Error Analysis of 2D Triangular Interpolation for Plane Waves

The bivariate interpolation errors of plane waves over right triangles, equilateral triangles and rectangles are analyzed. For the right triangular interpolations, the data points used for interpolations are chosen based on the area with minimum root-mean-square (RMS) error. The equilateral triangular interpolation error is at least one third less than the rectangular interpolation, while the sampling points of the equilateral triangular grids...