| 一种复杂多面体上三重积分的计算方法 |
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| 引用本文： | 李京梁,任传荣.一种复杂多面体上三重积分的计算方法[J].沈阳电力高等专科学校学报,2014(1):92-93,96. |
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| 作者姓名： | 李京梁 任传荣 |
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| 作者单位： | 江苏科技大学张家港校区基础部,江苏张家港215600 |
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| 摘 要： | 给出空间任意四面体、六面体及一种五面体到立方体C=-1,1]3的区域变换,将此三种区域变换结合区域分裂的思想,一种新的复杂多面体区域上三重积分的计算方法被提出来,该方法可有效地简化这类重积分的计算.
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| 关 键 词： | 三重积分 区域变换 区域分裂 |
A calculation method of triple integral on a complex polyhedron |
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| LI Jing-liang,REN Chuan-rong.A calculation method of triple integral on a complex polyhedron[J].Journal of Shenyang Electric Power Institute,2014(1):92-93,96. |
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| Authors: | LI Jing-liang REN Chuan-rong |
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| Affiliation: | (Department of Basic Courses,Zhangjiagang Campus,Jiangsu University of Science and Technology,Zhangjiagang 215600,Jiangsu Province) |
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| Abstract: | In light of the problem of complex integral area in multiple integral calculation, three domain transformations which can transform the triangular and quadrangular domain into the symmetrical square domain C = -1,1 ] × - 1,1 ] is presented. On the basis, a new method for triple integrals calculation is proposed. With this method, some triple integrals over any complex polygon domain can be solved more simply. |
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| Keywords: | Triple integral Domain transformation Domain division |
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