Abstract
In this paper, we investigate bivariate quadratic spline spaces on non-uniform criss-cross triangulations of a bounded domain with unequal smoothness across inner grid lines. We provide the dimension of the above spaces and we construct their local bases. Moreover, we propose a computational procedure to get such bases. Finally we introduce spline spaces with unequal smoothness also across oblique mesh segments.
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Dagnino, C., Lamberti, P. & Remogna, S. B-spline bases for unequally smooth quadratic spline spaces on non-uniform criss-cross triangulations. Numer Algor 61, 209–222 (2012). https://doi.org/10.1007/s11075-012-9601-y
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DOI: https://doi.org/10.1007/s11075-012-9601-y
Keywords
- Unequally smooth bivariate spline space
- Non-uniform criss-cross triangulation
- Bivariate B-spline basis