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$$C^ 1$$ quintic interpolation over triangles: Two explicit representations. (English) Zbl 0477.65009

##### MSC:
 65D05 Numerical interpolation 41A05 Interpolation in approximation theory 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 74S05 Finite element methods applied to problems in solid mechanics
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##### References:
 [1] and , An Analysis of the Finite Element Method, Prentice-Hall, N.J., 1973. [2] The Finite Element Method, 3rd edn, McGraw-Hill, London, 1977. [3] ’Some recent advances in the mathematics of finite elements’, in The Mathematics of Finite Elements and Applications (Ed.), Academic Press, 1973, pp. 59-79. · doi:10.1016/B978-0-12-747250-8.50007-2 [4] ’A method of bivariate interpolation and smooth surface fitting for values given at irregularly distributed points’, U.S. Govt Printing Office, Washington, D.C. (1975). [5] and , The Finite Element Method in Partial Differential Equations, Wiley, 1977, Sec. 4.1. [6] ’Representation and approximation of surfaces’, in Mathematical Software III (Ed.), Academic Press, 1977, pp. 69-120. · doi:10.1016/B978-0-12-587260-7.50008-X [7] ’Bézier polynomials over triangles and the construction of piecewise Cr polynyomials’, TR/91, Dept of Mathematics, Brunel Univ., Uxbridge, Middlesex, U.K. (1980). [8] ’Distributive lattices and the approximation of multivariate functions’, Proc. Symp. on Approximation with Special Emphasis on Splines (Ed.), Univ. of Wisconsin Press, Madison, Wisconsin (1969). [9] ’Surfaces for computer aided design of space forms’, M.I.T.; available from NTIS, U.S. Dept of Commerce, Springfield, VA, U.S.A. (1964, rev. 1967). [10] Forrest, Comp. J. 15 pp 71– (1972) · Zbl 0243.68015 · doi:10.1093/comjnl/15.1.71
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