Deparis, SimoneFernández, Miguel AngelFormaggia, LucaNobile, Fabio2007-12-132007-12-132007-12-13200310.1016/S1631-0721(03)00119-0https://infoscience.epfl.ch/handle/20.500.14299/15596WOS:0001853880000014275In this work, we address the numerical solution of some non-linear problems arising in the time discretization of fluid–structure interaction problems with fully implicit schemes. At each time step, we have to solve a highly non-linear coupled system, since the fluid domain depends on the unknown displacement of the structure. We propose a modified fixed-point algorithm which combines the Block-Gauss–Seidel iterations with a transpiration formulation. Numerical experiments show the great improvement in computing time with respect to the standard method.Computational fluid mechanicsFluid–structure interactionBlock-Gauss–Seidel iterationsTranspirationHighly coupled non-linear problemsWeak and strong coupling algorithmsPartitioned proceduresModified fixed point algorithm in fluid–structure interactiontext::journal::journal article::research article