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}
}
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

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Norms of projectors onto spaces with Riesz bases

  • M. von Golitschek
  • J . Comput . Appl . Math .
  • 2000

On the approximation power of splines ontriangulated quadrangulations

  • M. J. Lai, L. L. Schumaker
  • SIAM J . Numer . Anal .
  • 1999

Schumaker , On the approximation power of splines ontriangulated quadrangulations

  • M. J. Lai, L. L.
  • SIAM J . Numer . Anal .
  • 1999

Schumaker , On the approximation power of bivariatesplines

  • M. J. Lai, L. L.
  • Advances in Comp . Math .
  • 1998

Similar Papers

Loading similar papers…