| 一种混合三角形有限元方法 |
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| 引用本文： | 杜小娟,张存华.一种混合三角形有限元方法[J].甘肃科学学报,2014(4):29-31. |
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| 作者姓名： | 杜小娟 张存华 |
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| 作者单位： | 兰州交通大学数理学院,甘肃兰州730070 |
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| 基金项目： | 甘肃省自然科学基金资助（1212RJZA065） |
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| 摘 要： | 对二维区域Ω进行三角形和曲边三角形两种单元剖分,在此基础上构造试探函数空间,提出了一种快速计算其刚度矩阵的方法,并在最后进行了数值误差图像模拟.使得数值解的误差一般在10-4以内,从而很好地逼近到偏微分方程的精确解.
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| 关 键 词： | 混合型三角形 曲边三角形 有限元 刚度矩阵 |
A Mixed Triangular Finite Element Method |
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| DU Xiao-juan,ZHANG Cun-hua.A Mixed Triangular Finite Element Method[J].Journal of Gansu Sciences,2014(4):29-31. |
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| Authors: | DU Xiao-juan ZHANG Cun-hua |
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| Institution: | ( School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070,China) |
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| Abstract: | On the basis of the triangulation and curved triangulation of the two-dimensional area Ω, a trial function space was constructed. A faster method was developed to calculate the stiffness matrix and an image simulation of numerical error was conducted. Thus the error of the numerical solution was made to be generally within 10 providing a good approximation to the exact solution of partial differential equations. |
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| Keywords: | Mixed triangle Curved triangle Finite element Stiffness matrix |
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