no. 5
Un schéma d’interpolation rationnel sur un quadrilatère de classe C 2
ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 5, pp. 913-922. 
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Laghchim-Lahlou, Mohammed. Un schéma d’interpolation rationnel sur un quadrilatère de classe $C^2$. ESAIM: Modélisation mathématique et analyse numérique, Tome 34 (2000) no. 5, pp. 913-922. http://archive.numdam.org/item/M2AN_2000__34_5_913_0/

[1] K.N. Agbeve, Eléments finis triangulaires rationnels de classe Ck. Thèse de Doctorat, Université de Nantes (1993).

[2] P. Alfeld, A bivariate C2 Clough-Tocher scheme. Comput. Aided Geom. Design 1 (1984) 257-267. | Zbl

[3] J.H. Argyris, I. Fried et D.W. Scharpf, The TUBA family of plate elements for the matrix displacement method. The Aeronautical Journal of the Royal Aeronautical Society 72 (1968) 701-709.

[4] G. Farin, Triangular Bernstein-Bézier patches. Comput. Aided Geom. Design 2 (1986) 83-127. | MR

[5] G. Fraeijs De Veubeke, Bending and Stretching of plates, in Conference on matrix methods in structural mechanics, Wright Patterson A.F.B., Ohio (1965).

[6] G. Herron, A characterisation of C1 discrete triangular interpolants. SIAM. J. Numer. Anal. 22 (1985) 811-819. | MR | Zbl

[7] M.J. Lai, On dual functionals of polynomials in B-form. J. Approx. Theory 67 (1991) 19-37. | MR | Zbl

[8] M. Laghchim-Lahlou et P. Sablonnière, Triangular finite elements of HCT type and class Cp. Adv. Comput. Math. 2 (1994) 101-122. | MR | Zbl

[9] M. Laghchim-Lahlou et P. Sablonnière, Cr-finite elements of Powell-Sabin type on the three direction mesh. Adv. Comput. Math. 6 (1996) 191-206. | MR | Zbl

[10] A. Le Méhauté, Interpolation et approximation par des fonctions polynômiales par morceaux dans ℝn. Thèse de Doctorat ès Sciences, Université de Rennes (1984).

[11] M. Laghchim-Lahlou et P. Sablonnière, Quadrilateral finite elements of FVS type and class Cp. Numer. Math. 70 (1995)229-243. | MR | Zbl

[12] M.J. Lai et L.L. Schumaker, Scattered data interpolation using C2 Supersplines of degree six. SIAM. J. Numer. Anal. 34 (1997) 905-921. | MR | Zbl

[13] L.L. Schumaker, On the dimension of spaces of piecewise polynomials in two variables, in Multivariate Approximation Theory, W. Schempp et K. Zeller Eds., Birkhäuser Verlag, ISNM 51 (1979) 396-412. | MR | Zbl

[14] T. Wang, A C2 quintic spline interpolation scheme on triangulation. Comput. Aided Geom. Design 9 (1992) 379-386. | MR | Zbl

[15] A. Ženišek, A general theorem on triangular finite Cm-elements. RAIRO Anal. Numér. 8 (1974) 119-127. | Numdam | MR | Zbl

[16] O.C. Zienkiewicz, The finite element method in structural continum mechanics. Mc Graw Hill, London (1967). | Zbl