29 citations · 33 across the 3 of their papers we have counts for
4 papers
On best constants in approximation
Andrea Bressan, Michael S. Floater, Espen Sande
In this paper we provide explicit upper and lower bounds on certain -widths, i.e., best constants in approximation. We further describe a numerical method to compute…
Sum-factorization techniques in Isogeometric Analysis
A. Bressan, S. Takacs
The fast assembling of stiffness and mass matrices is a key issue in isogeometric analysis, particularly if the spline degree is increased. We present two algorithms based on the i…
Approximation in FEM, DG and IGA: A Theoretical Comparison
Andrea Bressan, Espen Sande
In this paper we compare approximation properties of degree spline spaces with different numbers of continuous derivatives. We prove that, for a given space dimension, $\smooth…
Local approximation operators on box meshes
Andrea Bressan, Tom Lyche
This paper analyzes the approximation properties of spaces of piece-wise tensor product polynomials over box meshes with a focus on application to IsoGeometric Analysis (IGA). The…