Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations
Numerical Analysis
2021-12-08 v1 Numerical Analysis
Abstract
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 norm in time and in space. Error bounds for the discrete time derivative of the velocity and for the pressure are also established.
Keywords
Cite
@article{arxiv.2112.03903,
title = {Improved a priori error estimates for a discontinuous Galerkin pressure correction scheme for the Navier-Stokes equations},
author = {Rami Masri and Chen Liu and Beatrice Riviere},
journal= {arXiv preprint arXiv:2112.03903},
year = {2021}
}