Abstract
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 -error for adaptive approximation by harmonic splines.
Acknowledgments
Authors would like to thank Professor V. Babenko for his advice and guidance during work on this project.