Zurück zu den Preprints des Jahres 2007


2007-46

Stabilization by local projecti

by Ganesan, S., Tobiska, L..


Series: 2007-46, Preprints

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

Abstract:
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.

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