Linear interpolation on a triangle

This page is dedicated to estimates for the error in linear interpolation (interpolation by linear polynomials) to (function values at) the vertices of a triangle (and more generally a simplex). Great amounts of effort have been lavished on this problem by numerical analysts because of the connection with finite elements (linear interpolation at the vertices of a triangle is Courant's finite element), and by approximation theorists because it is the simplest nontrivial example of multivariate Lagrange interpolation (see here).

Some recent work and people involved


Other sources of information

This document is maintained by Shayne ( Last Modified: .