41 citations · 150 across the 13 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…
The optimal convergence rate of monotone schemes for conservation laws in the Wasserstein distance
Adrian Montgomery Ruf, Espen Sande, Susanne Solem
In 1994, Nessyahu, Tadmor and Tassa studied convergence rates of monotone finite volume approximations of conservation laws. For compactly supported, $\Lip^+$-bounded initial data…
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…
Poincaré path integrals for elasticity
Snorre H. Christiansen, Kaibo Hu, Espen Sande
We propose a general strategy to derive null-homotopy operators for differential complexes based on the Bernstein-Gelfand-Gelfand (BGG) construction and properties of the de Rham c…