Braack, M;
Burman, E;
(2006)
Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method.
SIAM Journal on Numerical Analysis
, 43
(6)
pp. 2544-2566.
10.1137/050631227.
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Abstract
We propose to apply the recently introduced local projection stabilization to the numerical computation of the Oseen equation at high Reynolds number. The discretization is done by nested finite element spaces. Using a priori error estimation techniques, we prove the convergence of the method. The a priori estimates are independent of the local Peclet number and give a sufficient condition for the size of the stabilization parameters in order to ensure optimality of the approximation when the exact solution is smooth. Moreover, we show how this method may be cast in the framework of variational multiscale methods. We indicate what modeling assumptions must be made to use the method for large eddy simulations.
| Type: | Article |
|---|---|
| Title: | Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1137/050631227 |
| Publisher version: | http://dx.doi.org/10.1137/050631227 |
| Language: | English |
| Additional information: | Copyright © 2006 Society for Industrial and Applied Mathematics |
| Keywords: | stabilized finite elements, Galerkin methods, multiscale |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1384718 |
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