The local discontinuous Galerkin method for the Oseen equations
Bernardo Cockburn,
Guido Kanschat, Dominik Schötzau
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 L2- 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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