79 citations · 295 across the 22 of their papers we have counts for
4 papers · 1 filter
High order gradient, curl and divergence conforming spaces, with an application to NURBS-based IsoGeometric Analysis
R. R. Hiemstra, R. H. M. Huijsmans, M. I. Gerritsma
Conservation laws, in for example, electromagnetism, solid and fluid mechanics, allow an exact discrete representation in terms of line, surface and volume integrals. We develop hi…
A priori error estimates for compatible spectral discretization of the Stokes problem for all admissible boundary conditions
Jasper Kreeft, Marc Gerritsma
This paper describes the recently developed mixed mimetic spectral element method for the Stokes problem in the vorticity-velocity-pressure formulation. This compatible discretizat…
On Core and Curvature Corrections used in Straight-Line Vortex Filament Methods
Wim Van Hoydonck, Marc Gerritsma, Michel van Tooren
The convergence characteristics of two viscous core corrections as used in straight-line segmentation methods are rigorously analysed. These are \emph{curvature corrections} that a…
Mixed Mimetic Spectral Element Method for Stokes Flow: A Pointwise Divergence-Free Solution
Jasper Kreeft, Marc Gerritsma
In this paper we apply the recently developed mimetic discretization method to the mixed formulation of the Stokes problem in terms of vorticity, velocity and pressure. The mimetic…