44 citations · 255 across the 25 of their papers we have counts for
4 papers · 1 filter
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…
Computation of multi-degree B-splines
Hendrik Speleers
Multi-degree splines are smooth piecewise-polynomial functions where the pieces can have different degrees. We describe a simple algorithmic construction of a set of basis function…
Isogeometric analysis for 2D and 3D curl-div problems: Spectral symbols and fast iterative solvers
Mariarosa Mazza, Carla Manni, Ahmed Ratnani +2
Alfvén-like operators are of interest in magnetohydrodynamics, which is used in plasma physics to study the macroscopic behavior of plasma. Motivated by this important and complex…
Adaptive isogeometric analysis with hierarchical box splines
Tadej Kanduc, Carlotta Giannelli, Francesca Pelosi +1
Isogeometric analysis is a recently developed framework based on finite element analysis, where the simple building blocks in geometry and solution space are replaced by more compl…