LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION

摘要/Abstract

摘要：

Allen and Liu (1995) introduced a new method for a time-dependent convec-tion dominated diffusion problem, which combines the modified method of characteristics and method of streamline diffusion. But they ignored the fact that the accuracy of time discretization decays at half an order when the characteristic line goes out of the domain. In present paper, the author shows that, as a remedy, a simple lumped scheme yields a full
accuracy approximation. Forthermore, some local error bounds independent of the small viscosity are derived for this scheme outside the boundary layers.

关键词: Convection dominated, method of characteristics, streamline diffusion, local error estimates

Abstract:

Key words: Convection dominated, method of characteristics, streamline diffusion, local error estimates

中图分类号:

65N30

岳兴业. LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION[J]. 数学物理学报(英文版), 2002, 22(4): 464-576.

YUE Xin-Ye. LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION[J]. Acta mathematica scientia,Series B, 2002, 22(4): 464-576.

参考文献

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