10 citations · 10 across the 2 of their papers we have counts for
6 papers
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.…
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…
Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Francesco Patrizi, Carla Manni, Francesca Pelosi +1
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B…
A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
Rene R. Hiemstra, Thomas J. R. Hughes, Carla Manni +2
In this paper we present an efficient and robust approach to compute a normalized B-spline-like basis for spline spaces with pieces drawn from extended Tchebycheff spaces. The exte…
Explicit error estimates for spline approximation of arbitrary smoothness in isogeometric analysis
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we provide a priori error estimates with explicit constants for both the -projection and the Ritz projection onto spline spaces of arbitrary smoothness defined o…
Sharp error estimates for spline approximation: explicit constants, -widths, and eigenfunction convergence
Espen Sande, Carla Manni, Hendrik Speleers
In this paper we provide a priori error estimates in standard Sobolev (semi-)norms for approximation in spline spaces of maximal smoothness on arbitrary grids. The error estimates…