| 对Taylor-Galerkin有限元法的一点改进和它的应用 |
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| 引用本文： | 朱刚,谷传纲,胡庆康.对Taylor-Galerkin有限元法的一点改进和它的应用[J].应用数学和力学,1993,14(12):1115-1120. |
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| 作者姓名： | 朱刚 谷传纲 胡庆康 |
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| 作者单位： | 西安交通大学 |
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| 摘 要： | 本文针对Taylor-Galerkin有限元法的两个基本假设进行讨论.改进了原假设,仅以一个假设作为出发点,得到了广义的有限元离散公式.对具体流函数—涡量方程的求解进行了改进的Taylor-Galerkin有限元分析.提出了组合式的求解方法,使求解过程更为合理.算例计算表明,该方法的效果是很好的.
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| 关 键 词： | 假设 有限元 流函数 迭代 |
| 收稿时间： | 1992-05-08 |
A Modification of Taylor-Galerkin Finite Element Method and its Application |
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| Zhu: Gang Gu Chuan-gang Hu Qing-kang.A Modification of Taylor-Galerkin Finite Element Method and its Application[J].Applied Mathematics and Mechanics,1993,14(12):1115-1120. |
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| Authors: | Zhu: Gang Gu Chuan-gang Hu Qing-kang |
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| Institution: | Xi'an Jiaotong University, Xi'an |
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| Abstract: | Two basic Hypothesises of Tayior-Gaierkin finite element method are studied in this paper. One of them -which i.s unreasonable is redefined. The only "hypothesis becomes the s'.andpoiiU of generalized finite element. We use this idea to analyze stream fuu,i.ionequations with the modified Taylor-Galerkin finite element nv-thod, and.give ilw solving tne.lhpd, vyhicri makf.s the solving process more teasonaLlu than cv-biioie. Sjveral. eompulaLioEal examples reveal that the results of I hi.1-- new m:i.iiod is satisfied. |
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| Keywords: | hypothesis finite element method stream function iteration |
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