Publication Cover
Applicable Analysis
An International Journal
Volume 42, 1991 - Issue 1-4
43
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

Polynomial approximation of some singular functions

&
Pages 1-32 | Received 05 Oct 1990, Published online: 10 May 2007

References

  • Babuska , I. and Suri , M. 1987 . The optimal convergence rate of the p-version of the finite element method . SIAM J. Numer. Anal , 24 : 750 – 776 .
  • Suri , M. 1990 . The p-version of the finite element method for elliptic equations of order 2l . Model Math, et Anal. Numer , 24 : 265 – 304 .
  • Bernardi , C. and Maday , Y. 1989 . Properties of some weighted Sobolev spaces, and application to spectral approximations . SIAM J. Numer. Anal , 26 : 769 – 829 .
  • Davis , P.J. and Rabinowitz , P. 1984 . Methods of Numerical Integration , London, New-York : Academic Press .
  • Canuto , C. and Quarteroni , A. 1982 . Approximation results for orthogonal polynomials in Sobolev spaces . Math. Comput , 38 : 67 – 86 .
  • Dauge , M. 1988 . Elliptic Boundary VaJue Problems on Corner Domains , Berlin, New-York : Springer-Verlag .
  • Triebel , H. 1978 . Interpolation Theory, Function Spaces, Differential Operators , North-Holland, Amsterdam, New-York : Oxford .
  • Grisvard , P. 1985 . Elliptic Problems in Nonsmooth Domains , Boston, London, Melbourne : Pitman .
  • Raugel , G. 1978 . Resolution numerique de problemes elliptiques dans des domaines a. coins, These 3eme cycle , Universite de Rennes .
  • Bernardi , C. and Raugel , G. 1981 . Methodes d'elements finis mixtes pour les equations de Stokes et de Navier-Stokes dans un polygone non convexe . Calcolo , 18 : 255 – 291 .
  • Maday , Y. 1981 . Analysis of spectral projection operators in one dimensional domains . Math. Comput , 18
  • Babuska , I. Personal communication
  • Bernardi , C. , Dauge , M. and Maday , Y. Polynomials in Weighted Sobolev Spaces
  • Maday , Y. and Patera , A.T. Spectral element methods for the incompressible Navier-Stokes equations . State-of-the Art Surveys on Com¬putational Mechanics , 1989
  • Bernardi , C. , Girault , V. and Maday , Y. Mixed spectral element ap¬proximation of the Navier-Stokes equations in the stream-function and vorticity formulation . IMA J. Numer. Anal , 1989

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.