| 二维非线性抛物型方程反问题的变分伴随方法研究 |
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| 引用本文： | 王兵贤,徐定华. 二维非线性抛物型方程反问题的变分伴随方法研究[J]. 浙江理工大学学报, 2007, 24(5): 586-591 |
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| 作者姓名： | 王兵贤 徐定华 |
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| 作者单位： | 1. 东华理工大学数学与信息科学学院,江西抚州,344000
2. 浙江理工大学数学研究所,杭州,310018 |
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| 基金项目： | 国家自然科学基金;江西省自然科学基金 |
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| 摘 要： | 讨论了用变分伴随方法求解一类二维非线性抛物型方程反问题,利用正则化思想改造最小二乘方法,利用变分伴随思想构造迭代算法,理论分析与数值模拟显示用变分伴随方法求解此类反问题是有效可行的。
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| 关 键 词： | 非线性抛物型方程 反问题 变分伴随方法 |
| 文章编号： | 1673-3851（2007）05-0586-06 |
| 收稿时间： | 2007-03-22 |
| 修稿时间： | 2007-03-22 |
On the Variational Adjoint Method for a Class of Inverse Problems for Two-Dimensional Nonlinear Parabolic Equations |
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| WANG Bing-xian,XU Ding-hua. On the Variational Adjoint Method for a Class of Inverse Problems for Two-Dimensional Nonlinear Parabolic Equations[J]. Journal of Zhejiang Sci-tech University, 2007, 24(5): 586-591 |
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| Authors: | WANG Bing-xian XU Ding-hua |
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| Affiliation: | 1. School of Mathematics and Informational Sciences, East China Institute of Technology, Fuzhou 344000, China; 2. Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | This paper discusses a class of inverse problems for two-dimensional nonlinear parabolic equations by means of the variational adjoint method.The paper improves the least squared method(LSM) by means of the idea of regularization,gives the iteration algorithm by means of variationaladjoint method.The algorithm's efficiency and feasibility are tested by theoretical analysis and numerical simulation. |
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| Keywords: | Nonlinear parabolic equations Inverse problem Variational adjoint method |
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