An adaptive strategy for solving convection dominated diffusion equation

In this work, an adaptive element free Galerkin (EFG) technique is proposed for solving convection diffusion equation. A post-processed gradient is used as a posteriori error estimation to find locations with large contribution of the error. Also, to avoid instabilities, the EFG method is applied on a modified equation instead of the original equation. In the modified equation diffusion coefficient (known as artificial diffusion) depends to the distance between nodal points. The numerical results reveal efficiency of the adaptive technique.