44 citations · 255 across the 25 of their papers we have counts for
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Isogeometric discretizations for the spectrum of the Laplace operator: outlier-free spline bases
Damiano Ricci, Carla Manni, Hendrik Speleers
Optimal spline subspaces are an elegant and efficient tool to remove spurious outliers in isogeometric Galerkin discretizations for the approximation of the spectrum of the Laplace…
On the completeness of generalized hierarchical spline spaces
Ahmed Oufqir, Carla Manni, Hendrik Speleers
We introduce a general theoretical approach to hierarchical spline spaces that replaces the classical constructive definition - based on basis selection - with a descriptive formul…
Isogeometric analysis with cubic Powell-Sabin splines
Jan Grošelj, Ada Šadl Praprotnik, Hendrik Speleers
In this paper, we consider cubic Powell-Sabin splines for the numerical solution of boundary value problems on planar and spatial surface domains. We first review the constru…