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arXiv · 1712.04150

A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem

Shinya Uchiumi
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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 $k$ 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.

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Shinya Uchiumi. 2017-12-12. A viscosity-independent error estimate of a pressure-stabilized Lagrange-Galerkin scheme for the Oseen problem. https://doi.org/10.1007/s10915-019-00958-7

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