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Journal of Scientific Computing

, Volume 43, Issue 3, pp 326–342 | Cite as

Stabilization by Local Projection for Convection–Diffusion and Incompressible Flow Problems

  • Sashikumaar Ganesan
  • Lutz Tobiska
Article

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

Convection–diffusion equations Incompressible flows Local projection stabilization Finite elements Boundary layers 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Institute for Analysis and Computational Mathematics, Department of MathematicsOtto von Guericke UniversityMagdeburgGermany

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