Local projection stabilisation for the Oseen problem and its interpretation as a variational multiscale method

Braack, M and Burman, E (2006) Local projection stabilisation for the Oseen problem and its interpretation as a variational multiscale method. SIAM Journal on Numerical Analysis, 43 (6). pp. 2544-2566. ISSN 0036-1429

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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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Erik Burman
Date Deposited: 06 Feb 2012 18:51
Last Modified: 03 Apr 2012 14:10
URI: http://sro.sussex.ac.uk/id/eprint/18668
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