Some Remarks on Interpolation and Best Approximation

Authors

Randolph E. Bank, University of California, San Diego
Jeffrey S. Ovall, Portland State UniversityFollow

Sponsor

National Science Foundation DMS-1318480 and DMS-1414365.

Published In

Numerische Mathematik

Document Type

Post-Print

Publication Date

3-1-2017

Subjects

Finite element method, Vector spaces, Interpolation spaces, Numerical analysis

Abstract

Sufficient conditions are provided for establishing equivalence between best approximation error and projection/interpolation error in finite-dimensional vector spaces for general (semi)norms. The results are applied to several standard finite element spaces, modes of interpolation and (semi)norms, and a numerical study of the dependence on polynomial degree of constants appearing in our estimates is provided.

Description

The final publication is available at Springer via https://doi.org/10.1007/s00211-017-0877-7.

DOI

10.1007/s00211-017-0877-7

Persistent Identifier

http://archives.pdx.edu/ds/psu/21120

Citation Details

Bank, R. E., & Ovall, J. S. (2017). Some remarks on interpolation and best approximation. Numerische Mathematik, 1-14.