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Article
Some Remarks on Interpolation and Best Approximation
Numerische Mathematik
  • Randolph E. Bank, University of California, San Diego
  • Jeffrey S. Ovall, Portland State University
Document Type
Post-Print
Publication Date
3-1-2017
Subjects
  • Finite element method,
  • Vector spaces,
  • Interpolation spaces,
  • Numerical analysis
Disciplines
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 Information
Bank, R. E., & Ovall, J. S. (2017). Some remarks on interpolation and best approximation. Numerische Mathematik, 1-14.