A Trivariate Clough-Tocher Scheme for Tetrahedral Data.

Abstract

An interpolation scheme is described for values of position, gradient and Hesian at scattered points in three variables. The domain is assumed to have been tesselated into tetrahedra. The interpolant has local support, is globally once differentiable, piecewise polynomial, and reproduces polynomials of degree up to three exactly. The scheme has been implemented in a FORTRAN research code. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA144740

Entities

People

  • P. Alfeld

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Construction
  • Continuity
  • Equations
  • Finite Element Analysis
  • Identification
  • Interpolation
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • North Carolina
  • Numerical Analysis
  • Polynomials
  • Rocky Mountains
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Quantum Chemistry