The local discontinuous Galerkin method for the Oseen equations
Bernardo Cockburn, Guido Kanschat, Dominik Schötzau
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Source: Crossref
Published: May 21, 2003
DOI: 10.1090/s0025-5718-03-01552-7
Open original source ↗Source 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 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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