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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