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Author:

Zhang, Yunzhang (Zhang, Yunzhang.) | Hou, Yanren (Hou, Yanren.)

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Scopus SCOPUS

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.

Keyword:

A posteriori error estimates Coriolis force Error indicator Finite element Fully discrete approximations Navier-stokes equations

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Source :

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

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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