| 数理方程的虚边界元法及其与相关方法的关系 |
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| 引用本文： | 孙焕纯,许强.数理方程的虚边界元法及其与相关方法的关系[J].大连理工大学学报,1999,39(2):183-190. |
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| 作者姓名： | 孙焕纯 许强 |
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| 作者单位： | 大连理工大学力学系!辽宁大连，116024，上海铁道大学土木系!上海，200333，辽宁工学院建工系!辽宁锦州，121001 |
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| 摘 要： | 自１９８４年至今国内外在数理方程的数值解法中先后出了叠加法、域外奇点法、虚边界元法和连界点法。这些方法之间虽然名称各异，但其理论基础是相同的。例如叠加法、域外奇点法、虚边界元－配点法和边界点法就是这样。
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| 关 键 词： | 数理方程 虚边界元法 叠加法 边界点法 弹性力学 |
Virtual boundary element method for solving mathematical equations and relationship between it and relative methods |
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| SUN Huan-chun, XU Qians, ZHANG Li-zou.Virtual boundary element method for solving mathematical equations and relationship between it and relative methods[J].Journal of Dalian University of Technology,1999,39(2):183-190. |
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| Authors: | SUN Huan-chun XU Qians ZHANG Li-zou |
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| Abstract: | Since 1984, some numerical methods for solving mathematical equations, forexample, superposition method, out-domain singularity point method, virtualboundary-collocation method and boundary point (or whole special solution field) method, haveappeared early or late in the international and domestic journals. Although their names aredifferent but their theoretic foundation is all the same. This paper gives a proof theoretically onthis point on the one hand, and on the other hand, describes the differences among the virtualboundary element method and the rest methods mentioned above, and then gives out twoexamples to illustrate the effectiveness of VBELS (virtual boundary element-least Square)method. |
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| Keywords: | mathematical equation virtual boundary element method superpositionmethod/boundary point method |
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