A Priori and A Posteriori Error Estimations for the Dual Mixed Finite Element Method of the Navier-Stokes Problem

  title={A Priori and A Posteriori Error Estimations for the Dual Mixed Finite Element Method of the Navier-Stokes Problem},
  author={M. Farhloul and Serge Nicaise and L. Paquet},
This article is concerned with a dual mixed formulation of the Navier-Stokes system in a polygonal domain of the plane with Dirichlet boundary conditions and its numerical approximation. The gradient tensor, a quantity of practical interest, is introduced as a new unknown. The problem is then approximated by a mixed finite element method. Quasi-optimal a priori error estimates are obtained. These a priori error estimates, an abstract nonlinear theory (similar to (Verfürth, RAIRO Model Math Anal… CONTINUE READING

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