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Goal-oriented error estimation for fluid-structure interaction problems

Richter, Thomas

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Abstract

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.

Item Type: Preprint
Date Deposited: 12 Jul 2011 07:54
Date: 2011
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Uncontrolled Keywords: Finite Elemente , Adaptivität , Fluid-Struktur Wechselwirkungsproblemefinite elements , fluid-structure interaction , error estimation , goal oriented
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