A stabilized non-conforming finite element method for incompressible flow
Journal article, 2006

In this paper we extend the recently introduced edge stabilization method to the case of non-conforming finite element approximations of the linearized Navier–Stokes equation. To get stability also in the convective dominated regime we add a term giving L2-control of the jump in the gradient over element boundaries. An a priori error estimate that is uniform in the Reynolds number is proved and some numerical examples are presented.


Stabilized methods


Interior penalty

Incompressible flow

Finite element


Erik Burman

Peter F G Hansbo

Chalmers, Applied Mechanics, Computational Technology

Computer Methods in Applied Mechanics and Engineering

Vol. 195 23-24 2881-2899

Subject Categories

Computational Mathematics

Fluid Mechanics and Acoustics

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