A priori error estimates for Lagrange interpolation on triangles
Numerical Analysis
2015-09-17 v2
Abstract
We present the error analysis of Lagrange interpolation on triangles. A new \textit{a priori} error estimate is derived in which the bound is expressed in terms of the diameter and circumradius of a triangle. No geometric conditions on triangles are imposed in order to get this type of error estimates.
Keywords
Cite
@article{arxiv.1408.2179,
title = {A priori error estimates for Lagrange interpolation on triangles},
author = {Kenta Kobayashi and Takuya Tsuchiya},
journal= {arXiv preprint arXiv:1408.2179},
year = {2015}
}
Comments
15 pages, 2 figures To appear in Applications of Mathematics