The local discontinuous Galerkin method for the Oseen equations

Cockburn, Bernardo; Kanschat, Guido; Schötzau, Dominik

doi:10.1090/S0025-5718-03-01552-7

The local discontinuous Galerkin method for the Oseen equations
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by Bernardo Cockburn, Guido Kanschat and Dominik Schötzau;

Math. Comp. 73 (2004), 569-593

DOI: https://doi.org/10.1090/S0025-5718-03-01552-7

Published electronically: May 21, 2003

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Abstract:

We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in $L^2$- and negative-order norms. Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.

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