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Co-operative Research on Numerical Analysis of Partial Differential Equations Applied to High Technology.

Research Project

Project/Area Number 04305013
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 広領域
Research InstitutionScience University of Tokyo

Principal Investigator

ONISHI Kazuei  Science Univ.Tokyo, Dept.Sci., Prof., 理学部, 教授 (20078554)

Co-Investigator(Kenkyū-buntansha) TOMOEDA Kenji  Osaka Inst.Tech., Dept.Eng., Prof., 工学部, 教授 (60033916)
ISO Yuusuke  Kyoto Univ., Dept.Sci., Asso.Prof., 理学部, 助教授 (70203065)
TOSAKA Nobuyoshi  Nihon Univ., Dept.Indu.Tech., Prof., 生産工学部, 教授 (00059776)
HAYAKAWA Kantaro  Univ.Osaka Prefec., Dept.Eng., Prof., 工学部, 教授 (10028201)
OKAZAWA Noboru  Science Univ.Tokyo, Dept.Sci., Prof., 理学部, 教授 (80120179)
永倉 安次郎  東京理科大学, 理学部, 教授 (60112900)
Project Period (FY) 1992 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥6,600,000 (Direct Cost: ¥6,600,000)
Fiscal Year 1994: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1993: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1992: ¥2,800,000 (Direct Cost: ¥2,800,000)
KeywordsPartial differential equations / Approximation theory / Numerical analysis / Computational mechanics / Finite element method / Boundary element method / Integral equations / Inverse problems / 代用電荷法 / 自由境界問題
Research Abstract

The research aimed at strengthening and rearranging application-oriented basic theories in the numerical solutions of partial differential equations. It also aimed at promoting transfer of the theories to modern high technology in industries. The objective was emphasized about the following issues --- and some corresponding remarkable results are obtained :
1. New methodologies in numerical solution technique for partial differential equations should be proposed from point of view on their applications to high technology. --- New finite element scheme in computational fluid dynamics, mathematical elucidation of chrge simulation method.
2. Re-examination of mathematical models required in industries for new development of high technology should be taken from point of view on mathematical analysis and computation.--- Highly accurate computation in boundary element technique, new applications of integral equation methods to highly nonlinear mechanics and inverse problems.
Integration in co-operative research work in interdisciplinary areas in science and engineering should be accelerated. --- Several symposiums, forums, and workshops dedicated.

Report

(4 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • 1992 Annual Research Report
  • Research Products

    (69 results)

All Other

All Publications (69 results)

  • [Publications] Onisi,K.: "Neumann problen of the heat equation with corners." Mathematica Japonica. 40. 487-496 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Imai,H.: "Application of the fuzzy theory and spectral collocation methods to an ill-posed shape design problem with a free boundary." Inverse Problems in Mechanics. 186. 103-107 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Nagoya,S.&Ushijima,T.: "Stability analysis for a family of space one dimensional convection diffusion difference schemes." Japan Journal of Industrial and Applied Mathematics. 12(to appear). (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Fijima,S.,Tabata,M. & Fukazawa,y.: "Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up-and downwind points." Computer Methods in Applied Mechanics and Engineering. 112. 109-131 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Yamamoto,M.: "Conditional stability in determination of densities of heat sources in a bounded domain." International Series of Numerical Mathematics. 118. 359-370 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Katsurada,M.: "Charge simulation method using exterior mapping function." Japan Journal of Industrial and Applied Mathematics. 11. 47-61 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 田端,正久: "微分方程式の数値解析法II" 岩波書店, 118 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 藤井,宏、岡本,久: "非線形力学" 岩波書店(近日刊),

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Onishi, K.: "Neumann problem of the heat equation with corners." Mathematica Japonica. 40. 487-496 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Imai, H.: "Application of the fuzzy theory and spectral collocation methods to an ill-posed shape design problem with a free boundary" Inverse Problems in Mechanics. 186. 103-107 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Nagoya, S.& Ushijima, T.: "Stability analysis for a family of space one dimensional convection diffusion difference scheme." Japan Journal of Industrical and Applied Mathematics. 12 (to appear). (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Fujima, S., Tabata, M.& Fukazawa, Y.: "Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points." Computer Methods in Applied Mechanics and Engineering. 112. 109-131 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Yamamoto, M.: "Conditional stability in determination of densities of heat sources in a bounded domain." International Series of Numerical Mathematics. 118. 359-370 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Katsurada, M.: "Charge simulation method using exterior mapping function." Japan Journal of Industrial and Applied Mathematics. 11. 47-61 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Tabata, M.: Numerical Methods in Differential Equations (in Japanese).Iwanami Shoten (Tokyo), 118 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Fujii, H.& Okamoto, H.: Nonlinear Mechanics.Iwanami Shoten, (to appear),

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Onishi,K.: "Neumann problem of the heat equation with corners." Mathematica Japonica. 40. 487-496 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Imai,H.: "Application of the fuzzy theory and spectral collocation methods to an ill-posed shape design problem with a free boundary." Inverse problems in Mechanics. 186. 103-107 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Nagoya,S.& Ushijima,T.: "Stability analysis for a family of space one dimensional convection diffusion difference schemes." Japan Journal of Industrial and Applied Mathematics. 12(to app). (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] Fujima,S.Tabata,M.& Fukazawa,Y.: "Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up-and downwind points." Computer Methods in Applied Mechanics and Engng. 112. 109-131 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Yamamoto,M.: "Conditional stability in determination of densities of heat sources in a bounded domain." International Series of Numerical Mathematics. 118. 359-370 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] Katsurada,M.: "Charge simulation method using exterior mapping functions." Japan Journal of Industrial and Applied Mathematics. 11. 47-61 (1995)

    • Related Report
      1994 Annual Research Report
  • [Publications] 田端正久: "微分方程式の数値解法II" 岩波書店, 118 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] 藤井宏、岡本久: "非線形力学" 岩波書店(近日刊),

    • Related Report
      1994 Annual Research Report
  • [Publications] Onishi,K.,Ishigaki,M. Tokunaga,M.: "Tical current evaluation for the construction of new islands." Computational Mechanics-Sydney. 1117-1122 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Onishi,K.,Kobayashi,K.Ishigaki,M.,Aramaki,G.: "Flow simulation in shallow waters." Computational Engineering-Seoul. 119-124 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 今井仁司・中村正彰: "磁気ベナール対流の簡約化モデルとそのシミュレーション" シミュレーション. 12(2). 99-106 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 今井仁司・周偉東・河原田秀夫 沢栗利男・名取亮: "不適切な問題に対する適用可能な数値解法の検討" 数理解析研究所講究録. 102-112 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 周偉東・今井仁司・名取亮: "自由表面を有する熱対流の数値シミュレーションと線形安定性解析" 日本応用数理学会論文誌. (掲載予定)4(1). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] Hanada,T.,Imai,H.Ishimura,N.: "Analytical approach to estimating the dimension of attractors." Applied Mathematics and Optimization.

    • Related Report
      1993 Annual Research Report
  • [Publications] Ushijima,T.,Matsuki,M.: "Fully discrete approximation of a second order linear evolutionequation related to the water wave problem." Lecture Note of Mathematics. 1540. 361-380 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Ushijima,T.,Fu,R.,Matsuki,M.,: "Numerical analysis of linear water wave problem and eigenvalue problem of Steklov type." Series on Applied Mathematics,World Scientific. 5. 168-183 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Matsuki,M.,Ushijima,T.: "A note on the fractional powers of operators approximating a positive definite selfadjoint operator." Journal of the Faculty of Science,The University of Tokyo. 40-2. 517-528 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Matsuki,M.,Ushijima,T.: "Error estimation of Newmark's method for conservative second order linear evolution equation." Proc. the Japan Academy. (to appear)69. 219-223 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 符儒徳,牛島照夫: "軸対称容器内の水の波固有値問題の有限要素計算-収束率の数値的測定-" 日本応用数理学会論文誌. 3(3). 257-277 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Kanayama,H.,Toshigami,K.Tashiro,Y.,Tabata,M. Fujima,S.: "Finite element analysis of air flow around an automatic guided vehicle." Journal of Wind Engineering and Industrial Aerodynamics. 46&47. 801-810 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Tabata,M.,Fujima,S.Itakura,K.: "Numerical simulation of streamlines emerging from the surface of a circular cylinder in high-Reynolds-number flows." Series on Applied Mathematics,World Scientific. 5. 146-154 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Fujima,S.,Tabata,M.: "Extension to three dimensional problems of the upwind finite element scheme based on the choice of up- and down-wind points." Computational Methods in Applied Mathematics and Engineering. (to appear). (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Ninomiya,H.,Ohishi,K.: "An application of networked Ews to fluid flow analysis." International Journal of Computer Applications in Technology. 5. 175-180 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 今井 仁司,花田 孝郎,河原田 秀夫,名取 亮: "体積変化と接触点の運動を考慮したステファン問題の数値解析" 数理解析研究所講究録. 812. 56-66 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 今井 仁司,周 偉東,名取 亮: "自由表面の運動を陽に取り入れた熱対流モデルとその数値解析について。" 数理解析研究所講究録. 812. 94-98 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kanayama,H.,Toshigami,K.,Tashiro,Y.,Tabata,M.,Fujima,S.: "Finite element analysis of air flow around an automatic guided vehicle." Journla of Wind Engineering. 52. 455-460 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Tabata,M.,Fujima,S.: "Some applications of the third-order finite element approximation" in Ch.Hirsch et al.(Eds),Computational Fluid dynamics. 1. 139-145 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Nogi,T.: "Parallel computation on ADENA" Parallel computing '91. 1. 619-626 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Nogi,T.: "Pjarticle-in-cell codes on ADENA." SIMPO Newsletter,STEP Simulation Promotion Office. 1. 19-29 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 岡本 久,桂田 祐史: "ポテンシャル問題の高速解法" 応用数理. 2. 2-20 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Okamoto,H.: "A uniqueness theorem for unbounded solutions to the 3D Navier-Stokes equations." J.Math.Anal.Appl.(to appear).

    • Related Report
      1992 Annual Research Report
  • [Publications] Okamoto,H.,Shoji,M.: "Bifurcation diagrams in Kolmogorov's problem of incompressible viscous flows in 2D tori." Japan.J.Indus.Appl.Math.(to appear).

    • Related Report
      1992 Annual Research Report
  • [Publications] Ishihara,K.,Yamamoto,M.: "SOR methods for finite difference equations with a nonsymmetric matrix arising from two-point boundary value problems." Mathematica Japonica. 38. 127-139 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Tomoeda,K.,Nakaki,T.: "Difference approximations to interface curves for nonlinear diffusion equations with absorption." Applied Mathematics Letters. 5-6. 41-47 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 友枝 謙二,三村 昌泰: "Numerical computation for through porous media" 物性研だより物性研短期研究会「パーコレーションの理論と応用」. 32-3. 70-71 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Nakagiri,S.,Yoshikawa,N.: "Design change of frame structure to enhance structural reliability." Int.Journal of Pressure Vessel and Piping. 50. 97-107 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 鈴木 敬子,中桐 滋: "外接超球法による最適設計(振動固有値最大化と重量最小化への応用)" 日本機械学会論文集A編. 58. 249-254 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 佐藤 満,結城 良治,吉岡 純夫: "き裂面接触を考慮したLSIパッケージの境界要素熱伝導・熱弾性解析" 日本機械学会論文集A編. 58-550. 859-865 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 結城 良治,許 金泉: "異材界面端の熱応力・残留応力の対数型応力特異性" 日本機械学会論文集A編. 58-556. 2394-2400 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kashiyama,K.,Jiang,C.B.,Yamada,T.: "Three-step Taylor-Galerkin finite element method for orographic rainfall." J.of Wind Engineering. 52. 158-163 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kashiyama,K.,Okada,T.: "Automatic mesh generation method for shallow water flow analysis." Int.J.Numer.Meth.Fluids. 15. 1037-1057 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 角田 和彦,登坂 宣好: "非定常非圧縮粘性流れ問題の指数関数型Petrov-Galerkin有限要素法" 日本建築学会構造系論文報告集. 439. 189-198 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kondo,N.,Tosaka,N.,Nishimura,T.: "Computation of incompressible viscous flows by the third-order upwind finite element method." Int.J.Numer.Meth.Fluids. 15. 1013-1024 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Ktahara,M.et al.: "Phase shift determination of scattered far-fields and its application to an inverse problem." Review of Progress in Quantitative Nondestructive Evaluation. 11. 829-836 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Ktahara,M.et al.: "Neural network for crack-depth determination from ultrasonic backscattering data." Review of Progress in Quantitative NOndestructive Evaluation. 11. 701-708 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 久保 司郎,大路 清嗣,桑山 真二郎: "特異値分解を用いた境界値逆問題の解析とその適切化" 日本機械学会講演文集. 920-78A. 1-3 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 久保 司郎,大路 清嗣,小西 君彦: "材料特性分布推定のための有限要素逆解析手法" 日本機械学会講演論文集. 920-78A. 10-12 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 小島 史男: "ニューラルネっトの非破壊検査への応用" 機械の研究. 45. 258-264 (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kojima,F.: "Backpropagation learning using the true region algorithm and application to nondestructive teating in applied electromagnetics." International Journal of Applied Electromagnetics in Materials(to appear). 3. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 広瀬 壮一,北原 道弘: "層状材料における散乱遠方場の計算" 境界要素法論文集. 9. 31-34 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Hirose,S.,Kitahara,M.: "Ultrasonic scattering analysis to characterize nonlinear behavior of material interfaces." Nondestructive Testing and Evaluation. 8-9. 405-416 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 山口 昌哉: "カオスとフラクタル入門" 日本放送教育出版協会, 152 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 結城 良治(編・著): "界面の力学" 培風館, 300 (1993)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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