APPROXIMATE OPTIMAL POINTS FOR POLYNOMIAL INTERPOLATION OF REAL FUNCTIONS IN AN INTERVAL AND IN A TRIANGLE

Authors
CHEN Q BABUSKA I
Citation
Q. Chen et I. Babuska, APPROXIMATE OPTIMAL POINTS FOR POLYNOMIAL INTERPOLATION OF REAL FUNCTIONS IN AN INTERVAL AND IN A TRIANGLE, Computer methods in applied mechanics and engineering, 128(3-4), 1995, pp. 405-417
Citations number
20
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
128
Issue
3-4
Year of publication
1995
Pages
405 - 417
Database
ISI
SICI code
0045-7825(1995)128:3-4<405:AOPFPI>2.0.ZU;2-W
Abstract
The main results of this paper are the analysis of the quality of appr oximation of polynomial interpolation and the computation of the appro ximate optimal interpolation points in the triangle. We introduce vari ous norms for the interpolation operator. Computational results indica te that for a given polynomial degree, the set that minimizes the mean L(2) norm of the interpolation operator is close to the smallest Lebe sgue constant interpolation set. In particular, for the triangle, this set gives the smallest Lebesgue constant currently known.