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Stabilization by local projecti

by Ganesan, S., Tobiska, L..

Series: 2007-46, Preprints

65N12 Stability and convergence of numerical methods
76D05 ~Navier-Stokes equations

We give a survey on recent developments of stabilization methods
based on local projection type. The considered class of problems covers
scalar convection-diffusion equations, the Stokes problem and
the linearized Navier-Stokes equations. A new link of local projection to the
streamline diffusion method is shown. Numerical tests for different type of
boundary layers arising in convection-diffusion problems illustrate the
stabilizing properties of the method.

Local projection stabilization, convection-diffusion equation, Navier-Stokes equation