Author(s)

Ibrahima Mbaye

Department of Mathematics, University of Thies, Thies, Senegal.

The present paper presents a new method to solve fluid structure interaction problem. Our computational method is based on controllability approach. Given a target structural displacement we will find a control steering the displacement of the structure u to . We need to define a payoff functional (J): where u solves the structure equation for the control and is a fixed value. Our aim is to find a control which minimizes the payoff criterion. And therefore we find u the beam displacement, v the velocity of the fluid and p the pressure of the fluid.

Fluid Structure Interaction; Finite Elements Method; Controllability; BFGS Method

I. Mbaye, "Controllability Approach for a Fluid Structure Interaction Problem," Applied Mathematics, Vol. 3 No. 3, 2012, pp. 213-216. doi: 10.4236/am.2012.33034.