07-46

Stabilization by local projection. Convection-diffusion and incompressible flow problems

by Ganesan, S.; Tobiska, L.

 

Preprint series: 07-46, Preprints

MSC:
65N12 Stability and convergence of numerical methods
76D05 Navier-Stokes equations, See also {35Q30}

 

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


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