Interpolation by various types of splines is the standard procedure in many applications. In this paper we 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 Lp-error for adaptive approximation by harmonic splines.
Applicable Analysis - An International Journal
Digital Object Identifier (DOI)
Babenko, Yuliya and Leskevich, Tatyana, "On the Lp-error of Approximation of Bivariate Functions by Harmonic Splines" (2013). Faculty Publications. 4031.