Article citationsMore>>

John, V. and Knobloch, P. (2008) On Spurious Oscillations at Layers Diminishing (SOLD) Methods for Convection-Diffusion Equations: Part II—Analysis for P1 and Q1 Finite Elements. Computer Methods in Applied Mechanics and Engineering, 197, 1997-2014.
http://dx.doi.org/10.1016/j.cma.2007.12.019

has been cited by the following article:

• 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.