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08 February 2025
 
  » arxiv » 1508.0119

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An extention of Babuv{s}ka-Aziz's theorem to higher order Lagrange interpolation
Kenta Kobayashi ; Takuya Tsuchiya ;
Date 1 Aug 2015
AbstractWe consider the error analysis of Lagrange interpolation on triangular elements. For Lagrange interpolation of order one, Babuv{s}ka and Aziz showed that squeezing a right isosceles triangle perpendicularly does not deteriorate the approximation property. We extend their technique and result to higher order Lagrange interpolation. To this end, we make use of difference quotients of functions with two variables on right triangles.
Source arXiv, 1508.0119
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