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Development of real-space ab-initio calculation based on finite-element method aiming for nano-interface structural optimization.

Research Project

Project/Area Number 19560073
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Materials/Mechanics of materials
Research InstitutionThe University of Tokyo

Principal Investigator

YOSHIKAWA Nobuhiro  The University of Tokyo, 生産技術研究所, 教授 (70230696)

Co-Investigator(Kenkyū-buntansha) SHIIHARA Yoshinori  東京大学, 生産技術研究所, 機関研究員 (90466855)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2008: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords第一原理計算 / 実空間法 / 異材界面 / 大規模原子シミュレーション / 並列計算 / スペクトル有限要素法 / 高次有限要素解析 / 大規模原子系シミュレーション
Research Abstract

For the development of a fast ab initio calculation software, the finite-element techniques, especially shape functions and meshing methods, in real-space ab initio calculation have been investigated. Through the investigation, we revealed the following issues : (1) Curving-mesh method maintains the convergence property of the finite-element method even in the 3-dimensional case and proves useful to reduce the number of grid points. (2) Higher-order shape function generated by spectral element method yields sufficiently accurate results with fewer number of grid points compared to lower-order shape function. (3) Quartic serendipity finite-element with curving grid can significantly improve the computational efficiency compared to the quadratic serendipity element with regular grid.

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (10 results)

All 2008 2007

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (6 results)

  • [Journal Article] Real-Space Ab-Initio Calculations on the Basis of Spectral Element Method2008

    • Author(s)
      Y. Shiihara, O. Kuwazuru, N. Yoshikawa
    • Journal Title

      Journal of Solid Mechanics and Materials Engineering Vol. 2, No. 10

      Pages: 1288-1297

    • NAID

      130000079055

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Real-Space Ab-Initio Calculations on the Basis of Spectral Element Method2008

    • Author(s)
      Yoshinori SHIIHARA
    • Journal Title

      Journal of Solid Mechanics and Materials Engineering Vol.2 No.10

      Pages: 1288-1297

    • NAID

      130000079055

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Real-space Kerker method for self-consistent calculation using non-orthogonal basis functions,2008

    • Author(s)
      Yoshinori Shiihara, Osamu Kuwazuru and Nobuhiro Yoshikawa:
    • Journal Title

      Modelling and Simulation in Materials Science and Engineering, 16 035004(11pp)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Error-Convergence Property of ab-initio Finite-Element Calculation with Curving Grid2007

    • Author(s)
      Y. Shiihara, O. Kuwazuru, N. Yoshikawa
    • Journal Title

      Journal of Solid Mechanics and Materials Engineering Vol. 2, No. 1

      Pages: 95-104

    • NAID

      130000078969

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Presentation] Real-Space ab-initio Calculations on the basis of Spectral Element Method2008

    • Author(s)
      Y. Shiihara, N. Ishizaki, O. Kuwazuru, N. Yoshikawa
    • Organizer
      M&M International Symposium for Young Researchers
    • Place of Presentation
      Wakayama
    • Year and Date
      2008-03-10
    • Related Report
      2008 Final Research Report
  • [Presentation] Real-space ab-initio calculations on the basis of spectral element method2008

    • Author(s)
      Yoshinori SHIIHARA, Nobuyuki ISHIZAKI, Osamu KUWAZURU and Nobuhiro YOSHIKAWA:, March 2008, , pp.231-240.
    • Organizer
      Japan Society of Mechanical Engineers〔No.08-204〕2008 M&M International Symposium for Young Researchers
    • Place of Presentation
      和歌山
    • Year and Date
      2008-03-10
    • Related Report
      2007 Annual Research Report
  • [Presentation] A parallel DFT program on the basis of domain-decomposition FEM2007

    • Author(s)
      Y. Shiihara, O. Kuwazuru, N. Yoshikawa
    • Organizer
      Third Asian-Pacific Congress on Computational Mechanics
    • Place of Presentation
      Kyoto
    • Year and Date
      2007-12-03
    • Related Report
      2008 Final Research Report
  • [Presentation] スペクトル要素法による実空間第一原理計算2007

    • Author(s)
      石崎信之, 椎原良典, 桑水流理, 吉川暢宏
    • Organizer
      日本機械学会第20回計算力学講演会
    • Place of Presentation
      京都
    • Year and Date
      2007-11-26
    • Related Report
      2008 Final Research Report
  • [Presentation] 有限要素第一原理計算における Curving grid 法の誤差評価2007

    • Author(s)
      椎原良典, 桑水流理, 吉川暢宏
    • Organizer
      日本機械学会M&M2007材料力学カンファレンス
    • Place of Presentation
      東京
    • Year and Date
      2007-10-24
    • Related Report
      2008 Final Research Report
  • [Presentation] 有限要素第一原理計算におけるCurving grid法の誤差評価2007

    • Author(s)
      椎原良典, 桑水流理, 吉川暢宏
    • Organizer
      日本機械学会〔No.07-3〕M&M2007材料力学カンファレンス
    • Place of Presentation
      東京
    • Year and Date
      2007-10-24
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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