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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)
大森 克史  富山大学, 教育学部, 教授 (20110231)
河原田 秀夫  千葉大学, 工学部, 教授 (90010793)
河村 哲也  お茶の水女子大学, 大学院・人間文化研究科, 教授 (40143383)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥11,200,000 (Direct Cost: ¥11,200,000)
Fiscal Year 2000: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 1999: ¥3,800,000 (Direct Cost: ¥3,800,000)
Fiscal Year 1998: ¥4,200,000 (Direct Cost: ¥4,200,000)
Keywordsdomain decomposition / parallel computing / PVM / precondition / simulation / Navier-Stokes equation / phase separation / nonlinear problems / PVM (parallel virtual machine) / スペクトル法 / 無限精度 / DDM / Computation Mechanics / Hbgonthm / numeHcal sinulation / FEM / FDM
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.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (128 results)

All Other

All Publications (128 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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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
    • Related Report
      2000 Final Research Report Summary
  • [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. 4. 621-625 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Hanada,N.Ishimura and M.Nakamura: "Note on steady solution of the Eguchi-Oki-Matsumura equation."Proc.Japan Acad.. 76. 146-148 (2000)

    • Related Report
      2000 Annual Research Report
  • [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.. XLVV. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Ikeda and T.Ikeda: "bifurcation phenomena from standing pulse in some bistable reaction-diffusion systems."Journal of Dynamics and Differential Equations,. 12. 117-167 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Ikeda,H.Ikeda and M.Mimura: "Hopf bifurcation of travelling pulse in some bistable reaction-diffusion systems."Methods and Applications of Analysis,. 7,No.1. 165-194 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Mimura,M.Nagayama,H.Ikeda,and T.Ikeda: "Dynamics of travelling breathers arising in reaction-diffusion systems-ODE modelling an proach."Hiroshima Mathematical Journal,. 30,No.2. 221-256 (2000)

    • Related Report
      2000 Annual Research Report
  • [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.. 190. 387-402 (2000)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Suito and H.kawarada,: "shape optimization for an acoustic problems."Proceedings of 12th international conferencs on domain decomposition methods,. 419-426 (2001)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [Publications] M Tabata,: "Uniform solvability of finite element solution in approximate domains."Japan Journal of Industrial and Applied Mathematics.. (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] S.-L.Zhang,R..-H.Wang,Y.Oyanagi and W.Li,: "A kind of bbivariate cubic splines and related linear operators on Type-I triangulation."Japan Journal of Industrial and Applied Mathematics.. 17-3. 391-402 (2000)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Fujita,: "Non-stationary Stokes flows under leak boundary conditions of friction type,"Journal of computing Mathematics.. 19-1. 1-8 (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Mori and M.Sugihara,: "The double exponential transformation in numerical analysis."Journal of Comput.Appl.Math.. (to appear). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Mori,: "Optimality of the double exponential transformation in numerical analysis."Sugaku. (to appear). (2001)

    • Related Report
      2000 Annual Research Report
  • [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)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.Ishimura amd M.Nakamura: "Nonexistence of monotonic solutions of some third order ODE relative to the Kuramoto-Sivashinsky equation,"Tiwanese journal of mathematics. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Hanada,M.Nakamura and C.Shima: "Numerical analysis of Eguchi-Oki-Matsumura equations."Gakuto Internatonal Series,Mathematical Sciences and Applicatio:Advances of numerical mathematics in Japan and China. 12. 213-222 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Imai,N.Ishimura and T.Ushijima: "A Crystalline Motion of Spiral-Shaped Curves with Symmetry"Journal of Mathematical Analysis and Applications,. 240. 115-127 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Ooura and M.Mori: "A robust double exponential formula for Fourier-type integrals"J.Comput.Appl.Math.. 112. 229-241 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Imai,T.Takeuchi and M.Kushida;: "ON NUMERICAL SIMULATION OF PARTIAL DIFFERENTIAL EQUATIONS IN INFINITE PRECISION,"Advances in Mathematical Sciences and Applications. 9. 1007-1016 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Imai,N.Ishimura and T.Ushijima: "MOTION OF SPIRALS BY CRYSTALLINE CURVATURE,"Mathematical Modelling and Numerical Analysis,. 33. 797-806 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Sakuragi and K.Ohmori: "Casting simulations using the CIP-Galerkin method,"Computational Fluid Dynamics Journal. 8. 34-42 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] B.Yu,G.-C.Feng and S.-L.Zhang: "The aggregate constaint homotopy method for nonconvex noulinear programming"Nonlinear Analysis:Theory,Methods&Applications. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.-L.Zhang,Y.Oyanagi and M.Sugihara: "Necessary and Sufficient Conditions for Convergence of Orthomin(k) on Singular and Inconsistent Linear Systems"Numerische Mathematik. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Tabata and A.Suzuki: "A stabilized finite element method for the Rayleigh-Benard equations with infinite Prandtl number in a spherical shell,"Comp.Meth.Appl.Mech.Engrg. (to appear).

    • Related Report
      1999 Annual Research Report
  • [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,. (to appear). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Yamada: "On fast iterative solvers for Image-based finite element method,"USNCCM99. Books of abstrcts. 273-273 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Imai,T.Takeuchi,M.Nakamura and N.Ishimura: "A DIRECT APPROACH TO AN INVERSE PROBLEM"GAKUTO International Series,Mathematical Sciences and Applications,Advances in numerical mathematics in Japan and China. 12. 223-232 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Komurasaki,T.Kawamura and K.Kuwahara: "Formation of a Fire Tornado and Its Breakdown"Theoretical and Applied Mechanics. 48. 331-338 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Kan and T.Kawamura: "Numerical Formation of the Barchan Sand Dune"Theoretical and Applied Mechanics. 48. 349-354 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] A.Suzuki,M.Tabata,and S.Honda: "Numerical solution of an unsteady earth's mantle convection problem by a stabilized finite element method"Theoretical and Applied Mechanics. 48. 371-378 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Itakura and M.Tabata: "An error analysis of streaklines as curves"Japan Journal of Industrial and Applied Mathematics. 16. 1-23 (1999)

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  • [Publications] M.Tabata: "Slip boundary conditions and rigid body movements in finite element analysis."Gakuto International Series, Mathematical Sciences and Applications:Advances in Numerical Mathematics in Japan and China. 12. 117-124 (1999)

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  • [Publications] 阿部邦美,緒方秀教,杉原正顯,張紹良,三井斌友: "特異な係数行列をもつ連立一次方程式に対するCR法の収束性"日本応用数理学会論文誌. 9. 1-13 (1999)

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  • [Publications] 菅牧子、河村哲也、岩津玲磨: "低マッハ数近似による熱対流の数値シミュレーション"日本機械学会論文集(B編). 65巻629号. 108-115 (1999)

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  • [Publications] 菅牧子、河村哲也、林農: "砂面上に立てられた円柱まわりの流れと砂の動きの数値的研究"日本機械学会論文集(B編). 65巻629号. 124-129 (1999)

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  • [Publications] 河村哲也、諸星ゆき、神近牧男: "鳥取砂丘上の風速場の3次元数値シミュレーション"日本砂丘学会誌. 46巻2号. (掲載予定)

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  • [Publications] 菅牧子,河村哲也: "典型的な砂丘地形の形成過程の数値シミュレーション"日本砂丘学会誌. 46巻2号. (掲載予定)

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  • [Publications] 藤田宏: "応用数学の流れを見る -山口先生を偲んで-"応用数理学会学会誌. vol.10,No.2. 55-61 (2000)

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  • [Publications] Eds.H.Kawarada,M.Nakamura and C.Z.Shi: "Advances in numerical mathematics in Japan and China: the fourth Japan China joint-seminar on numerical mathematics"Gakko Tosho. 200 (1999)

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  • [Publications] Naoyuki Ishimura and Masa Aki Nakamura: "Characterization on the long time bchavior of the 2D Navier-Stokes equations" Pittman Rcscarch Note in Math.Scrics.Vol.388. 38-44 (1998)

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  • [Publications] Hitoshi Imai, Naoyuki Ishimura and Masa Aki Nakamura: "Convergence of attractors for the simplified magnetic Benard system" Gakuto International series, Mathematical Sciences and Applications. Vol.11. 126-135 (1998)

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  • [Publications] Hitoshi Imai, Naoyuki Ishimura and Masa Aki Nakamura: "On the finite determination of the solutions for the MHD equations" Gakuto International Series, Mathematical Sciences and Applications. vol.11. 136-144 (1998)

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  • [Publications] Hitoshi Imai, Naoyuki Ishimura and Masa Aki Nakamura (invited): "Convergence of fractal dimension of attractors for the simplified magnetic Benard system" The proceedings of third China-Japan seminar on numerical mathematics. 73-81 (1998)

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  • [Publications] Takao Hanada, Masa Aki Nakamura and Chikayoshi Shima: "Numerical analysis of Eguchi-Oki-Matsumura equations." the proceedings of the fourth Japan-China joint-seminar on numeri-cal mathematics. (1999)

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  • [Publications] H.Imai, T.Takeuchi, Masa Aki Nakamura, N.Ishimura: "problem" the proceedings of the fourth Japan-China joint-seminar on numerical mathematics. (1999)

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  • [Publications] 森正武.: "数値解析における二重指数関数型変換の最適性" 数学. 50巻3号. 248-264 (1998)

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  • [Publications] 松尾宇泰.杉原正顕.森正武: "非線形Schroedinger方程式に対する差分スキームの離散的変分による導出" 日本応用数理学会論文誌. 8巻3号. 405-426 (1998)

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  • [Publications] 降旗大介,森正武: "偏微分方程式に対する差分スキームの離散的変分による 統一的導出" 日本応用数理学会論文誌. 8巻3号. 317-340 (1998)

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  • [Publications] Daisuke Furihata and Masatake Mori.: "A general derivation method of finite difference schemes by means of a discrete variation" Proceedings of Third China-Japan Seminar on Numerical Mathematics.44-56 (1998)

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  • [Publications] Takuya Ooura and Masatake Mori: "A robust double exponential formula for Fourier type integrals." Journal of Computational and Applied Mathematics.

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  • [Publications] 田端正久,鈴木厚: "3次元球穀内熱対流問題の有限要素解法" 地球. 20. 743-747 (1998)

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  • [Publications] H.Ikeda and T.Ikeda: "Bifurcation phenomena from standing pulse solutions of bistabie reaction-diffusion systems" Journal of Dynamics and Differential Equations.

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  • [Publications] T.Ikeda and H.Ikeda: "Hopf bifurcation of traveling pulses in some bistable reaction-diffusion systems" Methods and Applications of Analysis.

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  • [Publications] M.Mimura, M.Nagayama, H.Ikeda and T.Ikeda: "An ODE model describing travelling breathers arising in reaction-diffusion systems" Methods and Applications of AnalysIs.

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  • [Publications] 今井仁司,竹内敏己,坂口秀雄,篠原能材,Tarmizi: "偏微分方程式の任意精度数値シミュレーションについて" 数理解析研究所講究録. Vol.1040. 92-99 (1998)

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  • [Publications] T.Takeuchi, H.Imai, Tarmizi Y.Shinohara, H.Sakaguchi, T.Miyakoda: "On Numerical Simulation of Partial Differential Equations in Arbitrary Precision" Science International (Lahore). Vol.10 No.4. (1998)

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  • [Publications] H.IMAI, T.TAKEUCHI and M.KUSHIDA: "On Numerical Simulation of Partial Differential Equations in Infinite Precision" Advances in Mathematical Sciences and Applications.Vol.10 No.1. (2000)

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  • [Publications] Shoichi Fujima: "Iso-P2 P1/P1/P1/ domain-decomposition/finite-element method for the Navier-Stokes equations." "Domain Decomposition Methods 10", contemporary Mathematics. Vol.218. 246-253 (1998)

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  • [Publications] Shoichi Fujima: "Mortar element method for flow problems in primitive variables form." International Journal of Computational Fluid Dynamics. Vol.9. 209-219 (1998)

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  • [Publications] M.Tabata and K.Itakura: "A precise computation of drag coeffcients of a sphere." The International Journal of Computational Fluid Dynamics. Vol.9. 303-311 (1998)

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  • [Publications] M.Tabata: "Finite element approximation to infinite (Prandtl) number (Boussinesq) equations with slip boundary condition." Computational Fluid Dynamics '98. 22-27 (1998)

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  • [Publications] M.Tabata: "A nonconforming finite element approximation to the axisymmetric poisson problem." Proceedings of the Third China-Japan Seminar on Numerical Mathematics. 138-147 (1998)

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  • [Publications] H.Itoh and M.Tabata: "A finite element analysis for a thermal convection Problem at infinite Prandtl number." Hiroshima Mathematical Journal. Vol.28. 555-570 (1998)

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  • [Publications] 河村哲也: "数値流体力学と環境シミュレーション" 理研シンポジウム「スーパーコンピュータと専用計算機における計算科学」講演要旨集. 46-54 (1998)

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  • [Publications] T.KAWAMURA, M.KAN: "Numerical Simulation of Sand Transfer Caused by Fluid Flow" PREPRINTS 16th ICNMFD (International Conference on Numerical Methods in Fluid Dynamics). 267-268 (1998)

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  • [Publications] 菅牧子,河村哲也,岩津玲磨: "低マッハ数近似による熱対流の数値シミュレーション" 日本機械学会論文集(B編). 65巻629号. 108-115 (1999)

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  • [Publications] 河村哲也,菅牧子,林 農: "砂面上に立てられた円柱まわりの流れと砂の動きの数値的研究" 日本機械学会論文集(B編). 65巻629号. 124-129 (1999)

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  • [Publications] 山田貴博: "ストークス流れ問題における気泡関数要素の数値安定性" 第12回数値流体力学シンポジウム講演論文集. 485-486 (1998)

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  • [Publications] 山田貴博: "Cascadic multigrid法のイメージベース解析への適用" 第48回理論・応用力学講演会講演予稿集. 375-376 (1999)

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  • [Publications] 伊藤祥司,張紹良,名取亮: "周期境界要素を持つブロック5重対角行列群へのRotated Alternative LU分解法の適用について" 情報処理学会論文集. 39-1. 153-156 (1998)

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  • [Publications] S.-L.Zhang, Y.Oyanagi, M.Sugihara and M.Natori: "Iterative Methods for Solving Linear Singular Systems" Proceedings of the Third China-Japan Joint Seminar on Numerical Mathematics. 305-313 (1998)

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  • [Publications] S.-L.Zhang, M.Natori and C.-H.Jin: "Product-type Krylov-Subspace Methods for Solving Nonsymmetric Linear Systems" Recent Developments in Domain Decomposition Methods and Flow Problems. Vol.11. 95-106 (1998)

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  • [Publications] 阿部邦美,杉原正顕,張紹良,三井斌友,緒方秀教: "ランク落ちの連立一次方程式に対するCR法の収束性" 日本応用数理学会論文誌. 印刷中.

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  • [Publications] 張紹良: "大規模連立1次方程式の解法---クリロフ部分空間法" 応用数理. Vol.8. 301-312 (1998)

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  • [Publications] 川原睦人 他15名(注): "「有限要素法による流れのシミュレーション」" 日本数値流体力学会有限要素法研究委員会編、シュプリンガー・フェアラーク東京、1998.

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  • [Publications] 河村哲也: "環境科学入門" インデックス出版, (1998)

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Published: 1998-04-01   Modified: 2016-04-21  

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