| 弹性动力学反问题的数值反演方法 |
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| 引用本文： | 魏培君,章梓茂.弹性动力学反问题的数值反演方法[J].力学进展,2001,31(2):172-180. |
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| 作者姓名： | 魏培君 章梓茂 |
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| 作者单位： | 北方交通大学土建学院力学所 |
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| 基金项目： | 国家自然科学基金资助项目!（19872002）&& |
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| 摘 要： | 系统介绍了弹性动力学反问题中各种数值反演方法，包括各种
近似下的线性化反演方法；非线性迭代反演方法；确定性和非确定性
搜索的优化反演方法；大范围收敛的同伦反演方法以及多尺度反演方
法。阐述了各类反演方法的原理、特点、适用范围和存在的局限性，
指出了数值反演方法进一步研究的方向。
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| 关 键 词： | 反问题 不适定性 非线性 反演方法 |
| 修稿时间： | 2000年6月12日 |
NUMERICAL METHODS FOR INVERSE PROBLEMS IN ELASTIC DYNAMICS |
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| Wei Peijun, Zhang Zimao Institute of Mechanics,College of Civil Engineering,Northern JiaoTong University,Beijing ,China.NUMERICAL METHODS FOR INVERSE PROBLEMS IN ELASTIC DYNAMICS[J].Advances in Mechanics,2001,31(2):172-180. |
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| Authors: | Wei Peijun Zhang Zimao Institute of Mechanics College of Civil Engineering Northern JiaoTong University Beijing China |
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| Affiliation: | Wei Peijun, Zhang Zimao Institute of Mechanics,College of Civil Engineering,Northern JiaoTong University,Beijing 100044,China |
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| Abstract: | The numerical methods for inverse problems in elastic dynamics are introduced in this paper. These methods include linear inverse methods under some approximation, non-linear iterative inverse methods in time domain or in frequency domain, optimizing method with deterministic or non-deterministic searching in the solution space, homotopy methods that converge in a large domain and multi-scale inverse methods composed of multigrid and wavelets. The principle, characteristics and limits of these methods are analyzed and the further research of numerical inverse methods in the future are discussed. |
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| Keywords: | inverse problem ill-posed non-linear inverse methods |
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