07-46
Stabilization by local projection. Convection-diffusion and incompressible flow problems
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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