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Stability of a streamline diffusion finite element method for turning point problems

✍ Scribed by Long Chen; Yonggang Wang; Jinbiao Wu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
195 KB
Volume
220
Category
Article
ISSN
0377-0427

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✦ Synopsis

A one-dimensional singularly perturbed problem with a boundary turning point is considered in this paper. Let V h be the linear finite element space on a suitable grid T h . A variant of streamline diffusion finite element method is proved to be almost uniform stable in the sense that the numerical approximation

where C is independent with the small diffusion coefficient and the mesh T h . Such stability result is applied to layer-adapted grids to obtain almost -uniform second order scheme for turning point problems.

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