A generalization of the local projection stabilization for convection-diffusion-reaction equations

Abstract

We introduce a generalization of the local projection stabilization for steady scalar convection-diffusion-reaction equations which allows us to use local projection spaces defined on overlapping sets.

Keywords

• finite element method
• convection-diffusion-reaction equation
• stabilization
• local projection
• stability
• inf-sup condition
• error estimates
• boundary layers