An Interative Method for Computing Bivariate C sub 1 Piecewise Cubic Polynomial Interpolants.

Abstract

This paper describes a successive overrelaxation (SOR) method for computing a class of bivariate C sub 1 piecewise cubic polynomial interpolants. Given a collection of points in R sub 2 together with a triangulation of those points, the schemes described require only the values of the function to be interpolated at the given points. The result is a C sub 1 interpolant which is a cubic polynomial over each of the triangles in the triangulation. Numerical results are presented for a typical scheme in this class. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA172776

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  • Thomas A. Grandine

Organizations

  • University of Wisconsin–Madison

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  • Air Platforms

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Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)