Barnhill, R. E.; Farin, G. \(C^ 1\) quintic interpolation over triangles: Two explicit representations. (English) Zbl 0477.65009 Int. J. Numer. Methods Eng. 17, 1763-1778 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 24 Documents 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 Keywords:Coons method; Bernstein-Bezier-method; triangular interpolants; quintic interpolant; Coons surfaces PDF BibTeX XML Cite \textit{R. E. Barnhill} and \textit{G. Farin}, Int. J. Numer. Methods Eng. 17, 1763--1778 (1981; Zbl 0477.65009) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.