparison of Pseudospectral and Spectral Approximations, Stud. Appl. Math. 51, pp253–259 1972.

    Google Scholar 

  4. C. BERNARDI, Y. MADAY & A.T.PATERA-Nonconforming spectral element methods, Analysis of the method-in preparation.

    Google Scholar 

  5. Y. MADAY, C. MAVRIPLIS & A.T. PATERA-Nonconforming spectral element methods, Numerical results-to appear in the proceedings of the second conference on Domain Decomposition Methods, (UCLA).

    Google Scholar 

  6. D. FUNARO, A. QUARTERONI & P. ZANOLLI-An iterative procedure with interface relaxation for domain decomposition methods, to appear in SINUM.

    Google Scholar 

  7. M. MACARAEG & C. L. STREET-Improvement in spectral collocation through multiple domain techniques, J. Appl. Numer. Math., 2 pp 95,108, 1986.

    Google Scholar 

  8. Y. MARION & B. G. GAY-Résolution des equations de Navier-Stokes par une méthode spectrale via une technique de coordination, in Proc. 6th Int. Symp. Finite Element Methods in Flow Problems, 1986.

    Google Scholar 

  9. R. PEYRET-Introduction to spectral methods, preprint 98, Université de Nice, lecture series 1986-04, V.K.I.

    Google Scholar 

  10. C. CANUTO & A. QUARTERONI-Preconditioned minimal residual methods for Chebyshev spectral calculations, JCP, 60, pp 315–337, 1985.

    Google Scholar 

  11. M. DEVILLE & E.MUND-Chebyshev pseudospectral solution of second order elliptic equations with finite element preconditioning JCP, 60, pp 517–533, 1985.

    Google Scholar 

  12. Y. MORCHOISNE-Résolution des équations de Navier-Stokes par une méthode spectrale de sous-domaines, Comptes-Rendus du 3ème Congrés Intem. sur les Méthodes Numériques de l'Ingénieur, publiés par P. Lascaux, Paris (1983).

    Google Scholar 

  13. C. L. STEET, T. A. ZANG & M. Y. HUSSAINI-Spectral multigrid methods with applications to transonic potential flows, JCP 57, pp 43–76, 1985.

    Google Scholar 

  14. T.A. ZANG, Y. S. WONG & M.Y. HUSSAINI-Spectral multigrid methods for elliptic equations, J.C.P. 48, pp485–501, 1982 and J.C.P. 52, pp489–507, 1984.

    Google Scholar 

  15. E. M. RONQUIST & A.T. PATERA-Spectral element multigrid, part 1 Formulation and numerical results, J. of Scient. Comp. 2-2 pp389–406, 1987.

    Google Scholar 

  16. Y. MADAY & R. MUNOZ-Spectral element multigrid, part 2 Theoretical Justification, submitted to J. of Scient. Comp.

    Google Scholar 

  17. R. E. BANK & C. C. DOUGLAS-Sharp estimates for multigrid rates of convergence with general smoothing and acceleration, SINUM 22, pp 617,633, 1985.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

D. L. Dwoyer M. Y. Hussaini R. G. Voigt

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag

About this paper

Cite this paper

Maday, Y., Muñoz, R. (1989). Numerical analysis of a multigrid method for spectral approximations. In: Dwoyer, D.L., Hussaini, M.Y., Voigt, R.G. (eds) 11th International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51048-6_61

Download citation

  • DOI: https://doi.org/10.1007/3-540-51048-6_61

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51048-2

  • Online ISBN: 978-3-540-46141-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics