A monolithic one-velocity-field optimal control formulation for fluid–structure interaction problems with large solid deformation

In this article, we formulate a monolithic optimal control method for general time-dependent Fluid-Structure Interaction (FSI) systems with large solid deformation. We consider displacement-tracking type of objective constraint the velocity, tackle problems by piecewise-in-time control, cope displacement using one-velocity fictitious domain method, and solve fully-coupled FSI corresponding adjoint equations in manner. implement proposed open-source software package FreeFEM++ assess it three numerical experiments, aspects stability scheme different regularisation parameters, efficiency reducing function velocity.