FERNÁNDEZ , Miguel Angel

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...

This report aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. We provide a method which characteristic lies in the use of exact cross jacobians evaluation involving the shape derivative of the fluid state with respect to...

This paper aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. We provide a method which characteristic lies in the use of exact cross Jacobians evaluation involving the shape derivative of the fluid state with respect to...

This report aims at introducing a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. We provide a method which characteristic lies in the use of exact cross jacobians evaluation involving the shape derivative of the fluid state with respect to...

In this Note, we introduce a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid-structure interaction problems. The originality of this Schur-Newton algorithm lies in the exact Jacobians evaluation involving the fluid-structure linearized subsystems which are here fully developed.

This Note deals with problems arising in the sensivity analysis for fluid-structure interaction systems. Our model consists of a fluid described by the Navier-Stokes equations interacting with a solid under large deformations. We show how to obtain the linearized problem satisfied by the derivative of the state variable with respect to a given...