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

Research Project

Project/Area Number 23560073
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Engineering fundamentals
Research InstitutionTokyo University of Science

Principal Investigator

TOUHEI Terumi  東京理科大学, 理工学部, 教授 (50246691)

Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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 / 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
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.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (16 results)

All 2014 2013 2012 2011

All Journal Article (8 results) (of which Peer Reviewed: 4 results) Presentation (8 results)

  • [Journal Article] Inverse scattering analysis of an elastic half-space by means of the fast volume integral equation method2014

    • Author(s)
      Terumi Touhei, Takuya Hinago and Yasufumi Fukushiro
    • Journal Title

      Engineering analysis with boundary elements

      Volume: (in press)

    • NAID

      130004605169

    • Related Report
      2013 Final Research Report
  • [Journal Article] Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method2014

    • Author(s)
      Terumi Touhei, Takuya Hinago and Yasufumi Fukushiro
    • Journal Title

      Engineering analysis with boundary elements

      Volume: in press Pages: 130-142

    • DOI

      10.1016/j.enganabound.2014.02.004

    • NAID

      130004605169

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Inverse scattering analysis of an elastic half-space by means of the fast volume integral equation method2013

    • Author(s)
      Terumi Touhei and Takuya Hinago
    • Journal Title

      Boundary elements and mesh reduction methods

      Volume: vol.35 Pages: 177-186

    • NAID

      130004605169

    • Related Report
      2013 Final Research Report
  • [Journal Article] Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method2013

    • Author(s)
      Terumi Touhei and Takuya Hinago
    • Journal Title

      Boundary Elements and other mesh reduction methods

      Volume: 35 Pages: 177-186

    • NAID

      130004605169

    • Related Report
      2013 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A boundary-volume integral equation method for the analysis of wave scattering2012

    • Author(s)
      Terumi Touhei
    • Journal Title

      Coupled systems mechanics

      Volume: Vol.1, No.2 Pages: 183-204

    • Related Report
      2013 Final Research Report
  • [Journal Article] A boundary-volume integral equation method for the analysis of wave scattering2012

    • Author(s)
      Terumi Touhei
    • Journal Title

      Coupled Systems Mechanics, an international journal

      Volume: Volume 1 Pages: 183-204

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A fast volume integral equation method for elastic wave propagation in a half-space2011

    • Author(s)
      Terumi Touhei
    • Journal Title

      Int.J.Solods and Struct

      Volume: Vol.48 Pages: 3194-3208

    • Related Report
      2013 Final Research Report
  • [Journal Article] A fast volume integral equation method for elastic wave propgation in a half space2011

    • Author(s)
      東平光生
    • Journal Title

      Int. J. Solids and Structures

      Volume: 48 Pages: 3194-3208

    • Related Report
      2011 Research-status Report
    • Peer Reviewed
  • [Presentation] Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method2013

    • Author(s)
      Terumi Touhei and Takuya Hinago
    • Organizer
      apcom2013
    • Place of Presentation
      Singapore
    • Related Report
      2013 Final Research Report
  • [Presentation] Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method2013

    • Author(s)
      Terumi Touhei
    • Organizer
      Boundary Elements and Mesh reduction methods
    • Place of Presentation
      Newforest, U.K.
    • Related Report
      2013 Annual Research Report
  • [Presentation] Inverse scattering analysis of an elastic half space by means of the fast volume integral equation method2013

    • Author(s)
      Terumi Touhei
    • Organizer
      APCOM 2013
    • Place of Presentation
      Singapore
    • Related Report
      2013 Annual Research Report
  • [Presentation] 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2013

    • Author(s)
      東平光生
    • Organizer
      第62回理論応用力学講演会 (基調講演)
    • Place of Presentation
      東京工業大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Inverse scattering analysis of elastic half-space by means of the fast volume integral equation method2012

    • Author(s)
      Terumi Touhei, and Takuya Hinago
    • Organizer
      Annual meeting of Society of Engineering Science
    • Place of Presentation
      Georgia Tech. Inst.
    • Related Report
      2013 Final Research Report
  • [Presentation] Inverse scattering analysis of elastic half space by means of the fast volume integral equation method2012

    • Author(s)
      Terumi Touhei
    • Organizer
      Anual meeting of Society of Enginnering Science
    • Place of Presentation
      Georgia institute of Technology, USA
    • Related Report
      2012 Research-status Report
  • [Presentation] A fast integral equation method for elastic wave propagation free from mesh and coefficient matrix2011

    • Author(s)
      Koichi Kuranami and Terumi Touhei
    • Organizer
      Annual meeting of Society of Engineering Science
    • Place of Presentation
      North Western University
    • Related Report
      2013 Final Research Report
  • [Presentation] A Fast Integral Equation Method For Elastic Wave Propagation Free From Mesh And Coefficient Matrix2011

    • Author(s)
      倉浪晃一 東平光生
    • Organizer
      SES2011,
    • Place of Presentation
      North western univ
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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