Numerical resolution of optimal control problem for the in-stationary Navier–Stokes equations-Reference-Cited by-同舟云学术

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

Published:2019-02-01 Issue:1 Volume:27 Page:43-52
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
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Author:

Satouri Jamil

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2016-0084/pdf

Reference28 articles.

1. Finite-dimensional approximation of nonlinear problems. I. Branches of nonsingular solutions;Numer. Math.,1980/81

2. On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints;ESAIM Control Optim. Calc. Var.,2009

3. On non-linear partial differential equations;Lecture Series of the Symposium on Partial Differential Equations,1957

4. An analysis of upwind schemes for the Navier–Stokes equations;SIAM J. Numer. Anal.,1982

5. Spectral discretization of the Navier–Stokes equations coupled with the heat equation;ESAIM Math. Model. Numer. Anal.,2015

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