Numerical approximation of an optimal control problem associated with the Navier-Stokes equations
type: Item
instance of: scholarly article
title: Numerical approximation of an optimal control problem associated with the Navier-Stokes equations
zbMATH Open document ID: 0727.49016
DOI: 10.1016/0893-9659(89)90110-9
author: Max Gunzburger
author: Thomas P. Svobodny
author: Lisheng Hou
published in: Applied Mathematics Letters
publication date: 1989-01-01T00:00:00Z
review text: The control problem consists of minimizing the cost \[ J(g)=\int_{\Omega}| u-u_ 0|^ 2+\int_{\Gamma}| g|^ 2 \] where the dynamics are given by the Navier-Stokes problem: -v \(\Delta u+(u\cdot \nabla)u+\nabla p=0\), \(\nabla \cdot u=0\), \(- pn+v(\nabla u+\nabla u^ T)n=g\) on \(\Gamma\). The problem is discussed from a numerical point of view using finite element approximations for the weak formulation of the dynamics.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 4201021
zbMATH Keywords: Navier-Stokes problem
zbMATH Keywords: finite element approximations
MaRDI profile type: Publication
full work available at URL: 0893-9659(89)90110-9
OpenAlex ID: W1980732433
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Q3861771
description: scientific article; zbMATH DE number 4201021