Free Access
Volume 37, Number 6, November-December 2003
Page(s) 973 - 989
Published online 15 November 2003
  1. R.A. Adams, Sobolev Spaces. Academic Press, Inc., Orlando (1975). [Google Scholar]
  2. S.C. Brener and L.R. Scott, The Mathematical Theory of Finite Elements Methods. Springer-Verlag, New York (1994). [Google Scholar]
  3. P.G. Ciarlet, The Finite Elements Method for Elliptic Problems. North-Holland, Amsterdam (1978). [Google Scholar]
  4. C.A. Duarte and J.T. Oden, Hp clouds-a meshless method to solve boundary-value problems. Technical Report 95-05, TICAM, The University of Texas at Austin (1995). [Google Scholar]
  5. C.A. Duarte and J.T. Oden, H-p clouds-an h-p meshless method. Numer. Methods Partial Differential Equations 1 (1996) 1–34. [Google Scholar]
  6. C.A.M. Duarte, T.J. Liszka and W.W. Tworzydlo, hp-meshless cloud method. Comput. Methods Appl. Mech. Engrg. 139 (1996) 263–288. [Google Scholar]
  7. R.G. Durán, On polynomial approximation in Sobolev spaces. SIAM J. Numer. Anal. 20 (1983) 985–988. [CrossRef] [MathSciNet] [Google Scholar]
  8. W. Han and X. Meng, Error analysis of the reproducing kernel particle method. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6157–6181. [CrossRef] [MathSciNet] [Google Scholar]
  9. Y.Y. Lu, T. Belyschko and L. Gu, Element-free Galerkin methods. Internat. J. Numer. Methods Engrg. 37 (1994) 229–256. [Google Scholar]
  10. E. Oñate, R. Taylor, O.C. Zienkiewicz and S. Idelshon, Moving least square approximations for the solutions of differential equations. Technical Report, CIMNE, Santa Fé, Argentina (1995). [Google Scholar]
  11. R.J. Renka, Multivariate interpolation of large sets of scattered data. ACM Trans. Math. Software 14 (1988) 139–148. [CrossRef] [MathSciNet] [Google Scholar]
  12. L.L. Schumaker, Fitting surfaces to scattered data, in Approximation Theory II, Academic Press, Inc., New York (1970). [Google Scholar]
  13. D.D. Shepard, A Two Dimensional Interpolation Function for Irregularly Spaced Data. Proc. 23rd Nat. Conf. ACM (1968). [Google Scholar]
  14. R. Verfúrth, A note on polynomial approximation in Sobolev spaces. ESAIM: M2AN 33 (1999) 715–719. [CrossRef] [EDP Sciences] [Google Scholar]
  15. C. Zuppa, Error estimates for modified local Shepard's formulaes. Appl. Numer. Math. (to appear). [Google Scholar]
  16. C. Zuppa, Good quality point sets and error estimates for moving least square approximations. Appl. Numer. Math. 47 (2003) 575–585. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.

Recommended for you