• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2000 Fiscal Year Final Research Report Summary

Computation Mechanics and Domain Decompsition Methods

Research Project

Project/Area Number 10555023
Research Category

Grant-in-Aid for Scientific Research (B).

Allocation TypeSingle-year Grants
Section展開研究
Research Field Engineering fundamentals
Research InstitutionNihon University

Principal Investigator

NAKAMURA Masaaki  Nihon University, College of Science and Technology, Professor, 理工学部, 教授 (00017419)

Co-Investigator(Kenkyū-buntansha) IKEDA Tsutomu  Ryukoku University, Faculty of Science and Technology, Professor, 理工学部, 教授 (50151296)
TABATA Masahisa  Kyushu University, Faculty of Mathematics, Professor, 数理学研究院, 教授 (30093272)
IMAI Hitoshi  The University of Tokushima, Faculty of Engineering, Professor, 工学部, 教授 (80203298)
MORI Masatake  Kyoto University, Research Institute of Mathematical sciences, Professor, 数理解析研究所, 所長(研究者) (20010936)
ZHANG Shao-liang  University of Tokyo, Faculty of Technology, Associate Professor, 工学系研究所, 助教授 (20252273)
Project Period (FY) 1998 – 2000
Keywordsdomain decomposition / parallel computing / PVM / precondition / simulation / Navier-Stokes equation / phase separation / nonlinear problems
Research Abstract

In the term of the project (three years) many results are obtained. Important results are shown as follows.
1. Development of numerical simulation for computation mechanics. New method of a fast numerical computation. Gauss elimination package using PVM and paralel computaions. Numerical simulation in Infinite precisions. New pre-condition methods. Analysis of numerical integrations. Mesoscopic simulation of concrete materials.
2. Applied and numerical analysis of nonlinear problems. Analysis of the system of phase separations. Error estimates using Hausdorff metric. Code of finite element methods for mandtle convections. Analysis of reaction-diffusion systems. Navier-Stokes equations with friction type boundary conditions. Numerical methods for free boundary problems. Analysis of Ginzburg-Landau equation.
3. Numerical simulations of several fluid dynamics. Two-phase flows. Navier-Stokes flows.

  • Research Products

    (42 results)

All Other

All Publications (42 results)

  • [Publications] T.Akiyama,H.Kasai and M.Tsutsumi,: "On the Cauchy problems of the time dependent Ginzugurg-Landau equations in R^3,"GAKUTO International Series, Mathematical Sciences and Applications.. 14. 1 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Saito and H.Fujita: "Remarks on traces of H^1 function defined in a domain with coners."Journal of Mathematical Science of the University of Tokyo. 7. 325-345 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Fujita,: "Non-stationary Stokes flows under leak boundary condition of friction type,"Journal of computing Mathematics.. 19-1. 1-8 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mori and M.Sugihara,: "The double exponential transformation in numerical analysis."Journal of Comput.Appl.Math.. (to appear). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mori,: "Optimality of the double exponential transformation in numerical analysis."Sugaku. (to appear). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Saitoh and M.Mori,: "representation of analytic functions in terms of local values by means of the Riemann mapping function,"Complex Variables. (to appear). (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M Tabata and D.Tagami: "A finite element analysis of a linerarized problem of the Navier-Stokes equations with surface tension,"SIAM journal on Numerical Analysis,. 38. 40-57 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M Tabata and D.Tagami: "Error estimate for finite element approximation of drag and lift in nonstationary Navier-Stokes flows."Japan Journal of Industrial and Applied Mathematics.. 17. 371-389 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M Tabata,: "Uniform solvability of finite element solution in approximate domains."Japan Journal of Industrial and Applied Mathematics.. (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.-L.Zhang R.-H.Wang,Y.Oyanagi and W.Li,: "A kind of bivariate cubic splines and related linear operators on Type-I triangulation."Japan Journal of Industrial and Applied Mathematics.. 17-3. 391-402 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.-L.Zhang,Y.Oyanagi and M.sugihara,: "Necessary and sufficient conditions for convergences of Orthomin(k) on singular and inconsistent linear systems."Numerisch Mathematik. 87-2. 391-405 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Akiyama,H.Kasai and M.Tsutsumi,: "On the existence of the solutions of the time dependent Ginzugurg-Landau equations in R^3,"Funckciakaj Ekvacioj. 43. 255-270 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M Tabata and A.Suzuki: "A stabilized finite element method for the Rayleigh-Banard equations with infinite Parandtle number in a spherical shell,"Comput. Methods Appl.Medch.Engrg.. 190. 387-402 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tarmizi,T.Takeuchi,H.Imai and M.Kushida.: "Numerical simulation of one-dimensional free boundary problems in infinite precision."Advances in Mathematical Sciences and Applications.. 10,No.2. (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Tarmizi,T.Takeuchi,H.Imai and M.Kushida: "Numerical simulation of some one-dimensional free boundary problems in arbitrary precision."GAKUTO International Series, Mathematical Sciences and Applications,. 14. 440-452 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Imai,N.ishimura and T.Aiki: "Analysis on ohe-phase Stefan problems for semilinear parabolic equations with the Dirichlet boundary condition."GAKUTO International Series, Mathematical Sciences and Applications.. 14. 176-183 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 大森克史: "アダプティブ有限要素法に対するメッシュ生成法の評価"富山大学教育学部研究論集. 30. 33-44 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Suito and H.kawarada,: "Shape optimization for an acoustic problems."Proceedings of 12th international conference on domain decomposition methods,. 419-426 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Akiyama,H.Kasai and M.Tsutsumi,: "On the Cauchy problems of the time dependent Ginzugurg-Landau equations in R^3,"GAKUTO International Series, Mathematical Sciences and Applications.. 14. 1-10 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Saito and H.Fujita: "Remarks on traces of H^1 function defined in a domain with coeners."Journal of Mathematical Science of the University of Tokyo,. 7. 325-345 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Fujita,: "Non-stationary Stokes flows under leak boundary conditions of friction type,"Journal of computing Mathematics.. 19-1. 1-8 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mori and M.Sugihara,: "The double exponential transformation in numerical analysis."Journal of Comput.Appl.Math.. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Mori,: "Optimality of the double exponential transformation in numerical analysis."Sugaku. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] s.Saitoh and M.Mori,: "representation of analytic functions in terms of local values by means of the Riemann mapping function,"Complex Variables. (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] N.Ishimura and M.Nakamura: "Nonexistence of monotonic solutions of some third order ODE relative to the Kuramoto-Sivashinsky equation."Tiwanese journal of mathematics. vol.4. 621-625 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Ishimura and M.Nakamura: "Note on nonexistence of monotonic steady solutions of the Kuramoto-Sivashinsky equation"Ann.Univ.Ferrara, Sez.VII, Sc.Mat. to appear. XLVV. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Hanada, N.Ishimura and M.Nakamura: "Note on steady solution of the Eguchi-Oki-Matsumura equation."Proc.Japan Acad.. vol.76. 146-148 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Tarmizi (Coauthor : T.Takeuchi, H.Imai): "NUMERICAL SIMULATION OF ONE-DIMENSIONAL FREE BOUNDARY PROBLEMS IN INFINITE PRECISION"Advances in Mathematical Sciences and Applications, Gakkotosho. Vol.10, No.2 (to appear). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Ikeda and T.Ikeda: "Bifurcation phenomena from standing pulse solutions of bistable reaction-diffusion systems"Journal of Dynamics and Differential Equations. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Ikeda, H.Ikeda and M.Mimura: "Hopf bifurcation of traveling pulses in some bistable reaction-diffusion systems"Methods and Applications of Analysis. vol 7. 165-194 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Mimura (Coauthor : T.Ikeda): "Dynamics of traveling breathers arising in reaction-diffusion systems - ODE modelling approach-"Hiroshima Mathematical Journal. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and A.Suzuki: "A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtle number in a spherical shell"Comput. Methods Appl.Mech.Engrg.. vol.19. 387-402 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata and D.Tagami: "A finite element analysis of a linerarized problem of the Navier-Stokes equations with surface tension"SIAM journal on Numerical Analysis. vol.38. 40-57 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.-L.Zhang, R.-H.Wang, Y.Oyanagi and W.Li: "A kind of bivariate cubic splines and related linear operators on Type-I triangulation."Japan Journal of Industrial and Applied Mathematics.. vol.17, No.3. 391-402 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.-L.Zhang, Y.Oyanagi and M.sugihara: "Necessary and sufficient conditions for convergences of Orthomin (k) on singular and inconsistent linear systems."Numerisch Mathematik. vol.87, No.2. 391-405 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akiyama, H.Kasai and M.Tsutsumi: "On the existence of the solutions of the time dependent Ginzugurg-Landau equations in R^3"Funckciakaj Ekvacioj. vol.43. 255-270 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Akiyama, H.Kasai and M.Tsutsumi: "On the Cauchy problems of the time dependent Ginzugurg-Landau equations in R^3"GAKUTO International Series, Mathematical Sciences and Applications.. vol.14. 1-10 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] N.Saito and H.Fujita: "Remarks on traces of H^1 function defined in a domain with coners."Journal of Mathematical Science of the University of Tokyo. vol.7. 325-345 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Fujita: "Non-stationary Stokes flows under leak boundary conditions of friction type"Journal of computing Mathematics.. vol.19, No.1. 1-8 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Mori and M.Sugihara: "The double exponential transformation in numerical analysis."Journal of Comput.Appl.Math.. (to appear). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.Saitoh and M.Mori: "representation of analytic functions in terms of local values by means of the Riemann mapping function"Complex Variables. (to appear). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Suito and H.Kawarada: "Shape optimization for an acoustic problems."Proceedings of 12th international conference on domain decomposition methods. 419-426 (2001)

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2002-03-26  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi