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

12 Dec 2017  ·  Uchiumi Shinya ·

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. read more

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Numerical Analysis