| NONCONFORMING FINITE ELEMENT PENALTY METHOD FOR STOKES EQUATION |
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| 作者姓名： | SHIDONGYANG |
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| 作者单位： | DepartmentofApp｜iedMathematics,Xi＇anJiaotongUniversity,Xi＇an710049. |
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| 摘 要： | a special penalty method is presented to improve the accuracy of the standard penaltymethod (or solving Stokes equation with nonconforming finite element, It is shown that thismethod with a larger penalty parameter can achieve the same accuracy as the staodaxd methodwith a smaller penalty parameter. The convergence rate of the standard method is just hall order of this penalty method when using the same penalty parameter, while the extrapolationmethod proposed by Faik et al can not yield so high accuracy of convergence. At last, we alsoget the super-convergence estimates for total flux.
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| 关 键 词： | 不相容有限元 罚函数法 斯托克斯方程 高阶偏微分 |
| 收稿时间： | 14 October 1996 |
Nonconforming finite element penalty method for stokes equation |
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| SHIDONGYANG.NONCONFORMING FINITE ELEMENT PENALTY METHOD FOR STOKES EQUATION[J].Applied Mathematics A Journal of Chinese Universities,1998,13(1):53-58. |
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| Authors: | Shi DongYang Feng Weibing Li Kaitai |
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| Institution: | (1) Department of Applied Mathematics, Xi’an Jiaotong University, 710049 Xi’an |
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| Abstract: | a special penalty method is presented to improve the accuracy of the standard penalty method for solving Stokes equation with nonconforming finite element.It is shown that this method with a larger penalty parameter can achieve the same accuracy as the standard method with a smaller penalty parameter. The convergence rate of the standard method is just half order of this penalty method when using the same penalty parameter, while the extrapolation method proposed by Faik et al can not yield so high accuracy of convergence.At last, we also get the super convergence estimates for total flux. Received October 14, 1996 1991 MR Subject Classification: 65N30. |
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| Keywords: | Special method Stokes equation standard method |
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