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2011.44: Unstable modes of the Q1-P0 element

2011.44: David Griffiths and David Silvester (2011) Unstable modes of the Q1-P0 element.

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Abstract

In this paper the unstable eigenmodes of Q1-P0 velocity/pressure finite element approximation for incompressible flow problems are characterised. It is shown that the inf-sup stability constant is $O(h)$ in two dimensions and $O(h^2)$ in three dimensions. The basic tool in the analysis is the method of modified equations which is applied to finite difference representations of the underlying finite element equations. The asymptotic estimates are confirmed and supplemented by numerical experiments.

Item Type:MIMS Preprint
Additional Information:

This item originally appeared as MCCM Report 257 in 1994.

Subjects:MSC 2000 > 35 Partial differential equations
MSC 2000 > 65 Numerical analysis
MIMS number:2011.44
Deposited By:professor david silvester
Deposited On:16 June 2011

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