Article citationsMore>>

M. Stynes and L. Tobiska, “The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy,” SIAM Journal on Numerical Analysis, Vol. 41, No. 5, 2003, pp. 1620-1642.

has been cited by the following article:

• TITLE: Finite Element Analysis for Singularly Perturbed Advection-Diffusion Robin Boundary Values Problem

  AUTHORS: Songlin Chen, Weigen Hou, Xiaohui Jiang

  KEYWORDS: Singular Perturbation; Advection-Diffusion; Robin BVP; Finite Element Method; Shishkin Mesh; Error Estimation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.7, October 28, 2013

  ABSTRACT: A singularly perturbed advection-diffusion two-point Robin boundary value problem whose solution has a single boundary layer is considered. Based on the piecewise linear polynomial approximation, the finite element method is applied to the problem. Estimation of the error between solution and the finite element approximation is given in energy norm on shishkin-type mesh.