A second degree Newton method for an inverse obstacle scattering problem

Kress R.; Lee K.-M.

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A second degree Newton method for an inverse obstacle scattering problem

机译：逆障碍物散射问题的二度牛顿法

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摘要

A regularized second degree Newton method is proposed and implemented for the inverse problem for scattering of time-harmonic acoustic waves from a sound-soft obstacle. It combines ideas due to Johansson and Sleeman [18] and Hettlich and Rundell [8] and reconstructs the obstacle from the far field pattern for scattering of one incident plane wave.

机译：针对从声软障碍物散射时谐波声波的反问题，提出并实施了正则化二度牛顿法。它结合了Johansson和Sleeman [18]以及Hettlich和Rundell [8]的思想，并从远场模式中重构了一个入射平面波的散射障碍。

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《Journal of Computational Physics》 |2011年第20期|共9页
作者
Kress R.; Lee K.-M.;
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正文语种 eng
中图分类数学物理方法;
关键词
Acoustic waves; Helmholtz equation; Inverse scattering; Newton iterations;

机译：声波;亥姆霍兹方程;逆散射;牛顿迭代;

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专利

1. A second degree Newton method for an inverse obstacle scattering problem [J] . Kress R., Lee K.-M. Journal of Computational Physics . 2011,第20期

机译：逆障碍物散射问题的二度牛顿法
2. A second order Newton method for sound soft inverse obstacle scattering [J] . Kress R, Tezel N, Yaman F Journal of inverse and ill-posed problems . 2009,第2期

机译：声软逆障碍物散射的二阶牛顿法
3. On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method [J] . Charbel Farhat, Radek Texaur, Rabia Djellouli Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data . 2002,第5期

机译：正则牛顿法求解三维逆障碍物声散射问题
4. DECOMPOSITION METHODS IN INVERSE OBSTACLE SCATTERING VIA NEWTON ITERATIONS [C] . R. KRESS International Workshop on Scattering Theory and Biomedical Engineering . 2004

机译：通过牛顿迭代的逆障碍散射分解方法
5. Inverse problems of electromagnetic obstacle scattering and the method of lines. [D] . Lasater, Lena. 2005

机译：电磁障碍物散射的反问题和线法。
6. Simple Equations Method (SEsM): Algorithm Connection with Hirota Method Inverse Scattering Transform Method and Several Other Methods [O] . Nikolay K. Vitanov, Zlatinka I. Dimitrova, Kaloyan N. Vitanov 2021

机译：简单方程式方法（SESM）：算法与Hirota方法的连接逆散射变换方法和其他几种方法
7. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval: III. Sound-soft obstacle and bistatic data [O] . Masaru Ikehata 2013

机译：在有限时间间隔内具有动态数据的逆障碍散射问题的外壳方法：III。声音软障碍和双孔数据
8. Direct and Inverse Problems in Obstacle Scattering for Application in Detection, Identification and Communication [R] . Angell, T. S., Kleinman, R. E. 1981

机译：用于检测，识别和通信的障碍物散射中的直接和逆问题

A second degree Newton method for an inverse obstacle scattering problem

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