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math.NA2026
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…
math.NA2026
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…