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2003 Fiscal Year Final Research Report Summary

Development of Verified Methods for Numerical Simulations with Domain Decompsition Methods

Research Project

Project/Area Number 13555021
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, Collegs of Science and Technology, Professor, 理工学部, 教授 (00017419)

Co-Investigator(Kenkyū-buntansha) TABATA Masahisa  Kyushu University, Faculty of Mathematics, Professor, 数理学研究院, 教授 (30093272)
IKEDA Tsutomu  Ryukoku University, Faculty of Science arid Technology, Professor, 理工学部, 教授 (50151296)
IMAI Hitoshi  The University of Tokushima, Faculty of Engineering, Professor, 工学部, 教授 (80203298)
ZHANG Shao-liang  University of Tokyo, Faculty of Technology, Associate Professor, 大学院・工学系研究科, 助教授 (20252273)
MORI Masatake  Tokyo Denki University, School of Science and Technology, Professor, 理工学部, 教授 (20010936)
Project Period (FY) 2001 – 2003
Keywordsdomain decomposition / parallel computing / FEM and FDM / precondition / simulation / fluid dynamics / 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 methods fot numerical simulation
New method of a fast numerical computation by vectorization.
Simulation by 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 for finite element methods.
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 microwave problems using multi grids methods.
3. Numerical simulations of several fluid dynamics.
Two-phase flows.
Navier-Stokes flows.
Blood flow in brain

  • Research Products

    (52 results)

All Other

All Publications (52 results)

  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "Stable finite difference scheme for the Eguchi-Oki-Matsumura equation"Journal of Applied Mathematics and Computations. vol.15,No.1. 95-104 (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On Eguchi-Oki-Matsumura equation for phase separation in one space dimension"SIAM Journal on Mathematical Analysis. (To appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equation for phase separation : Numerically guided approach."Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. (World Scientific). 433-442 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On a stable finite difference scheme for a model equation of phase separation."Proceedings of the Third International Workshop on Scientific Computing and Applications. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Ihara et al.: "Identification of gene expression profile in tolerizing murine cardiac allograft by costimulatory blockade"Physiological Genomics. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Imai, T.Takeuchi: "Direct simulation of an integral equation of first kind"Recent Development in Theories & Numerics. Proceedings of International conference on inverse problems. (World Scientific). 247-254 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulation of Cauchy problems for the Laplace operator"Advances in Mathematical Sciences and Applications. 13. 433-442 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 今井 仁司: "応用解析における多倍長計算"数学. 55. 316-325 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Y.Fujita, K.Ohmori: "A comparison theorem for Bellman equation of ergodic control"Differential and Integral Equation. 16. 641-651 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Ohmori, S.Fujima, Y.Fujita: "Convergence analysis of the interfacial transport phenomena"Math.J.of Toyama Univ.. 26. 109-129 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Suito, H.Kawarada: "Numerical simulation of spilled oil by fictitious domain method"JJIAM. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Mayinur Muhammad, M.Mori: "Double exponential formulas for numerical indefinite integration"Journal of Computational and Applied Mathematics. 13,4. 431-448 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による累次積分の計算法"日本応用数理学会論文誌. 13,4. 485-493 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 安田 英典: "2相流浅水波方程式と不変的差分スキーム"日本応用数理学会論文誌. 13. 45-57 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 安田 英典: "2相流浅水波方程式の2次元不変的差分スキーム"日本応用数理学会論文誌. 13. 417-438 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Igarashi, K.Ooi, T.Honma: "A magnetostatic reconstruction of permeability distribution in material"Inverse problems in Engineering Mechanics IV Elsevier. 383-388 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M Tabata: "Finite element approximation to infinite Prandtl number Boussinesq equations with temperature dependent coefficients- thermal convection problems in a spherical shell"Future Generation Computer Systems. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 曾我部知広, 金成海, 阿部邦美, 張紹良: "CGS法の改良について"日本応用数理学会論文誌. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Abe, S.-L.Zhang: "A Strategy of fast solvers for elliptic boundary value problems"Shock Waves/ Vortex Intersections, Proceedings of the 4th international workshop on Shock Wave/Vortex Intersections. 169-177 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 曾我部知広, 藤野清次, 張紹良: "COCG法の積型解法について"京都大学数理解析研講究録. 1320. 201-211 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interfaces"International Journal of computational fluid dynamics. (to appear). (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Watanabe, H.Igarashi, T.Honma: "Convergence of multigrid method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1674-1676 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Igarashi, T.Honma: "Convergence of preconditioned conjugate gradient method applied to driven microwave problems"IEEE Trans.Magn.. 39,3. 1705-1708 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 和木, 五十嵐, 本間: "構造物内部の透磁率分布の逆解析"AEM学会誌. 11,2. 82-87 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 渡辺, 五十嵐, 本間: "辺有限要素解析におけるマルチグリッド法のロバスト性について"電気学会論文誌. 123,3. 257-262 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Igarashi, K.Ooi, T.Honma: "A magnetostatic reconstruction of permeability distribution in material"Inverse problems in Engineering Mechanics IV Elsevier. 383-388 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 森正武, マイヌルメメット: "二重指数関数型変換による不定積分の計算法"日本応用数理学会論文誌. 13,3. 361-366 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Baba, H.Kawarada, W.Nishijima, M.Okada, H.Suito: "Waves and Tidal Flat Ecosystems"Springer. 164 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤田 宏: "大学での微積分学I"岩波書店. 173 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 藤田 宏: "大学での微積分学II"岩波書店. 298 (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T, Hanada, N.Ishimura, M.Nakamura: "Stable finite difference scheme for the Eguchi-Oki-Matsuinura equation"Journal of Applied Mathematics and Computations. vol.15,No.1. 95-104 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Hanada, N.Ishimura, M.Nakamura: "On Eguchi-Oki-Matsumura eqaution for phase separation in one space dimension"SIAM Journal of Mathematical Analysis. (To appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Y.Fujita, K.Ohmori: "A comparison theorem for Bellman equation of ergodic control"Differential and Integral Equation. vol.16. 641-651 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K.Ohmori, S.fujima, y.Fujita: "Convergence analysis of the interfacial transport phenomena"Math.J.of Toyama Univesity. vol.26. 109-129 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Takeuchi, H.Imai: "Direct numerical simulation of Cauchy problems for the Laplace operator"Advances in Mathematical Sciences and Applications, Gakkotosho. Vol.13. 433-442 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Nagayama, H.Ikeda et al.: "Three-dimensional numerical simulations of hellically propagating combustion"J.of Material Sciences and processing. vol.9,No.3. 153-163 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Imai et al.: "Numerical computation of Lyapunov exponents related to attractors in a free boundary problems"Nonlinear Analysis. vol 47. 3823-3833 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Kawamura et al.: "Numerical study of the flow and dynamics around a Cross-flow turbine"Theoretical and Applied Mechanics. vol.51. 231-240 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M.Tabata, A.Suzuki: "Mathematical modeling and numerical simulation of Earth's mantle convection"Springer Lecture Note in computational Science and Engineering. vol.19. 161-177 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Rui, M.Tabata: "A second order characteristic finite element scheme for convection-diffusion problems"Numericshe Mathematik. vol.92. 161-177 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Suito, H.Kawarada: "Numerical simulations of spilled oil by fictitious domain method"Japan jpurnal of Industrial and Applied Mathematics. (to appear). (2004)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Z.-Z.Bai, S.-L.Zhang: "A regularized conjugate gradient method for solving symmetric psitive definite system of linear equations"Journal of Computational Mathematics. vol.20,No.4. 437-448 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S.-L.Zhang: "A class of product-type Krylov-subspace methods for solving non-symnetric linear systems"Journal of Computational and Applied Mathematics. vol.149,No.1. 297-305 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Tanaka: "Solutions of radiative transfer in aniis6tropic plane-parallel atmosphere"J.Quantitaive Specroscopy & Radiattive Transfer. vol.83. 557-577 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Tanaka: "Integration of Chandrasekhar's integral equations"J.Quantitaive Specroscopy & Radiattive Transfer. vol.76. 121-144 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Igarashi, K.Ooi, H.Honma: "Convergence of multigrid method for edge-based finitie elemnet methosd"IEEE Trans.Magn.. vol.39,No.3. 1674-1676 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Igarashi, K.Ooi, H.Honma: "Convergence of preconditioned conjugate gradient method dapplied to driven microwave problems."IEEE Trans.Magn.. vol.39,No.3. 1705-1708 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Fujita: "A coherent analysis of Stokes flows under boundary conditions of friction type"Journal ComAppl.Math. vol.149. 57-69 (2002)

    • 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.Muhammad, M.Mon: "Double exponential formula for numerical indefinite integrations"Journal of Comput.Appl.Math.. vol 161,No.2. 431-448 (2003)

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

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Published: 2005-04-19  

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