| Stokes问题的非协调广义差分法 |
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| 引用本文： | 王申林.Stokes问题的非协调广义差分法[J].计算物理,1993,10(2):129-136. |
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| 作者姓名： | 王申林 |
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| 作者单位： | 山东大学数学系, 济南 250100 |
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| 摘 要： | 本文提出解Stokes问题的非协调广义差分法,速度用不连续分片线性函数逼近,压力用分片常数函数逼近。速度近似按‖.‖h模,压力近似按L2模都具有最优的逼近阶误差估计。本文还给出了数值计算结果。
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| 关 键 词： | Stokes问题 非协调元 广义差分法 |
| 收稿时间： | 1991-05-19 |
| 修稿时间： | 1992-08-13 |
A GENERALIZED DIFFERENCE APPROXIMATION OFSTOKES EQUATIONS USING NONCONFORMING ELEMENTS |
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| Wang Shenlin.A GENERALIZED DIFFERENCE APPROXIMATION OFSTOKES EQUATIONS USING NONCONFORMING ELEMENTS[J].Chinese Journal of Computational Physics,1993,10(2):129-136. |
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| Authors: | Wang Shenlin |
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| Institution: | Department of Mathematics, Shandong University |
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| Abstract: | A nonconforming generlized difference approximation for solving Stokes equations, in 2-dimension is proposed with triangular element mesh method. The subspace of velocity field is formed by piecewise-linear functions, the subspace of pressure and those of test functions are formed by precewise constant functions.Error estimates for this approximation in both velocity and pressure are also given wtih showing optimal approximate order. |
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| Keywords: | Stokes problem nonconforming element gereralized difference method |
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