Effective grading refinement for locally linearly independent LR B-splines

10/02/2021

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by   Francesco Patrizi, et al.

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We present a new refinement strategy for locally refined B-splines which ensures the local linear independence of the basis functions, the spanning of the full spline space on the underlying locally refined mesh and nice grading properties which grant the preservation of shape regularity and local quasi uniformity of the elements in the refining process.