| 三维边界积分方程中的奇异积分的处理 |
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| 引用本文： | 张秀珍.三维边界积分方程中的奇异积分的处理[J].装甲兵工程学院学报,2003,17(3):14-16. |
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| 作者姓名： | 张秀珍 |
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| 作者单位： | 装甲兵工程学院机械工程系,北京,100072 |
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| 摘 要： | 针对三维边界积分方程中奇异积分的不同形式分别进行了讨论,用刚体位移原理消除强奇异因子,用线性位移函数消除弱奇异因子,在计算工作量大大减少的情况下,保证了原求解精度的要求,并通过数值算例表明了该方法的可行性。
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| 关 键 词： | 奇异积分 极坐标变换 刚体位移 边界元 |
| 修稿时间： | 3003年3月24日 |
Singularity Integral Disposal for 3D-boundary Integral Equation |
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| ZHANG Xiu-zhen.Singularity Integral Disposal for 3D-boundary Integral Equation[J].Journal of Armored Force Engineering Institute,2003,17(3):14-16. |
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| Authors: | ZHANG Xiu-zhen |
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| Institution: | ZHANG Xiu-zhen |
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| Abstract: | Several singularity integrals for 3D-boundary integral equation are discussed in this paper. Rigid body movement principle is used to get rid of strong singularity factor, and linearity displacement function is introduced to eliminate feeble singularity factor. As a result, calculation precision is ensured and workload is reduced. The numerical results presented in this paper illustrate the feasibility of the proposed approach. |
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| Keywords: | singularity integral polar coordinate rigid body displacement boundary element |
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