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has been cited by the following article:
TITLE: Controllability Approach for a Fluid Structure Interaction Problem
AUTHORS: Ibrahima Mbaye
KEYWORDS: Fluid Structure Interaction; Finite Elements Method; Controllability; BFGS Method
JOURNAL NAME: Applied Mathematics, Vol.3 No.3, March 27, 2012
ABSTRACT: 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.