Free Access
Issue
ESAIM: M2AN
Volume 37, Number 6, November-December 2003
Page(s) 973 - 989
DOI https://doi.org/10.1051/m2an:2003063
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. [CrossRef] [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. [CrossRef] [MathSciNet] [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]

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