Griffiths, David and Silvester, David (2011) Unstable modes of the Q1-P0 element. [MIMS Preprint]
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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 2010, the AMS's Mathematics Subject Classification > 35 Partial differential equations MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
| Depositing User: | professor david silvester |
| Date Deposited: | 16 Jun 2011 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1628 |
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