%0 Generic
%A Richter, Thomas
%D 2012
%F heidok:13214
%K fluid-structure interaction , DWR , goal-oriented error estimation , adaptive finite elements , ALE
%R 10.11588/heidok.00013214
%T Goal-oriented error estimation for fluid-structure interaction problems
%U https://archiv.ub.uni-heidelberg.de/volltextserver/13214/
%X In this work, we present an adaptive finite element method for the numerical simulation of stationary fluid-structure interaction problems. The coupled system is given in a variational and monolithic Arbitrary Lagrangian Eulerian framework. We derive methods for goal-oriented error estimation and mesh adaptation with the dual weighted residual method. Key to applying this error estimator is the underlying canonic variational formulation of the fluid-structure interaction problem by mapping the flow problem to ALE coordinates. The developed method is applied to two and three dimensional stationary benchmark problems coupling the incompressible Navier-Stokes equations with a nonlinear hyper-elastic material law.