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A GEOMETRIC FEATURE FOR FINITE ELEMENT SCHEMES 被引量:1

A GEOMETRIC FEATURE FOR FINITE ELEMENT SCHEMES
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摘要 In this note we characterize the geometric facture of a (μ, r, k) - FES. Namely, for a C~μ triangular in- terpolation schcme with C^r vertex data, any angle of the macrotriangle must be divided into at least (μ + 1)/ (r + 1 - μ) parts. In this note we characterize the geometric facture of a (μ, r, k) - FES. Namely, for a C~μ triangular in- terpolation schcme with C^r vertex data, any angle of the macrotriangle must be divided into at least (μ + 1)/ (r + 1 - μ) parts.
出处 《Analysis in Theory and Applications》 1994年第2期83-91,共9页 分析理论与应用(英文刊)
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同被引文献7

  • 1Farin G.Triangular bernstein-bezier patches. Computer Aided Geometric Design . 1986
  • 2Peters,J.Local smooth surface interpolation:a classification. Computer Aided Geometric Design . 1990
  • 3Stramg G,Fix G.An analysis of the finite element method. . 1973
  • 4Zenisek,A.Interpolation polynomials on the Triangle,Num. Mathematica Journal . 1970
  • 5GOODMAN T N T,SAID H B.A C1 triangular interpolant suitable for scattered data interpolation. Communication in Applied Numerical Methods . 1991
  • 6Schumaker,L.Spline Functions: Basic Theory. . 1981
  • 7Wang,R.The dimension and basis of spaces of multivariate splines. Journal of Computational and Applied Mathematics . 1975

引证文献1

  • 1Yin-wei Zhan (Key Lab of Digital Image Processing Techniques of Guangdong Province Science Center Shantou University, Shantou, 515063, China).ON TRIANGULAR C^1 SCHEMES: A NOVEL CONSTRUCTION[J].Journal of Computational Mathematics,2000,18(4):403-412.

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