Study of Inverse Problems for Family of Elasticity Equations
| Project/Area Number |
22340023
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
JIMBO Shuichi 北海道大学, 大学院・理学研究院, 教授 (80201565)
HONDA Naofumi 北海道大学, 大学院・理学研究院, 准教授 (00238817)
KAWSHITA Misio 広島大学, 大学院・理学研究科, 教授 (80214633)
TANUMA Kazumi 群馬大学, 大学院・工学研究科, 准教授 (60217156)
WATANABE Michiyuki 新潟大学, 人文社会・教育学系, 准教授 (90374181)
SHIROTA Kenji 愛知県立大学, 情報学部, 准教授 (90302322)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥14,820,000 (Direct Cost: ¥11,400,000、Indirect Cost: ¥3,420,000)
Fiscal Year 2012: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2011: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
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| Keywords | 応用解析 / 逆問題 / 粘弾性方程式 / MRE / 安定性 / 断層同定 / 弾性係数 / 粘性係数 / レーリー波 / 非線形波動方程式 / 粘弾性 / 光トモグラフィー / 解の構造 |
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| Research Abstract |
Some studies were done and obtained sufficient results on the data analysis of elastography which measures the visco-elasticity of tissues in a living body non-invasively, and as their related studies, the LSM (linear sampling method) for parabolic equations and Carleman estimate for anomalous diffusion equations. We completed our recent year study on the dispersion formula of the speed of Rayleigh wave for half space depth dependent anisotrpic elastic media with residual stress. We gave an inversion scheme for detecting damage of connectors of steel-concrete composite beam.
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Report
(4 results)
Research Products
(50 results)
