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| 近似边界元方法及其收敛性分析 | |
| 引用本文： | 丁睿,丁方允,张颖.近似边界元方法及其收敛性分析[J].兰州大学学报(自然科学版),2000,36(1):17-23. |
| 作者姓名： | 丁睿 丁方允 张颖 |
| 作者单位： | 1. 苏州大学,数学系,江苏,苏州,205006 2. 兰州大学,数学系,甘肃,兰州,730000 3. 厦门大学,材料科学系,福建,厦门,361005 |
| 基金项目： | 国家自然科学基金!( 1972 70 2 7)，国家博士点基金，甘肃省自然科学基金!( ZR- 96- 0 0 2 )资助项目 |
| 摘 要： | 以Ｌａｐｌａｃｅ方程Ｄｉｒｉｃｈｌｅｔ问题为例，为椭圆边值问题近似边界元法的建立及其收敛性分析提供了一种框架性的工作。文中给出了近似基本解的确定方法，具近似基本解的离散边界变分方程解的存在惟一性定理以及近似解的误差估计，特别给出了近似基本解中截断数和离散网格宽度应保持的匹配关系，文末给出了数值算例。 |
| 关 键 词： | 近似基本解 边界元方法 收敛性 |
| 修稿时间： | ： |
Approximation Boundary Element Method and Its Convergence Analysis |
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| Ding Rui,Ding Fangyun,Zhang Ying.Approximation Boundary Element Method and Its Convergence Analysis[J].Journal of Lanzhou University(Natural Science),2000,36(1):17-23. | |
| Authors: | Ding Rui Ding Fangyun Zhang Ying |
| Abstract: | By using Dirichlet boundary value problem was presented as an example,a suit of reference frames of the L aplace equation to establish the approximation boundary element method and error estimation for the boundary value problem of the usual elliptic equation. The determination of the approximation fundamental solution is given along with the theo- rem of the existence and uniqueness for the solution of the discreted variational equation with the approximation fundamental solution,and the error estimation of the approximation solu- tion.The matching relation of the mesh size and the truncated number in the approximation fundamental solution is given.Finally,the numerical example is presented. |
| Keywords: | approximation fundamental solution boundary element method approximation boundary element method(BEM) |
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