10 citations · 10 across the 3 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…
Outlier-free isogeometric discretizations for Laplace eigenvalue problems: closed-form eigenvalue and eigenvector expressions
Noureddine Lamsahel, Carla Manni, Ahmed Ratnani +2
We derive explicit closed-form expressions for the eigenvalues and eigenvectors of the matrices resulting from isogeometric Galerkin discretizations based on outlier-free spline su…
A parsimonious approach to cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split
Tom Lyche, Carla Manni, Hendrik Speleers
We present a general method to obtain interesting subspaces of the cubic spline space defined on the cubic Wang-Shi refinement of a given arbitrary triangulation $\mathcal{T}…
Quadrature rules for splines of high smoothness on uniformly refined triangles
Salah Eddargani, Carla Manni, Hendrik Speleers
In this paper, we identify families of quadrature rules that are exact for sufficiently smooth spline spaces on uniformly refined triangles in . Given any symmetric q…
Tchebycheffian B-splines in isogeometric Galerkin methods
Krunal Raval, Carla Manni, Hendrik Speleers
Tchebycheffian splines are smooth piecewise functions whose pieces are drawn from (possibly different) Tchebycheff spaces, a natural generalization of algebraic polynomial spaces.…