Richter, Thomas
Preview |
PDF, English
Download (1MB) | Terms of use |
Citation of documents: Please do not cite the URL that is displayed in your browser location input, instead use the DOI, URN or the persistent URL below, as we can guarantee their long-time accessibility.
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.
Document type: | Preprint |
---|---|
Date Deposited: | 12 Jul 2011 07:54 |
Date: | 2011 |
Faculties / Institutes: | The Faculty of Mathematics and Computer Science > Institut für Mathematik |
DDC-classification: | 510 Mathematics |
Uncontrolled Keywords: | Finite Elemente , Adaptivität , Fluid-Struktur Wechselwirkungsproblemefinite elements , fluid-structure interaction , error estimation , goal oriented |