| LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION |
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| 作者姓名： | 岳兴业 |
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| 作者单位： | Yue Xingye Department of Mathematics，Suzhou University，Suzhou 215006，China |
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| 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.
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| 收稿时间： | 25 January 1999 |
LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION |
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| Yue Xingye.LOCAL ERROR ESTIMATES FOR METHODS OF CHARACTERISTICS INCORPORATING STREAMLINE DIFFUSION[J].Acta Mathematica Scientia,2002,22(4):564-576. |
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| Authors: | Yue Xingye |
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| Institution: | Yue Xingye Department of Mathematics,Suzhou University,Suzhou 215006,China |
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| Abstract: | Allen and Liu (1995) introduced a new method for a time-dependent convection 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. |
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| Keywords: | Convection dominated method of characteristics streamline diffusion local error estimates |
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