Portal de Periódicos da CAPES

Some properties of LR-splines

2013; Elsevier BV; Volume: 30; Issue: 8 Linguagem: Inglês

10.1016/j.cagd.2013.06.004

1879-2332

Andrea Bressan,

Advanced Numerical Analysis Techniques

Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T. Dokken, T. Lyche and H.F. Pettersen, namely Locally Refined splines. In their recent work (Dokken et al., 2013) they define the LR B-spline collection and provide tools to compute the space dimension. Here different properties of the LR-splines are analyzed: in particular the coefficients for polynomial representations and their relation with other properties such as linear independence and the number of B-splines covering each element.