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Subgrid scale eddy viscosity finite element method on optimal control of system governed by unsteady Oseen equations

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  • Gang Chen

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  • Minfu Feng

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Abstract

In this paper we focus on numerical analysis of finite element methods with stabilizations for the optimal control of system governed by unsteady Oseen equations. Using continuous equal-order finite elements for both velocities and pressure, two fully discrete schemes are proposed. Convective effects and pressure are stabilized by adding a subgrid scale eddy viscosity term and a pressure stabilized term. Convergence of the approximate solution is proved. A-Priori error estimates are obtained uniformly with Reynolds number, especially the $$L^2$$ L 2 -error estimates of numerical solution are independent of Reynolds number. The numerical experiments are shown to be consistent with our theoretical analysis. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Gang Chen & Minfu Feng, 2014. "Subgrid scale eddy viscosity finite element method on optimal control of system governed by unsteady Oseen equations," Computational Optimization and Applications, Springer, vol. 58(3), pages 679-705, July.
  • Handle: RePEc:spr:coopap:v:58:y:2014:i:3:p:679-705
    DOI: 10.1007/s10589-014-9649-9
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    1. repec:eee:apmaco:v:276:y:2016:i:c:p:127-142 is not listed on IDEAS

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