On the $L_p$-error of approximation of bivariate functions by harmonic splines
Numerical Analysis
2011-01-17 v1
Abstract
Interpolation by various types of splines is the standard procedure in many applications. In this paper we shall discuss harmonic spline "interpolation" (on the lines of a grid) as an alternative to polynomial spline interpolation (at vertices of a grid). We will discuss some advantages and drawbacks of this approach and present the asymptotics of the -error for adaptive approximation by harmonic splines.
Cite
@article{arxiv.1101.2696,
title = {On the $L_p$-error of approximation of bivariate functions by harmonic splines},
author = {Yuliya Babenko and Tatyana Leskevich},
journal= {arXiv preprint arXiv:1101.2696},
year = {2011}
}