Hybridized SUPG and Upwind numerical schemes for convection dominated diffusion problems

摘要

Hybridized numerical schemes for convection dominated diffusion equations are introduced. One is the upwind-penalty method (H-Upwind) and the other is the SUPG type method (H-SUPG). We provide stability analysis for both schemes and numerical experiments are presented to compare two suggested methods along with the standard SUPG finite element method.