2006.337: Fourier analysis of stabilised Q1-Q1 mixed finite element approximation
2006.337: Sean Norburn and David J. Silvester (2001) Fourier analysis of stabilised Q1-Q1 mixed finite element approximation. SIAM Journal on Numerical Analysis, 39 (3). pp. 817-833. ISSN 0036-1429
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DOI: 10.1137/S0036142999362274
Abstract
We use Fourier analysis to investigate the instability of an equal-order mixed finite element approximation method for elliptic incompressible flow equations. The lack of stability can be attributed to the fact that the associated discrete Ladyzhenskaya--Babuska--Brezzi (LBB) constant tends to zero as the mesh size is reduced. We develop a stabilization approach that is appropriate to the periodic setting and deduce optimal choices of the associated stabilization parameter.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | finite element; mixed approximation; stabilization |
| Subjects: | MSC 2000 > 65 Numerical analysis |
| MIMS number: | 2006.337 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 17 August 2006 |
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