| 多孔直杆扭转问题的边界元分析 |
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| 引用本文： | 李瑞遐. 多孔直杆扭转问题的边界元分析[J]. 应用数学与计算数学学报, 1997, 11(1): 41-50 |
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| 作者姓名： | 李瑞遐 |
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| 作者单位： | 华东理工大学数学系 上海 |
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| 摘 要： | 多孔直杆弹性扭转问题导致一个Poisson方程的非局部边值问题,相应的积分方程既包含未知函数又包含若干个未知数,并带有约束条件,我们通过把问题化为若干个无约束的变分问题证明了变分解的唯一性,并对近似解进行了误差分析,得到了最佳的误差估计。
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| 关 键 词： | 弹性扭转 边界元分析 非局部边值问题 变分解 误差估计 |
Boundary Element Analysis for Torsional Problem of Mviltihole Bars |
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| Li Ruixia. Boundary Element Analysis for Torsional Problem of Mviltihole Bars[J]. Communication on Applied Mathematics and Computation, 1997, 11(1): 41-50 |
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| Authors: | Li Ruixia |
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| Affiliation: | Li RuixiaDepartment of Mathematics,East china University of Science and Technology,Shanghai,200237 |
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| Abstract: | The prolilem of ebistic torsion of unltiholc liars results in a nonlocal boundary value problem for Foissoit equation and the corresponding boundary integral equation with the restrictions contains an nuknowu function awl several unknown numbers. We prove the uniqueness of the variational solution by reducing the problem into several variational problems without restrictions, make the error analysis for the approximate solution and obtain the optimum error estimate. |
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| Keywords: | clastic torsion boundary eleiuent analysis nonlocal boundary value problem variational solution error estimate. |
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