Goal-oriented error estimation for fluid-structure interaction problems
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 me...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 March 2012
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| In: |
Computer methods in applied mechanics and engineering
Year: 2012, Volume: 223-224, Pages: 28-42 |
| ISSN: | 1879-2138 |
| DOI: | 10.1016/j.cma.2012.02.014 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1016/j.cma.2012.02.014 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0045782512000564 
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| Author Notes: | Th. Richter |
| Summary: | 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. |
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| Item Description: | Gesehen am 01.06.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1879-2138 |
| DOI: | 10.1016/j.cma.2012.02.014 |