| 一维波动方程反问题求解的正则化方法 |
| |
| 引用本文： | 吴建成,张大力,刘家琦.一维波动方程反问题求解的正则化方法[J].计算物理,1995,12(3):415-420. |
| |
| 作者姓名： | 吴建成 张大力 刘家琦 |
| |
| 作者单位： | 1. 江苏石油化工学院基础部, 常州 213016;2. 哈尔滨工业大学数学系, 哈尔滨 150001 |
| |
| 基金项目： | 江苏省优秀青年教师基金;国家自然科学基金 |
| |
| 摘 要： | 讨论了一维波动方程utt-?x(μ(x)ux)=0在一般的初、边值条件和附加条件下系数μ(x)的求解方法.把反问题归结为一不适定的非线性积分方程组,利用正则化方法克服了反问题的不适定性.
|
| 关 键 词： | 波动方程 反问题 正则化 不适定 |
| 收稿时间： | 1994-05-22 |
| 修稿时间： | 1995-03-10 |
THE REGULARIZATION METHODS FOR SOLVING INVERSE PROBLEM OF ONE-DIMENSIONAL WAVE EQUATION |
| |
| Wu Jiancheng,ZhangDali,Liu Jiaqi.THE REGULARIZATION METHODS FOR SOLVING INVERSE PROBLEM OF ONE-DIMENSIONAL WAVE EQUATION[J].Chinese Journal of Computational Physics,1995,12(3):415-420. |
| |
| Authors: | Wu Jiancheng ZhangDali Liu Jiaqi |
| |
| Institution: | 1. Dept of Mathematics, Jiangsu Insitute of Petrochemical industry, Changzhou, 213016;2. Dept of Mathematics, Harbin Instiute of Technology, Harbin, 150001 |
| |
| Abstract: | Under the general initial-boundary-value condition and additional condition, the methods for solving problem of one-dimensional wave equation is discussed. The inverse problem is reduced to an ill-posed non-linear integral system. Tikhonov's regularization method overcomes the difficulty of inverse problem and has a good numerical stability. The Numerical results show that the method is feasible and effective. |
| |
| Keywords: | wave equation inverse problem regularization ill-posed |
|
| 点击此处可从《计算物理》浏览原始摘要信息 |
| 点击此处可从《计算物理》下载免费的PDF全文 |
