On Stable Local Bases for BivariatePolynomial Spline

@inproceedings{Davydov1999OnSL,
  title={On Stable Local Bases for BivariatePolynomial Spline},
  author={S. O. Davydov and Larry L. Schumaker},
  year={1999}
}
Stable locally supported bases are constructed for the spaces S r d (4) of polynomial splines of degree d 3r + 2 and smoothness r deened on trian-gulations 4, as well as for various superspline subspaces. In addition, we show that for r 1, it is impossible to construct bases which are simultaneously stable and locally linearly independent. x1. Introduction This paper deals with the classical space of polynomial splines S r d (4) := fs 2 C r (() : sj T 2 P d for all triangles T 2 4g; where P d… CONTINUE READING

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