a fast integral equation method for elastic wave scattering free from a coefficient matrix

一种无系数矩阵的弹性波散射快速积分方程法

• 批准号: 23560073
• 负责人: TOUHEI Terumi
• 金额: $ 1.25万
• 依托单位: Tokyo University of Science
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2011
• 资助国家: 日本
• 起止时间: 2011 至 2013
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-23560073/
• 关键词: 計算力学; 弾性波散乱問題; 積分方程式; 高速解法; 散乱逆問題; 係数行列free; 散乱解析; インバージョン; 係数行列フリー; 散乱逆解析; 弾性波動; 散乱問題

Waves propagating in solids cause scattering in the case that waves encounter obstacles in a wave field. Investigation of scattered waves in solids is an important task to reconstruct the information of the objects. In general, analysis of the scattered waves are carried out by means of the class of integral equation, that sometimes requires the derivation of huge and dense coefficient matrix for numerical calculations. It is known that huge and dense coefficient matrices for the integral equations are the obstacles for the numerical calculations. The pesent study proposed a fast method for the integral equation free from the derivation of coefficient matrix and mathematical theory for reconstructing the scattering object from the observed scattered waves based on the proposed method.

在固体中传播的波在波场中遇到障碍物的情况下引起散射。研究固体中的散射波是重建物体信息的重要课题。一般情况下，散射波的分析是通过一类积分方程来进行的，这有时需要推导出庞大而密集的系数矩阵进行数值计算。积分方程系数矩阵的庞大和稠密是数值计算的障碍。本文提出了一种无需推导系数矩阵和数学理论的快速积分方程方法，并以此方法为基础，从实测散射波中重建散射目标。

项目成果

高速領域積分方程式を用いた半無限弾性波動場の散乱逆解析

利用快域积分方程对半无限弹性波场进行散射反演分析

• 发表时间: 2013
• 作者: 四方潤一;三瓶有輝;柴田宣;南出泰亜;大寺康夫;野村祐蔵;八坂洋;東平光生
• 通讯作者: 東平光生

A fast volume integral equation method for elastic wave propgation in a half space

半空间弹性波传播的快速体积积分方程法

• 发表时间: 2011
• 期刊: Int. J. Solids and Structures
• 作者: S. Fan;F. Qi;T. Notake;K. Nawata;T. Matsukawa;Y. Takida;and H. Minamide;Shun Ogawa and Yoshiyuki Y. Yamaguchi;東平光生
• 通讯作者: 東平光生

A fast volume integral equation method for elastic wave propagation in a half space

• DOI: 10.1016/j.ijsolstr.2011.07.013
• 发表时间: 2011-11
• 期刊: International Journal of Solids and Structures
• 影响因子: 3.6
• 作者: T. Touhei

A boundary-volume integral equation method for the analysis of wave scattering

波散射分析的边界体积积分方程法

• 发表时间: 2012
• 期刊: Coupled systems mechanics
• 影响因子: 1.7
• 作者: 伊藤 民武;平野 研;山本 裕子;石堂 智美;村瀬 至生;Fumiya Suenobu & Fujio Kubo;Terumi Touhei
• 通讯作者: Terumi Touhei

Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method

弹性半空间的快速体积积分方程法逆散射分析

• DOI: 10.1016/j.enganabound.2014.02.004
• 发表时间: 2014
• 期刊: Engineering analysis with boundary elements
• 影响因子: 3.3
• 作者: Terumi Touhei;Takuya Hinago and Yasufumi Fukushiro
• 通讯作者: Takuya Hinago and Yasufumi Fukushiro