Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction

@article{Bukac2016StabilityAC,
  title={Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction},
  author={Martina Bukac and Boris Muha},
  journal={SIAM J. Numerical Analysis},
  year={2016},
  volume={54},
  pages={3032-3061}
}
Abstract. In this work we analyze the stability and convergence properties of a loosely-coupled scheme, called the kinematically coupled scheme, and its extensions for the interaction between an incompressible, viscous fluid and a thin, elastic structure. We consider a benchmark problem where the structure is modeled using a general thin structure model, and the coupling between the fluid and structure is linear. We derive the energy estimates associated with the unconditional stability of an… CONTINUE READING

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