Convergence of a Lagrange – Galerkin method for a fluid-rigid body system in ALE formulation

@inproceedings{Legendre2008ConvergenceOA,
  title={Convergence of a Lagrange – Galerkin method for a fluid-rigid body system in ALE formulation},
  author={G. Legendre and Tak{\'e}o Takahashi},
  year={2008}
}
We propose a numerical scheme to compute the motion of a two-dimensional rigid body in a viscous fluid. Our method combines the method of characteristics with a finite element approximation to solve an ALE formulation of the problem. We derive error estimates implying the convergence of the scheme. 1991 Mathematics Subject Classification. 35Q30, 65M12, 76D05, 76M10. 
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