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.