Linear independence of the T-spline blending functions associated with some particular T-meshes. (English summary) Comput. Methods Appl. Mech. Engrg. 199 (2010), no. 23-24, 1437–1445. In isogeometric analysis, a disadvantage of NURBS is encountered: knot insertion is a global operation. A solution is an application of T-meshes and T-splines. Here, a basic problem is linear independence of T-spline blending functions, associated with T-meshes. In this paper, the independence is proven for some particular T-meshes. The idea is based on the local refinement algorithm by Sederberg et al. (2004). Some T-meshes that induce linearly dependent blending functions are presented. The full characterization of linear independence is still an open problem
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