| 速度—压力的Q2—Q1有限元 |
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| 引用本文： | 程晓良,江金生.速度—压力的Q2—Q1有限元[J].高校应用数学学报(A辑),1991,6(4):467-473. |
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| 作者姓名： | 程晓良 江金生 |
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| 作者单位： | 杭州大学数学系，杭州大学数学系 邮码 310028，邮码 310028 |
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| 摘 要： | 本文讨论了Stokes方程的Q_2-Q_1有限元,即速度空间采用双二次分片多项式插值,压力空间采用双一次分片多项式播值.在不满足经典的Babuska-Brezzi条件下,本注记进一步讨论了混合有限元方法和简化积分的罚方法,当解光滑性加强时,分别得到最优阶误差估计式|u-u_h|=O(h_2)及|u-u_h~2|_1=O(h~(2+)),改进了G.F.Carey,J.T.Oden等的结果.
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| 关 键 词： | 有限元 斯托克斯方程 误差估计 |
A NOTE ON THE BIQUADRATIC-BILINEAR VELOCITY-PRESSURE FINITE ELEMENT |
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| Cheng Xiaoliang Jiang Jinsheng.A NOTE ON THE BIQUADRATIC-BILINEAR VELOCITY-PRESSURE FINITE ELEMENT[J].Applied Mathematics A Journal of Chinese Universities,1991,6(4):467-473. |
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| Authors: | Cheng Xiaoliang Jiang Jinsheng |
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| Institution: | Hangzhou University |
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| Abstract: | In this note we discuss the biquadratic-bilinear velocity-pressure finite element for the Stokes e-quations. Although it does not satisfy the classical Babuska-Brezzi condition, we study further the mixed finite element method and reduced integration and penalty method. The optimal error estimates |u - uh|1 = 0(h2) and |u - uh|1 = 0(h2) can be obtained if the solution becomes moresmooth. And the results have been improved on G. F. Carey and J. T. Oden. |
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| Keywords: | Q_2-Q_1 element mixed finite element method reduced integration and penalty method optimal error estimate |
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