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math.NA2021
Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
Rami Masri, Chen Liu, Beatrice Riviere
The pressure correction scheme is combined with interior penalty discontinuous Galerkin method to solve the time-dependent Navier-Stokes equations. Optimal error estimates are deri…
math.NA2021
A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
Rami Masri, Chen Liu, Beatrice Riviere
A discontinuous Galerkin pressure correction numerical method for solving the incompressible Navier-Stokes equations is formulated and analyzed. We prove unconditional stability of…