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20112024
most citedA mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations

79 citations · 295 across the 22 of their papers we have counts for

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Showing 2012 · math.NAShow all

3 papers · 2 filters

math.NA2012★ 6 cited

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…

math.NA2012★ 8 cited

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…

math.NA2012★ 47 cited

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…