Giles, M. B. and Larson, M. and Levenstam, M. and Suli, Endre (1997) Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow. Technical Report. SIAM. (Submitted)

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Abstract
We derive estimates for the error in a variational approximation of the lift and drag coefficients of a body immersed into a viscous flow governed by the NavierStokes equations. The variational approximation is based on computing a certain weighted average of a finite element approximation to the solution of the NavierStokes equations. Our main result is an a posteriori estimate that puts a bound on the error in the lift and drag coefficients in terms of the local mesh size, a local residual quantity, and a local weight describing the local stability properties of an associated dual problem. The weight may be approximated by solving the dual problem numerically. The error bound is thus computable and can be used for quantitative error estimation; we apply it to design an adaptive finite element algorithm specifically for the approximation of the lift and drag coefficients.
Item Type:  Technical Report (Technical Report) 

Subjects:  H  N > Numerical analysis 
Research Groups:  Numerical Analysis Group 
ID Code:  1317 
Deposited By:  Lotti Ekert 
Deposited On:  09 Jun 2011 07:22 
Last Modified:  29 May 2015 19:00 
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