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# Error bounds for minimal energy bivariate polynomial splines

@article{Golitschek2002ErrorBF, title={Error bounds for minimal energy bivariate polynomial splines}, author={Manfred von Golitschek and Ming-Jun Lai and Larry L. Schumaker}, journal={Numerische Mathematik}, year={2002}, volume={93}, pages={315-331} }

- Published 2002 in Numerische Mathematik
DOI:10.1007/s002110100381

We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms. x1. Introduction Suppose we are given values ff(v)g v2V of an unknown function f at a set V of scattered points in IR 2. To approximate f, we choose a linear space S of polynomial splines of degree d deened on a triangulation 4 with vertices at the points of V. be the set of all splines in S that interpolate f at the points of V. We assume that S is big enough so that U f is… CONTINUE READING