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Research on domain decomposition methods for partial differential equations

Research Project

Project/Area Number 07650073
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionChiba University, Faculty of Engineering

Principal Investigator

KAWARADA Hideo  Chiba Univ.Eng.Prof., 工学部, 教授 (90010793)

Co-Investigator(Kenkyū-buntansha) KOSHIGOE Hideyuki  Chiba Univ.Eng.Ass., 工学部, 助手 (70110294)
SAWAGURI Toshio  Chiba Univ.Eng.Ass.Prof., 工学部, 助教授 (50009271)
MATSUBA Ikuo  Chiba Univ.Eng.Prof., 工学部, 教授 (30251177)
KENMOCHI Nobuyuki  Chiba Univ.Education Prof., 教育学部, 教授 (00033887)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,200,000 (Direct Cost: ¥2,200,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1995: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsDomain decomposition method / Numerical analysis / Parallel argorithm / Partial differential equation / Fluid mechanics / Optimal control / Fuzzy optimization method / Mountain crossing algorithm / Domain decomopsition method
Research Abstract

(A) We organized two international conferences in the period from 1995 to 1996. The titles of them are the followings.
1.Parallel Algorithm for Scientific and Engineering Computations (Chiba University, May 22-24,1995).
2.Domain Decomposition Method and Related Topics (Research Institute for Mathematical Sciences, Kyoto University, July 17-19,1996).
The above conferences were effective to carry out our project.
(B) Our results of project are as follows.
1.Developement of algorithm in optimal control problems.
We call it multi-start FOM-MCA.
2.Multi-start FOM-MCA algorithm was applied to the problem on control of free boundary for steady Navier-Stokes flow in dimenssion 3.
3.The analysis for penetration phenomenon of magnetic field into superconductor.
4.The analysis and simulation on wave motion on sloping beach.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (37 results)

All Other

All Publications (37 results)

  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into superconducting material:Modeling and simulation" Soc.Industrial and Applied Mathematics,INRIA. 385-394 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 河原田 秀夫: "ファジィ平均の提案" 京都大学 数理解析研究所 講究録. 891. 168-179 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 河原田 秀夫: "精練炉における非定常信号問題の扱いについての一考察-ファジィ平均、ウイグナ-分布解析法の適用を中心として" 京都大学 数理解析研究所 講究録. 891. 180-185 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Fujita: "Distribution theoretic approach to fictitious domain method for Neumann problems" East-West J.Numer.Math.3・2. 111-126 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Fujita: "Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions" Lecture Notes in Num.Appl.Anal.14. 17-31 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] B.Dacorogna: "The quasiconvex envelope of th Saint Venant-Kirchhoff stored energy function in dimension 2" Analyse et Analyse numerique,EPFL. 08.95. 1-9 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 腰越 秀之: "Approximation of boundary values for Maxwell's equations by use of fictitious domain method" 統計数理研究所 共同研究リポート. 85. 29-38 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into superconducting material" Advance in Math.Sci.and Appl.6. 125-133 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "Mathematical model for penetration phenomenon of magnetic field into superconductor" Theoretical and Applied Mechanics. 45. 59-63 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Damlamian: "Evolution equations generated by subdifferentials in the dual space-H'(Ω)" U.R.A.169 du C.N.R.S.1154. 1-14 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Damlamian: "Evolution equations associated with non-isothermal phase transitions" U.R.A.169 du C.N.R.S.1158. 1-15 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into superconducting material : Modeling and simulation" Soc.Ind.and Appl.Math., INRIA. 385-394 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Fujita: "Distribution theoretic approach to fictitious domain method for Neumann problems" East-West J.Numer.Math. Vol.3, No.2. 111-126 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Fujita: "Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions" Lecture Notes in Num.Appl.Anal.Vol.14. 17-31 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] B.Dacorogna: "The quasiconvex envelope of the Saint Venant-Kirchhoff stored energy function in dimenstion 2" Analyze et Analyze numerique, EPFL. Nr.08.95. 1-9 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Koshigoe: "Approximation of boundary values for Maxwell equations by use of fictitious domain method" (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into superconducting material" Advance in Math.Sci.and Appl.Vol.6. 125-133 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "Mathematical model for penetration phenomenon of magnetic field into superconductor" Theoretical and Applied Mechanics. Vol.45. 59-63 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Damlamian: "Evolution equations generated by subdifferentials in the dual space of H^1 (OMEGA)" U.R.A.169 du C.N.R.S.No.1154. 1-14 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] A.Damlamian: "Evolution equations associated with non-isothermal phase transitions" U.R.A.169 du C.N.R.S.No.1158. 1-15 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into super-conducting material : Modeling and simulation" Soc.Industrial and applied Mathematics,INRIA. 385-394 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 河原田秀夫: "ファジィ平均の提案" 京都大学数理解析研究所 講究録. 891. 168-179 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 河原田秀夫: "精練炉における非定常信号問題の扱いについての一考察-ファジィ平均,ウイグナ-分布解析法の適用を中心として" 京都大学数理解析研究所 講究録. 891. 180-185 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Fujita: "Distribution theoretic approach to fictitious domain method for Neumann problems" East-West J.Numer.Math.3・2. 111-126 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Fujita: "Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions" Lecture Notes in Num.Appl.Anal.14. 17-31 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] B.Dacorogna: "The quasiconvex envelope of th Saint Venant-Kirchhoff stored energy function in dimension 2" Analyse et analyse numerique,EPFL. 08・95. 1-9 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] 腰越秀之: "Approximation of boundary values for Maxwell's equations by use of fictitious domain method" 統計数理研究所 共同研究リポート. 85. 29-38 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Kawarada: "On penetration phenomenon of magnetic field into superconducting material" Advance in Math.Sci.and Appl.6. 125-133 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H.Kawarada: "Mathematical model for penetration phenomenon of magnetic field into superconductor" Theoretical and Applied Mechanics. 45. 59-63 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] A.Damlamian: "Evolution equations generated by subdifferentials in the dual spaceH'( )" U.R.A.169 du C.N.R.S.1154. 1-14 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] A.Damlamian: "Evolution equations associated with non-isothermal Phase transitions" U.R.A.169 du C.N.R.S.1158. 1-15 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] H. Kawarada: "Distribution theoretic approach to fictitions clomain method for Neumann problems" East-West J. Numer. Math.Vol. 3, No.2. 111-126 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H. Kawarada: "On Penetration phenomenon of magnetic field into Superconducting matherials (Modeling and simulation)" Mathematical and Numerical Aspects of Wave Propagation, INRIR siam. 385-394 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H. Kawarada: "Analytical and numerical approaches to stationary flow problems with leak and slip boundary conditions" Lecture Notes in Num. Appl. Anal.14. 17-31 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Nobuyuki Kenmochi,Marek Niezgodka: "Viscosity Approach to Modelling Non-isothermal Diffusive Phase Sepration" Japan J. Ind. Appl. Math. Vol. 13. 135-169 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] H. Kawarada, H. Koshigoe: "On penetration Phenomenon of Magnefic field into Superconducting Material" SIAM. 385-394 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] B. Dacorogna, H. Kosigoe: "The quasicondex envelope of the Saint Venant-Kirchhoff Stored energy function in dimension 2" Analyse et Analyse nume rique. 08.95. 1-9 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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