Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters
2015 ◽
Vol 7
(2)
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pp. 196-206
Keyword(s):
A Priori
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AbstractIn this paper, we consider a singularly perturbed convection-diffusion problem. The problem involves two small parameters that gives rise to two boundary layers at two endpoints of the domain. For this problem, a non-monotone finite element methods is used. A priori error bound in the maximum norm is obtained. Based on the a priori error bound, we show that there exists Bakhvalov-type mesh that gives optimal error bound of (N−2) which is robust with respect to the two perturbation parameters. Numerical results are given that confirm the theoretical result.
2003 ◽
Vol 3
(3)
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pp. 443-458
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Keyword(s):
2013 ◽
Vol 66
(6)
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pp. 996-1009
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Keyword(s):
2017 ◽
Vol 10
(1)
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pp. 44-64
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2003 ◽
Vol 41
(5)
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pp. 1620-1642
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Keyword(s):
2004 ◽
Vol 82
(1)
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pp. 101-117
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