| 凹形区域上双调和方程的重叠型算法 |
| |
| 引用本文： | 汪佳丽,王寿城.凹形区域上双调和方程的重叠型算法[J].安庆师范学院学报(自然科学版),2010,16(4):31-33. |
| |
| 作者姓名： | 汪佳丽 王寿城 |
| |
| 作者单位： | 合肥工业大学,数学学院,安徽,合肥,230009;合肥工业大学,数学学院,安徽,合肥,230009 |
| |
| 摘 要： | 基于交替迭代思想,本文提出了一种凹形半无界区域上双调和方程的区域分解算法,分析了其收敛性。该算法将求解域分为有界子域与标准的半平面,根据自然边界归化理论,在有界区域内用有限元方法求解,在半平面内用边界元法求解,使得有限元与边界元分别在有界子域与半平面上交替进行。
|
| 关 键 词： | 边值问题 区域分解 无界区域 |
Overlapping Method of Bi-harmonic Equation over a Cave Domain |
| |
| WANG Jia-li,WANG Shou-cheng.Overlapping Method of Bi-harmonic Equation over a Cave Domain[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(4):31-33. |
| |
| Authors: | WANG Jia-li WANG Shou-cheng |
| |
| Institution: | WANG Jia-li,WANG Shou-cheng(School of Mathematics,Hefei University of Technology,Hefei 230009,China) |
| |
| Abstract: | Based on alternating process,this paper presents a kind of domain decomposition method of bi-harmonic equation over the unbounded half plane with a cave.And the convergence of the method is analyzed.It divides the domain into two parts,the one is bounded,while the other is a half plane.According to the natural boundary reduction theory,the finite element method and the boundary element one can be used respectively on them in an alternating way. |
| |
| Keywords: | boundary value problem domain decomposition unbounded domain |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
