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Numerical resolution of optimal control problem for the in-stationary Navier–Stokes equations
Journal article   Peer reviewed

Numerical resolution of optimal control problem for the in-stationary Navier–Stokes equations

Jamil Satouri
Journal of inverse and ill-posed problems, Vol.27(1), pp.43-52
01/02/2019
DOI: https://doi.org/10.1515/jiip-2016-0084

Abstract

49K20 76D05 finite elements method, optimization Navier–Stokes equations Optimal control spectral method tertiary 65J15
In this paper we present a study of optimal control problem for the unsteady Navier–Stokes equations. We discuss the existence of the solution, adopt a new numerical resolution for this problem and combine Euler explicit scheme in time and both of methods spectral and finite elements in space. Finally, we give some numerical results proving the effectiveness of our approach.

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