| 屈曲特征值问题的边界元方法及收敛性分析 |
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| 引用本文： | 丁睿,丁方允,张颖. 屈曲特征值问题的边界元方法及收敛性分析[J]. 应用数学和力学, 2002, 23(2): 144-156 |
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| 作者姓名： | 丁睿 丁方允 张颖 |
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| 作者单位： | 1.苏州大学数学系, 苏州 215006; |
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| 基金项目： | 国家自然科学基金预研项目资助 (T4 10 70 15 ) |
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| 摘 要： | 讨论了屈曲特征值问题的定解条件,建立了相应的具约束的积分方程组及带Lagrange乘子的边界变分方程,给出了解的存在唯一性定理。建立了相应的边界元方法并讨论了近似解的误差估计。文末给出了数值算例。
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| 关 键 词： | Lagrange乘子法 边界元方法 Sobolev空间 |
| 文章编号： | 1000-0887(2002)02-0144-13 |
| 收稿时间： | 2000-09-29 |
| 修稿时间： | 2000-09-29 |
Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis |
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| DING Rui ,DING Fang-yun ,ZHANG Ying. Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis[J]. Applied Mathematics and Mechanics, 2002, 23(2): 144-156 |
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| Authors: | DING Rui DING Fang-yun ZHANG Ying |
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| Affiliation: | 1.Department of Mathematics, Soochou University, Suzhou 215006, P R China;2.Department of Mathematics, Lanzhou University, Lanzhou 730000, P R China;3.Department of Material Science, Xiamen University, Xiamen 361005, P R China |
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| Abstract: | The conditions for determining solution of buckling eigenvalue problem are discussed. The corresponding system of integral equations with constraint conditions and boundary variational equations with Lagrange multiplier are established. The theorems on the existence and uniqueness of the solution for these problems are given. The corresponding boundary element method is constructed and the error estimation for the approximation solution is obtained. Finally the numerical example is given. |
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| Keywords: | Lagrange multiplier BEM Sobolev space |
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