Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem
2017 ◽
Vol 10
(1)
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pp. 44-64
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AbstractIn this paper, a bilinear Streamline-Diffusion finite element method on Bakhvalov-Shishkin mesh for singularly perturbed convection – diffusion problem is analyzed. The method is shown to be convergent uniformly in the perturbation parameter ∈ provided only that ∈ ≤ N–1. An convergent rate in a discrete streamline-diffusion norm is established under certain regularity assumptions. Finally, through numerical experiments, we verified the theoretical results.
1994 ◽
Vol 64
(1)
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pp. 129-140
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2003 ◽
Vol 3
(3)
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pp. 443-458
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2001 ◽
Vol 11
(02)
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pp. 301-337
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Keyword(s):
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