title: Goal-oriented error estimation for fluid-structure interaction problems
creator: Richter, Thomas
subject: ddc-510
subject: 510 Mathematics
description: 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. 
date: 2012
type: Preprint
type: info:eu-repo/semantics/preprint
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/13214/1/final_20.02.2012.pdf
identifier: DOI:10.11588/heidok.00013214
identifier: urn:nbn:de:bsz:16-opus-132144
identifier:   Richter, Thomas  (2012) Goal-oriented error estimation for fluid-structure interaction problems.  [Preprint]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/13214/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng