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Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow

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 Navier-Stokes equations. The variational approximation is based on computing a certain weighted average of a finite element approximation to the solution of the Navier-Stokes 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 residua...

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Publisher:
SIAM
Publication date:
1997-04-01
UUID:
uuid:402c45e6-a868-4977-ba3f-fb59d9fa8af3
Local pid:
oai:eprints.maths.ox.ac.uk:1317
Deposit date:
2011-06-09

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