Optimal control finite element approximation for penalty variational formulation of threedimensional NavierStokes problem
Abstract
An optimal control finite element approximation of the penalization type for the solution of incompressible viscous NavierStokes equations is presented. This paper has proved the convergence of its minimizing sequence and the existence of the solution for the optimal control problem corresponding to the penalty variational problem of the NavierStokes equations. Based on this method and the conjugate gradient algorithm, the program for solving the threedimensional NavierStokes problem has been developed, and some numerical results have also been provided.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 January 1984
 DOI:
 10.1002/nme.1620200107
 Bibcode:
 1984IJNME..20...85L
 Keywords:

 Finite Element Method;
 NavierStokes Equation;
 Optimal Control;
 Penalty Function;
 Three Dimensional Flow;
 Algorithms;
 Approximation;
 Calculus Of Variations;
 Computational Fluid Dynamics;
 Conjugates;
 Incompressible Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer