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A stabilized non-conforming finite element method for incompressible flow

Erik Burman ; Peter Hansbo (Institutionen för tillämpad mekanik, Beräkningsteknik)
Computer Methods in Applied Mechanics and Engineering Vol. 195 (2006), 23-24, p. 2881-2899.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Stabilized methods, Finite element, Crouzeix–Raviart, Non-conforming, Interior penalty, Incompressible flow

Denna post skapades 2007-01-09.
CPL Pubid: 19886


Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Beräkningsteknik (2005-2006)


Numerisk analys

Chalmers infrastruktur