Characteristics weak galerkin finite element methods for convection-dominated diffusion problems

Abstract

The weak Galerkin finite element method is combined with the method of characteristics to treat the convection-diffusion problems on the triangular mesh. The optimal order error estimates in H 1 and L 2 norms are derived for the corresponding characteristics weak Galerkin finite element procedure. Numerical tests are performed and reported. © 2014 Ailing Zhu et al.