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椭圆外无穷扇形区域边值问题的自然边界元法(
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]
- 卷:
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第32卷
- 期数:
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2009年02期
- 页码:
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6-12
- 栏目:
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数学
- 出版日期:
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2009-06-30
文章信息/Info
- Title:
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Natural Boundary Element Method for Boundary Value Problem in an Exterior Elliptic Infinite Sector Domain
- 作者:
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陈亚军;杜其奎;
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南京师范大学数学科学学院, 江苏南京210097
- Author(s):
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Chen Yajun; Du Qikui
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School of Mathematical Science,Nanjing Normal University,Nanjing 210097,China
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- 关键词:
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- Keywords:
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- 分类号:
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O241.82
- 摘要:
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研究了椭圆外无穷扇形区域上调和方程边值问题的自然边界元法.利用自然边界归化原理,获得该问题的Poisson积分公式和自然积分方程,给出了自然积分方程的数值方法,以及逼近解的收敛性和误差估计,最后给出了数值例子,以示方法的可行性和有效性.
- Abstract:
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In th is paper, we investigate the natura l boundary e lem ent m ethod fo r the boundary v alue problem of harmon ic equation in an ex ter ior e lliptic infinite sector dom ain. By the princ ip le o f the na tura l boundary reduction, w e obtain the Po isson integral fo rmu la and the natura l integral equation of this prob lem, and g ive the num er ica lm ethod of the natural integ ra l equation. M oreove r, the converg ence of the approx im ate solutions and the ir error estima tes are obta ined. F ina-l ly, som e num er ica l examp les are presented to show that ourm ethods are effective.
更新日期/Last Update:
2013-04-23