Accession Number:

ADP011984

Title:

Stable Local Nodal Bases for C1 Bivariate Polynomial Splines

Descriptive Note:

Conference paper

Corporate Author:

JUSTUS-LIEBIG-UNIV GIESSEN (GERMANY) MATHEMATICS INST

Personal Author(s):

• Davydov, Oleg
• Schumaker, Larry L.

Report Date:

2000-01-01

Pagination or Media Count:

10.0

Abstract:

We give a stable construction of local nodal bases for spaces of Csup 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.

Descriptors:

• *SPLINES(GEOMETRY)
• UNITED STATES
• POLYNOMIALS
• GERMANY
• TRIANGULATION

Subject Categories:

• Numerical Mathematics
• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE