|
|||||
|
|
| BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS | |
| 作者姓名： | 丁睿 丁方允 张颖 |
| 作者单位： | 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，Xiame |
| 基金项目： | theNationalNaturalScienceFoundationPre_researchProject (T41 0 70 1 5) |
| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｂｕｃｋｌｉｎｇｅｉｇｅｎｖａｌｕｅｐｒｏｂｌｅｍｈａｓｉｍｐｏｒｔａｎｔｓｉｇｎｉｆｉｃａｎｃｅｉｎｔｈｅｓｔａｂｉｌｉｔｙａｎａｌｙｓｉｓｏｆｅｎｇｉｎｅｅｒｉｎｇｓｔｒｕｃｔｕｒｅ.Ｈｅｎｃｅｔｈｅｎｕｍｅｒｉｃａｌｃａｌｃｕｌａｔｉｏｎｆｏｒｔｈｅｓｅｐｒｏｂｌｅｍｓｉｓｅｘｔｒｅｍｅｌｙｍｅａｎｉｎｇｆｕｌｉｎｃｏｍｐｕｔａｔｉｏｎａｌｍｅｃｈａｎｉｃｓ.ＴｈｅｐｒｅｓｅｎｔｃｏｍｐｕｔａｔｉｏｎａｌｍｅｔｈｏｄｓｆｏｃｕｓｏｎＦＥＭ ,ｄｉｆｆｅｒｅｎｃｅｍ… |
| 收稿时间： | 2000-09-29 |
Boundary element method for buckling eigenvalue problem and its convergence analysis |
|
| Ding Rui Associate Professor, Doctor,Ding Fang-yun,Zhang Ying.BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS[J].Applied Mathematics and Mechanics(English Edition),2002,23(2):155-168. | |
| Authors: | Ding Rui Associate Professor Doctor Ding Fang-yun Zhang Ying |
| Institution: | 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 |
| 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. |
| Keywords: | Lagrange multiplier BEM Sobolev space |
| 本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！ | |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 | |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 | |