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

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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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Authors and Affiliations

  1. Department of Mathematics, University of Torino, via C. Alberto 10, 10123, Torino, Italy

    Catterina Dagnino, Paola Lamberti & Sara Remogna

Authors
  1. Catterina Dagnino
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  2. Paola Lamberti
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  3. Sara Remogna
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Correspondence to Catterina Dagnino.

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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

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