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

Songlin  Chen; Weigen  Hou; Xiaohui  Jiang

doi:10.4236/apm.2013.37085

Songlin Chen^*, Weigen Hou, Xiaohui Jiang

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.

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

Cite this paper: S. Chen, W. Hou and X. Jiang, "Finite Element Analysis for Singularly Perturbed Advection-Diffusion Robin Boundary Values Problem," Advances in Pure Mathematics, Vol. 3 No. 7, 2013, pp. 643-646. doi: 10.4236/apm.2013.37085.

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