The Cr-fundamental splines of Clough-Tocher and Powell-Sabin types for Lagrange interpolation on a three direction mesh

Advances in Computational Mathematics

Volumn 8, Issue 4, 1998, Pages 353-366

  Laghchim Lahlou, Mohammed ^a  

^a FACULTÉ DES SCIENCES SEMLALIA   (Morocco)

Author keywords

Hermite interpolation; Lagrange interpolation; Triangular finite elements

Indexed keywords

EID: 22044457653     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018904532218     Document Type: Article

References (11)

1. P.G. Ciarlet, Basic error estimates for elliptic problems, in: Handbook of Numerical Analysis, Vol. 2: Finite Elements Methods (Part 1), eds. P.G. Ciarlet and J.L. Lions (North-Holland, Amsterdam, 1991) pp. 19-351.
2. R.W. Clough and J.L. Tocher, Finite element stiffness matrices for analysis of plates in bending, in: Proc. Conf. on Matrix Methods in Structural Mechanics, Wright Patterson A.F.B., Ohio (1965).
3. W. Dahmen, T.N.T. Goodman and C.A. Micchelli, Local spline interpolation schemes in one and several variables, in: Proc. of Conf. on Approximation and Optimization, Havana, 1987, eds. A. Gomez, F. Guerra, M.A. Jiménez and G. Lopez, Lecture Notes in Mathematics 1354 (Springer, 1987).
4. G. Farin, Triangular Bernstein-Bézier patches, Computer Aided Geometric Design 2 (1986) 83-127.
5. R. Franke, Scattered data interpolation: tests of some methods, Math. Comp. 38 (1982) 181-200.
6. 2, Thèse de Doctorat, INSA de Rennes (1991).
7. p, Adv. Comput. Math. 2 (1994) 101-122.
8. r-finite elements of Powell-Sabin type on the three direction mesh, Adv. Comput. Math. 6 (1996) 191-206.
9. M.J.D. Powell and M.A. Sabin, Piecewise quadratic approximation on triangles, ACM Trans. Math. Software 3(4) (1977) 316-325.
10. P.A. Raviart and J.M. Thomas, Introduction à l'Analyse Numérique des Équations aux Dérivées Partielles (Masson, Paris, 1983).
11. m-elements, RAIRO Anal. Numér. 2 (1974) 119-127.