| 一个带有小参数的二维椭圆方程的渐近性分析 |
| |
| 引用本文： | 王军梅,董沛武,姚翠珍. 一个带有小参数的二维椭圆方程的渐近性分析[J]. 数学的实践与认识, 2012, 42(20) |
| |
| 作者姓名： | 王军梅 董沛武 姚翠珍 |
| |
| 作者单位： | 1. 北京理工大学管理与经济学院,北京,100081
2. 北京理工大学数学学院,北京,100081 |
| |
| 摘 要： | 通过数值方法研究在边界充分(逐段)光滑区域上的带有小参数的二维椭圆方程在部分Dirichlet边界控制下的渐近性问题.对于一维的情形求解析解的结果,对高维问题提出类似的问题.但高维问题解析求解一般不可能,因此采用数值分析的方法.数值结果表明,在所选的条件下,边界值对小常数仍然不是解析的.
|
| 关 键 词： | 椭圆方程 Dirichlet边界控制 解析 有限元方法 |
The Asymptotic Property Analysis to a 2-D Elliptic Equations with Small Parameters |
| |
| WANG Jun-mei , DONG Pei-wu , YAO Cui-zhen. The Asymptotic Property Analysis to a 2-D Elliptic Equations with Small Parameters[J]. Mathematics in Practice and Theory, 2012, 42(20) |
| |
| Authors: | WANG Jun-mei DONG Pei-wu YAO Cui-zhen |
| |
| Abstract: | In this paper we deal with an elliptic equation with small parameters.This problem is initiated from the regularity of multi-dimensional wave equation under partial Dirichlet control and collocated observation.We are interested in the analyticity of this function with respect to the small parameter.However,the one-dimensional analytic solution shows that this is not true.Through numerical analysis,we found that this is also not true for 2-dimensional case. |
| |
| Keywords: | Elliptic equation Dirichlet boundary control Numerical analysis finite element method |
| 本文献已被 万方数据 等数据库收录！ |
|
