Nonstandard finite element interpolation estimate

Authors

Susanne C. Brenner, University of South Carolina

Document Type

Article

Publication Date

1-1-1999

Abstract

We show that ∥u ∥ ≤C∥u∥ , where Ω is a bounded polygonal domain in R , 0<ε<(1/2), u is the piecewise linear nodal interpolant of u with respect to a triangulation of Ω, and C depends only on ε and the minimum angle of the triangulation. Extensions to other finite element nodal interpolations are also discussed. I H(1+ε)(Ω) H(1+ε)(ω) I 2

Publication Source (Journal or Book title)

Numerical Functional Analysis and Optimization

First Page

245

Last Page

250

Recommended Citation

Brenner, S. (1999). Nonstandard finite element interpolation estimate. Numerical Functional Analysis and Optimization, 20 (3), 245-250. https://doi.org/10.1080/01630569908816890