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.

B-spline bases for unequally smooth quadratic spline spaces on non-uniform criss-cross triangulations

DAGNINO, Catterina;LAMBERTI, Paola;REMOGNA, Sara
2012

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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Unequally smooth bivariate spline space; Non-uniform criss-cross triangulation; Bivariate B-spline basis.
C. Dagnino; P. Lamberti; S. Remogna
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/102067
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