Journal article

Sensitivity analysis for an incompressible aeroelastic system

This paper deals with problems arising in the sensitivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the incompressible Navier-Stokes equations interacting with a solid under large deformations. We obtain a linearized problem which allow us to compute the derivative of the state variable with respect to a given boundary parameter. We use a particular definition of the first order correction for the perturbed state and consider a weak arbitrary Euler-Lagrange formulation for the coupled system.


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