Title

Nonstandard finite element interpolation estimate

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

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