Stokes问题的非协调广义差分法

计算物理 ›› 1993, Vol. 10 ›› Issue (2): 129-136.

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Stokes问题的非协调广义差分法

王申林

山东大学数学系, 济南 250100

收稿日期:1991-05-19 修回日期:1992-08-13 出版日期:1993-06-25 发布日期:1993-06-25

A GENERALIZED DIFFERENCE APPROXIMATION OFSTOKES EQUATIONS USING NONCONFORMING ELEMENTS

Wang Shenlin

Department of Mathematics, Shandong University

Received:1991-05-19 Revised:1992-08-13 Online:1993-06-25 Published:1993-06-25

摘要/Abstract

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。

关键词: Stokes问题, 非协调元, 广义差分法

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.

Key words: Stokes problem, nonconforming element, gereralized difference method

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.

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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Stokes问题的非协调广义差分法

A GENERALIZED DIFFERENCE APPROXIMATION OFSTOKES EQUATIONS USING NONCONFORMING ELEMENTS

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