Error analysis for quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of bounded rectangular domains

@inproceedings{Dagnino2006ErrorAF,
  title={Error analysis for quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of bounded rectangular domains},
  author={Catterina Dagnino and Paul Sablonni{\`e}re},
  year={2006}
}
Given a non-uniform criss-cross partition of a rectangular domain $\Omega$, we analyse the error between a function $f$ defined on $\Omega$ and two types of $C^1$-quadratic spline quasi-interpolants (QIs) obtained as linear combinations of B-splines with discrete functionals as coefficients. The main novelties are the facts that supports of B-splines are contained in $\Omega$ and that data sites also lie inside or on the boundary of $\Omega$. Moreover, the infinity norms of these QIs are small… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

ON A BIVARIATE B-SPLINE BASIS

VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

P

F. Foucher
  • Sablonnière : Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants. Congress MAMERN, Oujda, Marocco, May 9-11, 2005. Prépublication IRMAR, in preparation
  • 2006

Refinement equation and subdivision algorithm for quadratic B-splines on non-uniform criss-cross triangulations

P. Sablonnière
  • Proceedings of the International Conference Wavelets and Splines, St. Petersburg (July 3-8, 2003). St. Petersburg University Press
  • 2005
VIEW 1 EXCERPT

BB-coefficients of bivariate B-splines on rectangular domains with nonuniform criss-cross triangulations

P. Sablonnière
  • Prépublication IRMAR 03-14
  • 2003
VIEW 3 EXCERPTS