8 papers · 1 filter
On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
Espen Sande, Timo Koch, Miroslav Kuchta +1
We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio.…
On the prospects of interpolatory spline bases for accurate mass lumping strategies in isogeometric analysis
Yannis Voet, Espen Sande
While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of…
Mass lumping and stabilization for immersogeometric analysis
Yannis Voet, Espen Sande, Annalisa Buffa
Trimmed (multi-patch) geometries are the state-of-the-art technology in computer-aided design for industrial applications such as automobile crashworthiness. In this context, fast…
A theoretical analysis of mass scaling techniques
Yannis Voet, Espen Sande, Annalisa Buffa
Mass scaling is widely used in finite element models of structural dynamics for increasing the critical time step of explicit time integration methods. While the field has been flo…
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…
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…