2013 Fiscal Year Final Research Report
a fast integral equation method for elastic wave scattering free from a coefficient matrix
| Project/Area Number |
23560073
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
TOUHEI Terumi 東京理科大学, 理工学部, 教授 (50246691)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 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 |
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| Research Abstract |
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.
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