@article {Simula.simula.922,
	title = {An Adaptive Finite Element Method for Fluid-Structure Interaction},
	journal = {SIAM Journal on Scientific Computing},
	year = {2011},
	abstract = {In this paper, we present an adaptive finite element method for fully coupled, time-dependent fluid-structure interaction (FSI) problems based on a dual-weighted residual method. In order to fix concepts, the theory is presented in the context of a fluid that is modeled by the incompressible Navier-Stokes equations and a structure that is modeled by the (nonlinear) St. Venant-Kirchhoff model. We derive the associated dual problem and use it to construct an a posteriori error estimate for the fully coupled FSI problem. The primal FSI problem is solved using a partitioned algorithm in the Arbitrary Lagrangian-Eulerian (ALE) framework, while the dual problem is solved using a monolithic formulation on a fixed reference domain. An adaptive algorithm is presented for controlling the error in an output functional of interest by adaptively refining the mesh and adapting the time steps. A numerical example is presented which demonstrates good performance of the adaptive algorithm (as compared to uniform mesh refinement) and good quality of efficiency indices},
	author = {Selim, Kristoffer and Logg, Anders and Narayanan, Harish and Mats G. {Larson}}
}
