Stable Local Nodal Bases for C1 Bivariate Polynomial Splines

Abstract

We give a stable construction of local nodal bases for spaces of C(sup 1) bivariate polynomial splines of degree d >- 5 defined on arbitrary triangulations. The bases given here differ from recently constructed locally linearly independent bases, and in fact we show that stability and local linear independence cannot be achieved simultaneously.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP011984

Entities

People

  • Larry L. Schumaker
  • Oleg Davydov

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Cartesian Coordinates
  • Coefficients
  • Construction
  • Inequalities
  • Interpolation
  • Polynomials
  • Technical Information Centers
  • Triangles
  • Triangulation
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation

Technology Areas

  • Space