| 关于边界元方法中柯西主值积分的探讨 |
| |
| 引用本文： | 刘钊,王有成.关于边界元方法中柯西主值积分的探讨[J].上海力学,1993,14(4):48-55. |
| |
| 作者姓名： | 刘钊 王有成 |
| |
| 作者单位： | 合肥工业大学
(刘钊)，合肥工业大学(王有成) |
| |
| 摘 要： | 本文对边界元方法中的各类积分根据其奇异性作分类，并对主值积分的收敛条件、变量替换等进行了讨论，又给出了变替换附加项显式。文中提供的主值积分配项消奇术在边界元方法中是有普遍意义的。
|
| 关 键 词： | 数值积分 边界元法 弹性力学 |
AN INVESTIGATION OF CAUCHY PRINCIPAL VALUE INTEGRALS IN BOUNDARY ELEMENT METHODS |
| |
| Lui Zhao,Wang Youcheng.AN INVESTIGATION OF CAUCHY PRINCIPAL VALUE INTEGRALS IN BOUNDARY ELEMENT METHODS[J].Chinese Quarterly Mechanics,1993,14(4):48-55. |
| |
| Authors: | Lui Zhao Wang Youcheng |
| |
| Affiliation: | Hefei Polytechnic University |
| |
| Abstract: | In this paper,the various integrals in boundary element method are classified according to their singu-larities,and a discussion is given for the conditions of convergence and the substitution of variables in thesedifferent kinds of principal value integrals.Furthermore,an explicit formula of the extra term is given in thesubstitution of variables in the integral of principal value of high singularity.In authors'view,the method ofelimination of singularity by allocating terms in the calculation of integral of principal value of high singu-larity in boundary element method is of general significance. |
| |
| Keywords: | BEM Cauchy principal value integral Numerical integration |
| 本文献已被 CNKI 维普 等数据库收录！ |
