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 fluid-structure interaction problems. The coupled system is formulated in a variational monolithic Arbitrary Lagrangian Eulerian framework. We derive methods for goal-oriented error estimation and mesh adaptation with the dual weighted residual method. Key to this error estimator is a Petrov-Galerkin approach for deriving the variational formulation of the coupled system. The developed method is applied to two and three dimensional stationary benchmark problems to demonstrate its efficiency. date: 2011 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/12187/1/main.pdf identifier: DOI:10.11588/heidok.00012187 identifier: urn:nbn:de:bsz:16-opus-121876 identifier: Richter, Thomas (2011) Goal-oriented error estimation for fluid-structure interaction problems. [Preprint] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/12187/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng