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Finite Element Analysis for Singularly Perturbed Advection-Diffusion Robin Boundary Values Problem
School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
- 1 School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
- 2 School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
- 3 School of Mathematics and Physics, Anhui University of Technology, Ma’anshan, China
Advances in Pure Mathematics·Volume 03 (2013)·Pages 643–646·Published 17 October 2013·DOI10.4236/apm.2013.37085
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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.
KeywordsSingular PerturbationAdvection-DiffusionRobin BVPFinite Element MethodShishkin MeshError Estimation
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