IJAM: Volume 29, No. 3 (2016)

Abstract. The present numerical study deals with the stabilized finite element solution of the variable coefficient convection-diffusion equation. Basically, SUPG type stabilization terms is appended to standard Galerkin finite element formulation for the convection dominated and singularly perturbed boundary layer cases. The proposed stabilized finite element method enables to obtain stable solution and avoids oscillations. The algorithm is presented for different benchmark problems considered in 1-D and 2-D cases. Furthermore, the solutions show the accuracy of the proposed method.