| 一种无奇异积分的边界单元法 |
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| 引用本文： | 张伟星. 一种无奇异积分的边界单元法[J]. 工程力学, 1992, 9(2): 91-98 |
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| 作者姓名： | 张伟星 |
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| 作者单位： | 合肥工业大学建筑工程系 |
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| 摘 要： | 处理基本解的奇异性是边界单元法的难题之一。本文避开奇异基本解,用非奇异基本解建立边界积分方程。非奇异基本解取自齐次微分方程的一般解和完备系,使求解边界积分方程容易。文中对边界未知量采用样条插值函数,计算精度良好。
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| 关 键 词： | 奇异性 基本解 完备系 齐次微分方程 样条插值 |
A BOUNDARY ELEMENT METHOD WITHOUT SINGULAR INTEGRATION |
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| Zhang Weixing. A BOUNDARY ELEMENT METHOD WITHOUT SINGULAR INTEGRATION[J]. Engineering Mechanics, 1992, 9(2): 91-98 |
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| Authors: | Zhang Weixing |
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| Affiliation: | Hefei Polytechnical Univ. |
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| Abstract: | One of the defficult problem for boundary element method is to deal with the singularity of foundamental solution. In this paper, the singular foundamental solution is avoided and a boundary integral equation is set up by applying non-singular foundamental solution. The nonsingular foundamental solution is obtained from the general solution and complete system of homogeneous differential equation and the solution of the boundary integral equation becomes easier. Spline interpolation used for boundary unknown quantity makes the calculation in good precision. |
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| Keywords: | singularity foundamental solution complete sysetem homogeneous differential equation |
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