A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem
Numerical Analysis
2021-11-11 v1
Abstract
We consider a pressure-stabilized Lagrange-Galerkin scheme for the transient Oseen problem with small viscosity. In the scheme we use the equal-order approximation of order for both the velocity and pressure, and add a symmetric pressure stabilization term. We show an error estimate for the velocity with a constant independent of the viscosity if the exact solution is sufficiently smooth. Numerical examples show high accuracy of the scheme for problems with small viscosity.
Keywords
Cite
@article{arxiv.1712.04150,
title = {A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem},
author = {Shinya Uchiumi},
journal= {arXiv preprint arXiv:1712.04150},
year = {2021}
}