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Abstract:
We present a posteriori error analysis for the unsteady Navier-Stokes equations with the coriolic force. Our analysis covers the Galerkin finite element approximation in space and the Euler full-implicit scheme in time. This scheme is implicit for the linear and nonlinear terms. For the discretization, we propose and analyse two types of error indica- tors, with one being for the time discretization and the other for the space discretization. Finally, we prove the equivalence between the sum of the two types of error indicators and the full error, in order to work with adaptive time steps and finite element meshes. Copyright © 2011 Watam Press.
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Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
ISSN: 1492-8760
Year: 2011
Issue: 2
Volume: 18
Page: 229-244
0 . 1 9 3
JCR@2006
JCR Journal Grade:4
Cited Count:
WoS CC Cited Count: 2
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 1
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