| 无穷凹角区域各向异性问题的自然边界元法 |
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| 引用本文： | 陈亚军,杜其奎.无穷凹角区域各向异性问题的自然边界元法[J].应用数学学报,2009,32(5). |
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| 作者姓名： | 陈亚军 杜其奎 |
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| 作者单位： | 南京师范大学数学科学学院,南京,210097 |
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| 摘 要： | 本文研究无穷凹角区域上一类各向异性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.
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| 关 键 词： | 无穷凹角区域 各向异性问题 自然边界元法 |
Natural Boundary Element Method for an Anisotropic Problem in an Infinite Domain with a Concave Angle |
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| CHEN YAJUN,DU QIKUI.Natural Boundary Element Method for an Anisotropic Problem in an Infinite Domain with a Concave Angle[J].Acta Mathematicae Applicatae Sinica,2009,32(5). |
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| Authors: | CHEN YAJUN DU QIKUI |
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| Abstract: | In this paper, we investigate the natural boundary element method for an anisotropic problem in an infinite domain with a concave angle. By the principle of the natural boundary reduction, we obtain the Poisson integral formula and the natural integral equation of this problem, and give the numerical method of the natural integral equation.Moreover, the convergence of the approximate solutions and their error estimates are ob-tained. Finally, some numerical examples are presented to show that our methods are effective. |
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| Keywords: | infinite domain with a concave angle anisotropic problem natural boundary element method |
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