论文信息 - A Note on the Dimension of the Bivariate Spline Space over the Morgan-Scott Triangulation

A Note on the Dimension of the Bivariate Spline Space over the Morgan-Scott Triangulation

In [D. Diener, SIAM J. Numer. Anal., 27 (1990), pp. 543--551] a conjecture on the dimension of the bivariate spline space $S_{2r}^r(\triangle)$ over the Morgan--Scott triangulation was posed. In this paper, it is proved that the conjecture should be modified for all even r > 2.

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