一维有限元的h-p方法的后验误差估计 |
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引用本文: | 邹军,黄鸿慈.一维有限元的h-p方法的后验误差估计[J].计算数学,1990,12(3):302-317. |
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作者姓名: | 邹军 黄鸿慈 |
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作者单位: | 中国科学院计算中心
,中国科学院计算中心 |
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摘 要: | 有限元的h-p方法,是指在增加有限元空间的维数时,既加密某些单元的网格,同时也增加某些单元的次数.对h-p方法,人们希望得到O(h~mp~(-n))(m,n>0)形状的误差估计.这种误差估计的结果包括了对传统的h方法以及p方法的结果.关于h-p方法的
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关 键 词: | 有限元 h-p方法 后验误差估计 |
A POSTERIORI ERROR ESTIMATES FOR THE h-p VERSION OF THE FINITE ELEMENT METHOD FOR 1-D PROBLEMS |
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Institution: | Zou Jun;Huang Hong-ci Computing Center. Academia Sinica |
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Abstract: | In this paper, the error estimates for the h-p version of the finite element method for one-dimensional elliptic problems are discussed, and the upper and lower bounds of the true energywith the same order with respect to h or p are obtained. These bounds can be expressed interms of the coefficients and the right side function and the true solution of the problem. Onthe basis of bounds, a posteriori error estimates for the problem are provided. The numericalresults show that the estimates given here are satisfactory and reliable. |
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