A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem

  title={A Nitsche-Based Cut Finite Element Method for a Fluid--Structure Interaction Problem},
  author={Andr{\'e} Massing and Mats G. Larson and Anders Logg and Marie E. Rognes},
We present a new composite mesh finite element method for fluid-structure interaction problems. The method is based on surrounding the structure by a boundary-fitted fluid mesh that is embedded into a fixed background fluid mesh. The embedding allows for an arbitrary overlap of the fluid meshes. The coupling between the embedded and background fluid meshes is enforced using a stabilized Nitsche formulation that allows us to establish stability and optimal-order a priori error estimates. We… Expand

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