Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641965 | Journal of Computational and Applied Mathematics | 2008 | 13 Pages |
Abstract
A one-dimensional singularly perturbed problem with a boundary turning point is considered in this paper. Let VhVh be the linear finite element space on a suitable grid ThTh. A variant of streamline diffusion finite element method is proved to be almost uniform stable in the sense that the numerical approximation uhuh satisfies ∥u-uh∥∞⩽C|lnε|∥u-uh∥∞⩽C|lnε|infvh∈Vh∥u-vh∥∞,infvh∈Vh∥u-vh∥∞, where C is independent with the small diffusion coefficient εε and the mesh ThTh. Such stability result is applied to layer-adapted grids to obtain almost εε-uniform second order scheme for turning point problems.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Long Chen, Yonggang Wang, Jinbiao Wu,