Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations

12/07/2021

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by   Rami Masri, et al.

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The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are derived for the velocity in the L^2 norm in time and in space. Error bounds for the discrete time derivative of the velocity and for the pressure are also established.