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
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
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