Abstract: We propose a general variational framework for the adaptive finite element approximation of fluid-structure interaction problems. The modeling is based on an Eulerian description of the (incompressible) fluid as well as the (elastic) structure dynamics. In this approach, the deformation appears as primary variable in an Eulerian framework. Based on this monolithic model of the fluid-structure interaction, we apply the dual weighted residual method for goal-oriented a posteriori error estimation and mesh adaptation to fluid-structure interaction problems. Numerical results for stationary as well as non-stationary test examples are presented.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.