On the application of local projection methods to convection-diffusion-reaction problems

Abstract

We apply the local projection stabilization to finite element discretizations of scalar convection-diffusion-reaction equations with mixed boundary conditions. We derive general error estimates and discuss the choice of the stabilization parameter.

Numerical results illustrate some drawbacks of the local projection stabilization in comparison to the SUPG method.

Keywords

• finite element method
• convection-diffusion-reaction equation
• stabilization
• local projection
• error estimates