TITLE:
Adaptive Finite Element Method for Steady Convection-Diffusion Equation
AUTHORS:
Gelaw Temesgen Mekuria, Jakkula Anand Rao
KEYWORDS:
Convection-Diffusion Problem, Streamline Diffusion Finite Element Method, Boundary and Interior Layers, A Posteriori Error Estimators, Adaptive Mesh Refinement
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.3,
September
30,
2016
ABSTRACT: This
paper examines the numerical solution of the convection-diffusion equation in
2-D. The solution of this equation possesses singularities in the form of
boundary or interior layers due to non-smooth boundary conditions. To overcome
such singularities arising from these critical regions, the adaptive finite
element method is employed. This scheme is based on the streamline diffusion
method combined with Neumann-type posteriori estimator. The effectiveness of
this approach is illustrated by different examples with several numerical
experiments.