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Improvement of Extended Boundary-Node Method for Large-Scale Simulation

Research Project

Project/Area Number 25870630
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field High performance computing
Foundations of mathematics/Applied mathematics
Research InstitutionYamagata University (2015-2016)
University of Hyogo (2013-2014)

Principal Investigator

Saitoh Ayumu  山形大学, 大学院理工学研究科, 准教授 (20400533)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsメッシュレス法 / 数値解法 / 境界節点法 / 境界要素法 / 有限節点法
Outline of Final Research Achievements

Recently, a simulation with about 100000 degree of freedom has become able to calculate by using a PC. Therefore, a high-performance numerical calculation method is desired. In this study, we focus on the boundary-type meshless method especially. From the viewpoint of speed, we improve the extended boundary node method (X-BNM), and aim to apply it to a large-scale simulation.
Numerical results have showed that the X-BNM with the H-matrix method can be computed at a very high speed by comparing with the standard X-BNM. As a result, it found that the X-BNM can also be a powerful tool for large scale simulation.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (38 results)

All 2017 2016 2015 2014 2013 Other

All Journal Article (13 results) (of which Peer Reviewed: 13 results,  Open Access: 7 results,  Acknowledgement Compliant: 8 results) Presentation (23 results) (of which Int'l Joint Research: 10 results) Remarks (2 results)

  • [Journal Article] Numerical Simulation of Contactless Method for Measuring jC in Multiple-Layered Superconducting Film With Cracks2017

    • Author(s)
      T. Takayama, A. Saitoh, A. Kamitani
    • Journal Title

      IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY

      Volume: 27 Issue: 4 Pages: 9000805-9000805

    • DOI

      10.1109/tasc.2016.2643506

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Combination Approach of Domain-Type and Boundary-Type Meshless Methods for Solving Hybrid Boundary-Value Problem of Homogeneous and Inhomogeneous Elliptic PDEs2017

    • Author(s)
      A. Saitoh, T. Takayama, A. Kamitani
    • Journal Title

      IEEE Trans. Magn.

      Volume: - Issue: 6 Pages: 7202504-7202504

    • DOI

      10.1109/tmag.2017.2657635

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Speedup of Shielding Current Analysis in High-Temperature Superconducting Film: Implementation of H-Matrix Method2016

    • Author(s)
      Atsushi KAMITANI, Teruou TAKAYAMA, Ayumu SAITOH and Hiroaki NAKAMURA
    • Journal Title

      Plasma and Fusion Research

      Volume: 11 Issue: 0 Pages: 2405041-2405041

    • DOI

      10.1585/pfr.11.2405041

    • NAID

      130005243446

    • ISSN
      1880-6821
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Simulation of Contactless Crack Detection in HTS Films: Application of <i>H</i>-Matrix Method to Fast Matrix-Vector Multiplication2016

    • Author(s)
      Teruou TAKAYAMA, Ayumu SAITOH, Atsushi KAMITANI and Hiroaki NAKAMURA
    • Journal Title

      Plasma and Fusion Research

      Volume: 11 Issue: 0 Pages: 2401043-2401043

    • DOI

      10.1585/pfr.11.2401043

    • NAID

      130005330471

    • ISSN
      1880-6821
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] High-speed method for analyzing shielding current density in HTS with cracks: implementation of <i>H</i>-matrix method to GMRES2016

    • Author(s)
      Teruou Takayama, Atsushi Kamitani, Ayumu Saitoh
    • Journal Title

      Journal of Advanced Simulation in Science and Engineering

      Volume: 3 Issue: 2 Pages: 173-187

    • DOI

      10.15748/jasse.3.173

    • NAID

      130005562273

    • ISSN
      2188-5303
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Numerical Investigation of Preconditioning for Iterative Methods in Linear Systems Obtained by Extended Element-Free Galerkin Method2016

    • Author(s)
      Taku Itoh, Ayumu Saitoh, Soichiro Ikuno, Atsushi Kamitani
    • Journal Title

      Journal of Advanced Simulation in Science and Engineering

      Volume: 3 Issue: 2 Pages: 188-205

    • DOI

      10.15748/jasse.3.188

    • NAID

      130005562272

    • ISSN
      2188-5303
    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Performance Improvement of Extended Boundary Node Method for Solving Elliptic Boundary-Value Problems2016

    • Author(s)
      A. SAITOH, T. TAKAYAMA, A. KAMITANI and H. NAKAMURA
    • Journal Title

      Plasma Fusion and Research

      Volume: 11 Pages: 2401062-2401062

    • NAID

      130005330474

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Numerical investigations on applicability of permanent magnet method to crack detection in HTS film2014

    • Author(s)
      A. Kamitani, T. Takayama and A. Saitoh
    • Journal Title

      PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS

      Volume: 504 Pages: 57-61

    • DOI

      10.1016/j.physc.2014.04.016

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Speed-Up Technique of Extended Boundary Node Method for Large-Scale Simulation2014

    • Author(s)
      A. Saitoh, A. Kamitani and H. Nakamura
    • Journal Title

      Plasma and Fusion Research

      Volume: 9 Issue: 0 Pages: 3401061-3401061

    • DOI

      10.1585/pfr.9.3401061

    • NAID

      130005098522

    • ISSN
      1880-6821
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Ophthalmological Examination Determination Using Data Classification Based on Support Vector Machines and Self-Organizing Maps2014

    • Author(s)
      N. Kamiura, A. Saitoh, T. Isokawa, N. Matsui, and H. Tabuchi
    • Journal Title

      Journal of Japan Society for Fuzzy Theory and Intelligent Informatics

      Volume: 26 Issue: 2 Pages: 559-572

    • DOI

      10.3156/jsoft.26.559

    • NAID

      130004934159

    • ISSN
      1347-7986, 1881-7203
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Acceleration Technique for Extended Boundary-Node Method2014

    • Author(s)
      A. Saitoh, T. Itoh, N. Matsui and A. Kamitani
    • Journal Title

      IEEE Trans. Magn.

      Volume: 50 Issue: 2 Pages: 7011404-7011404

    • DOI

      10.1109/tmag.2013.2285587

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Simulation-Based Approach in Estimating Waiting Time for Ophthalmology Outpatients2013

    • Author(s)
      N.Kamiura, A.Saitoh, T.Isokawa, N.Matsui, and H.Tabuchi
    • Journal Title

      International Journal of Intelligent Computing in Medical Science & Image Processing

      Volume: 5 Issue: 1 Pages: 31-43

    • DOI

      10.1080/1931308x.2013.794631

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Accuracy Improvement of Extended Boundary-Node Method2013

    • Author(s)
      A. Saitoh, K. Miyashita, T. Itoh, A. Kamitani, T. Isokawa, N. Kamiura and N. Matsui
    • Journal Title

      IEEE Trans. Magn.

      Volume: 49 Issue: 5 Pages: 1601-1604

    • DOI

      10.1109/tmag.2013.2243121

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] HTS薄膜内遮蔽電流密度解析の高速化 II: QR分解とH行列法の実装2016

    • Author(s)
      高山 彰優, 齋藤 歩, 神谷 淳
    • Organizer
      日本応用数理学会 2016年度年会
    • Place of Presentation
      北九州国際会議場
    • Related Report
      2016 Annual Research Report
  • [Presentation] メッシュレス法を用いた内部・外部混合境界値問題の数値解法2016

    • Author(s)
      齋藤 歩, 高山 彰優, 神谷 淳
    • Organizer
      日本応用数理学会 2016年度年会
    • Place of Presentation
      北九州国際会議場
    • Related Report
      2016 Annual Research Report
  • [Presentation] High -Speed Analysis of Shielding Current Densit y in HTS Fi lm with Cracks2016

    • Author(s)
      T. Takayama, A. Saitoh and A. Kamitani
    • Organizer
      JSST 2016
    • Place of Presentation
      International Science Innovation Building, Kyoto University
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Numerical Approach Using Methless Method for Solving Interior and Ex terior Boundary -Value Problems2016

    • Author(s)
      A. Saitoh, T. Takayama and A. Kamitani
    • Organizer
      JSST 2016
    • Place of Presentation
      International Science Innovation Building, Kyoto University
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] gMocren: Visualization software for Monte Carlo simulato rs for radiotherapy,2016

    • Author(s)
      A. Kimura, K. Hasegawa, A. Saitoh and S. Tanaka
    • Organizer
      JSST 2016
    • Place of Presentation
      International Science Innovation Building, Kyoto University
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Combination Approach of Domain-Type and Boundary-Type Meshless Methods for Solving Hybrid Boundary-Value Problem of Homogeneous and Inhomogeneous El liptic PDEs2016

    • Author(s)
      A. Saitoh, T. Takayama, A. Kamitani
    • Organizer
      IEEE CEFC 2016
    • Place of Presentation
      Hilton Miami Downtown, U.S.A.
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Convergence - Property Improvement of GMRES in S hielding Current Analysis of Cracked S uperconducting Film2016

    • Author(s)
      A. Kamitani, T. Takayama, A. Saitoh, S. Ikuno
    • Organizer
      IEEE CEFC 2016
    • Place of Presentation
      Hilton Miami Downtown, U.S.A.
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] メッシュレス法による内部・外部問題の数値解法2016

    • Author(s)
      齋藤 歩,高山 彰優,神谷 淳
    • Organizer
      MAGDA 2016
    • Place of Presentation
      群馬県桐生市市民文化会館
    • Related Report
      2016 Annual Research Report
  • [Presentation] Numerical Approach by Using Only Meshless Method to Solve Both External and Internal Problems2016

    • Author(s)
      A. Saitoh, T. Takayama, A. Kamitani
    • Organizer
      The 1st Japan-Thailand Workshop on Numerical and Experimental Approaches to Nonlinear Problems
    • Place of Presentation
      KMITL, Thailand
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Speed Improvement of Extended Boundary Node Method by Using Adaptive Cross Approximation2015

    • Author(s)
      A. Nishimura, A. Saitoh, T. Itoh, N. Matsui, A. Kamitani
    • Organizer
      2015 International Symposium on Nonlinear Theory and its Applications (NOLTA2015)
    • Place of Presentation
      City University of Hong Kong(香港)
    • Year and Date
      2015-12-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Performance Improvement of Extended Boundary Node Method for Solving Elliptic Boundary Value Problems2015

    • Author(s)
      A. Saitoh, T. Takayama, A. Kamitani and H. Nakamura
    • Organizer
      25th International Toki Conference (ITC-25)
    • Place of Presentation
      Ceratopia Toki
    • Year and Date
      2015-11-04
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 3D Volumetric Model Reconstruction from Tomographic Image Data of Honeybee Standard Brain, Part II2015

    • Author(s)
      A. Saitoh, A. Komano. T. Isokawa, H. Ikeno, N. Matsui
    • Organizer
      The 34th JSST Annual Conference International Conference on Simulation Technology (JSST2015)
    • Place of Presentation
      Toyama International Conference Center
    • Year and Date
      2015-10-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 楕円型偏微分方程式の境界値問題を解くための高性能拡張境界節点法の開発2015

    • Author(s)
      西村明浩,齋藤歩,高山彰優,松井伸之,神谷淳
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学角間キャンパス
    • Year and Date
      2015-09-09
    • Related Report
      2015 Research-status Report
  • [Presentation] 高性能拡張境界節点法の開発2015

    • Author(s)
      齋藤歩,高山彰優,神谷淳,中村浩章
    • Organizer
      プラズマシミュレータシンポジウム2015
    • Place of Presentation
      核融合科学研究所
    • Year and Date
      2015-09-03
    • Related Report
      2015 Research-status Report
  • [Presentation] Numerical Technique Based on Extended Boundary Node Method for Solving Grad -Shafranov Equation2015

    • Author(s)
      A. Saitoh, T. Itoh, N. Matsui, A. Kamitani
    • Organizer
      20th International Conference on the Computation of Electromagnetic Fields (COMPUMAG2015)
    • Place of Presentation
      McGill University(カナダ)
    • Year and Date
      2015-07-01
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 3D Volumetric Model Reconstruction from Tomographic Image Data of Honeybee Standard Brain2014

    • Author(s)
      A. Komano, A. Saitoh, T. Isokawa, H. Ikeno, and N. Matsui
    • Organizer
      Proc. of 33rd JSST Annual Conference (JSST 2014)
    • Place of Presentation
      北九州国際会議場(福岡県・北九州市)
    • Year and Date
      2014-10-29 – 2014-10-31
    • Related Report
      2014 Research-status Report
  • [Presentation] RBF型関数の違いが拡張境界節点法の性能に与える影響2014

    • Author(s)
      齋藤歩, 伊東拓, 松井伸之,神谷淳
    • Organizer
      日本応用数理学会2014年度年会講演予稿集
    • Place of Presentation
      政策研究大学院大学(東京都・港区)
    • Year and Date
      2014-09-03 – 2014-09-05
    • Related Report
      2014 Research-status Report
  • [Presentation] 西洋ミツバチ標準脳断層画像データから3次元モデルへの再構成2014

    • Author(s)
      駒野敦士, 齋藤歩, 礒川悌次郎, 池野英利, 上浦尚武, 松井伸之
    • Organizer
      第43回数値解析シンポジウム講演予稿集
    • Place of Presentation
      ホテル日航八重山(沖縄県・石垣市)
    • Year and Date
      2014-06-11 – 2014-06-13
    • Related Report
      2014 Research-status Report
  • [Presentation] 前眼部OCTによる個人認証に関する一考察2014

    • Author(s)
      筒井凌太, 上浦尚武, 松井伸之, 礒川悌次郎, 齋藤歩, 田渕仁志
    • Organizer
      第58回システム制御情報学会研究発表講演会講演論文集
    • Place of Presentation
      京都テルサ(京都府・京都市)
    • Year and Date
      2014-05-21 – 2014-05-23
    • Related Report
      2014 Research-status Report
  • [Presentation] Speed Improvement of Extended Boundary-Node Method by Applying of Radial Point Interpolation Method

    • Author(s)
      A.Saitoh, T.Itoh, N.Matsui and A.Kamitani
    • Organizer
      32nd JSST Annual Conference (JSST 2013)
    • Place of Presentation
      明治大学駿河台キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] 拡張境界節点法の高速化-形状関数が計算スピードに与える影響-

    • Author(s)
      大西章介, 齋藤歩, 伊東拓, 神谷淳, 上浦尚武, 松井 伸之
    • Organizer
      日本応用数理学会2013年度年会
    • Place of Presentation
      アクロス福岡
    • Related Report
      2013 Research-status Report
  • [Presentation] サポートベクターマシンに基づく眼科検査種決定法

    • Author(s)
      上浦尚武, 齋藤歩, 礒川悌次郎, 松井伸之
    • Organizer
      第36回多値論理フォーラム
    • Place of Presentation
      姫路市市民会館
    • Related Report
      2013 Research-status Report
  • [Presentation] 時空間画像解析によるミツバチダンス行動の検出

    • Author(s)
      藤井昌樹, 礒川悌次郎, 池野英利, 上浦尚武, 齋藤歩, 松井伸之
    • Organizer
      計測自動制御学会システム・情報部門学術講演会
    • Place of Presentation
      ピアザ淡海
    • Related Report
      2013 Research-status Report
  • [Remarks]

    • URL

      http://www.eng.u-hyogo.ac.jp/eecs/eecs12/publications_i.html

    • Related Report
      2014 Research-status Report
  • [Remarks]

    • URL

      http://www.eng.u-hyogo.ac.jp/eecs/eecs12/publications_j.html

    • Related Report
      2014 Research-status Report

URL: 

Published: 2014-07-25   Modified: 2019-07-29  

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