Abstract and Applied Analysis (Jan 2014)
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 H1 and L2 norms are derived for the corresponding characteristics weak Galerkin finite element procedure. Numerical tests are performed and reported.