44 citations · 193 across the 17 of their papers we have counts for
4 papers · 1 filter
Construction of cubic splines on arbitrary triangulations
Tom Lyche, Carla Manni, Hendrik Speleers
In this paper, we address the problem of constructing cubic spline functions on a given arbitrary triangulation . To this end, we endow every triangle of $\mathc…
On the matrices in B-spline collocation methods for Riesz fractional equations and their spectral properties
Mariarosa Mazza, Marco Donatelli, Carla Manni +1
In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B-spline collocation method. For an arbitrary polynomial degree , we show…
Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
Carla Manni, Espen Sande, Hendrik Speleers
We show that isogeometric Galerkin discretizations of eigenvalue problems related to the Laplace operator subject to any standard type of homogeneous boundary conditions have no ou…
Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we construct Ritz-type projectors with boundary interpolation properties in finite dimensional subspaces of the usual Sobolev space and we provide a priori error esti…