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Journal Articles Mathematical Models and Methods in Applied Sciences Year : 2002

Sensitivity analysis for an incompressible aeroelastic system

Abstract

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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Dates and versions

hal-00705119 , version 1 (06-06-2012)

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Miguel Angel Fernández, Marwan Moubachir. Sensitivity analysis for an incompressible aeroelastic system. Mathematical Models and Methods in Applied Sciences, 2002, 12 (8), pp.1109-1130. ⟨10.1142/S0218202502002094⟩. ⟨hal-00705119⟩
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