60 citations · 60 across the 2 of their papers we have counts for
5 papers
Higher-order compatible discretization on hexahedrals
Jasper Kreeft, Marc Gerritsma
We derive a compatible discretization method that relies heavily on the underlying geometric structure, and obeys the topological sequences and commuting properties that are constr…
Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
Artur Palha, Pedro Pinto Rebelo, René Hiemstra +2
This paper introduces the basic concepts for physics-compatible discretization techniques. The paper gives a clear distinction between vectors and forms. Based on the difference be…
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…
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…
Mimetic framework on curvilinear quadrilaterals of arbitrary order
Jasper Kreeft, Artur Palha, Marc Gerritsma
In this paper higher order mimetic discretizations are introduced which are firmly rooted in the geometry in which the variables are defined. The paper shows how basic constructs i…