A CURIOUS PROPERTY OF OSCILLATORY FEM SOLUTIONS OF ONE-DIMENSIONAL CONVECTION-DIFFUSION PROBLEMS

被引:0
|
作者
Madden, Niall [1 ]
Stynes, Martin [2 ]
机构
[1] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[2] Natl Univ Ireland, Dept Math, Cork, Ireland
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D O I
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Song, Yin and Zhang (Int. J. Numer. Anal. Model. 4: 127-140, 2007) discovered a remarkable property of oscillatory finite element solutions of one-dimensional convection-diffusion problems that leads to a novel numerical method for the solution of such problems. In the present paper this property is described using several figures, then a simple proof of the phenomenon is given which is much more intuitive than the technical analysis of Song et al.
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页码:188 / 196
页数:9
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