List of Papers

Research Papers (refereed)

  1. M. Lukáčová, H. Mizerová, H. Notsu and M. Tabata. Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part II: A linear scheme. ESAIM: M2AN, in press. doi:10.1051/m2an/2017032 arXiv:1603.01074[math.NA]
  2. .
  3. M. Lukáčová, H. Mizerová, H. Notsu and M. Tabata. Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme. ESAIM: M2AN, in press. doi:10.1051/m2an/2016078 arXiv:1603.01339[math.NA]
  4. .
  5. M. Lukáčová, H. Notsu and B. She. Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid. International Journal for Numerical Methods in Fluids, Vol.81 (2016), pp.523-557. doi: 10.1002/fld.4195

  6. P.-Y. Hsu, H. Notsu and T. Yoneda. A local analysis of the axisymmetric Navier–Stokes flow near a saddle point and no-slip flat boundary. Journal of Fluid Mechanics, Vol.794 (2016), pp.444-459. doi:10.1017/jfm.2016.174

  7. H. Notsu and M. Tabata. Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. ESAIM: M2AN, Vol.50 (2016), pp.361-380. doi:10.1051/m2an/2015047

  8. H. Notsu and M. Tabata. Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations. Journal of Scientific Computing, Vol.65 (2015), pp.940-955. doi: 10.1007/s10915-015-9992-8

  9. M. Ogino, A. Takei, H. Notsu, S. Sugimoto, S. Yoshimura. Performance evaluation of iterative methods for complex symmetric systems from high frequency electromagnetic field simulation. Transaction of JSCES, Vol.2014 (2014), p.20140017. doi: 10.11421/jsces.2014.20140017

  10. H. Notsu and M. Kimura. Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity. Networks and Heterogeneous Media, American Institute of Mathematical Sciences, Vol.9, No.4 (2014), pp.617-634. doi: 10.3934/nhm.2014.9.617

  11. H. Notsu, H. Rui and M. Tabata. Development and L2-analysis of a single-step characteristics finite difference scheme of second order in time for convection-diffusion problems. Journal of Algorithms & Computational Technology, Vol.7, No.3 (2013), pp.343-380. doi: 10.1260/1748-3018.7.3.343, Preprint version

  12. H. Notsu, D. Ueyama and M. Yamaguchi. A self-organized mesh generator using pattern formation in a reaction-diffusion system. Applied Mathematics Letters, Vol.26 (2013), pp.201-206. doi:10.1016/j.aml.2012.08.012

  13. M. Tabata and H. Notsu. Finite difference approximation requiring function values on non-grid points. Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.22, No.3 (2012), pp.171-179 (in Japanese). Link

  14. Q. H. Yao, H. Kanayama, M. Ognio and H. Notsu. Incomplete balancing domain decomposition for large scale 3-D non-stationary incompressible flow problems. IOP Conference Series: Materials Science and Engineering, Vol.10, No.1 (2010), 012029. doi:10.1088/1757-899X/10/1/012029

  15. Q. Yao, H. Kanayama, H. Notsu and M. Ogino. Balancing domain decomposition for non-stationary incompressible flow problems using a characteristic-curve method. Journal of Computational Science and Technology, Vol.4, No.2 (2010), Special Issue on Computational Mechanics Conference 2009 - JCST, pp.121-135. doi:10.1299/jcst.4.121

  16. R. Miresmaeili, N. Saintier, H. Notsu, J.-M. Olive and H. Kanayama. One-way coupled crystal plasticity-hydrogen diffusion simulation on artificial microstructure. Journal of Computational Science and Technology, Vol.4, No.2 (2010), Special Issue on Computational Mechanics Conference 2009 - JCST, pp.105-120. doi:10.1299/jcst.4.105

  17. S. Jimbo, M. Kimura and H. Notsu. Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type. Asymptotic Analysis, Vol.65 (2009), pp.103-123. doi:10.3233/asy-2009-0951

  18. H. Notsu and M. Tabata. A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. Journal of Scientific Computing, Vol.38, No.1 (2009), pp.1-14. doi:10.1007/s10915-008-9217-5

  19. H. Notsu. Numerical computations of cavity flow problems by a pressure stabilized characteristic-curve finite element scheme. Transactions of the Japan Society for Computational Engineering and Science, Online ISSN: 1347-8826 (19 pages). Link

  20. H. Notsu and M. Tabata. A combined finite element scheme with a pressure stabilization and a characteristic-curve method for the Navier-Stokes equations. Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.18, No.3 (2008), pp.427-445 (in Japanese). Link

  21. M. Kimura and H. Notsu. A level set method using the signed distance function. Japan Journal of Industrial and Applied Mathematics, Vol.19, No.3 (2002), pp.415-446. doi:10.1007/BF03167487

  22. M. Kimura and H. Notsu. A level set method using a signed distance function for the mean curvature flow. Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.10, No.2 (2000), pp.101-118 (in Japanese). Link


Proceedings

  1. H. Notsu and M. Tabata. Stabilized Galerkin-characteristics finite element schemes for flow problems. In P. Iványi and B.H.V. Topping (Eds), Proceedings of the Ninth International Conference on Engineering Computational Technology, Civil-Comp Press, Stirlingshire, UK, Paper 71 (13 pages), 2014. doi:10.4203/ccp.105.71

  2. M. Ogino, A. Takei, H. Notsu, S. Sugimoto and S. Yoshimura. Finite element analysis of high frequency electromagnetic fields using a domain decomposition method based on the COCR method. Theoretical and Applied Mechanics Japan, Vol.61 (2013), pp.173-181. doi:10.11345/nctam.61.173


Book chapter

  1. H. Notsu and M. Tabata. Error estimates of a stabilized Lagrange-Galerkin scheme of second-order in time for the Navier-Stokes equations. In Y. Shibata and Y. Suzuki (eds.), Mathematical Fluid Dynamics, Present and Future, pp.497-530, Springer, 2016. doi:10.1007/978-4-431-56457-7_18

  2. H. Notsu and M. Tabata. Stabilized Lagrange-Galerkin schemes of first- and second-order in time for the Navier-Stokes equations. In Y. Bazilevs and K. Takizawa (eds.), Advances in Computational Fluid-Structure Interaction and Flow Simulation: New Methods and Challenging Computations, pp.331-343, Springer, 2016. doi:10.1007/978-3-319-40827-9_26


Feature article

  1. H. Notsu. Theory and practice of Lagrange-Galerkin methods. Journal of the Japan Society for Computational Engineering and Science (JSCES), Vol.20, No.3 (2015), pp.21-24 (in Japanese). PDF


Report

  1. H. Notsu and M. Tabata. Numerical computations of the two and three dimensional nonstationary Navier-Stokes equations by combined finite element schemes with a pressure stabilization and a characteristic-curve method of first and second order in time, Zenkoku Kyodo Riyo System Koho, Vol.3, No.1 (2009), pp.12-21 (in Japanese). PDF


Book review

  1. H. Notsu. The Japanese translation of "Computational Fluid–Structure Interaction: Methods and Applications (Wiley, 2013)" by Y. Tsugawa and K. Takizawa (Morikita, 2015), JSIAM Online Magazine, J1512A (2016) (in Japanese). Link


Awards (research)

  1. Best Poster Award in 2010, JSIAM : H. Notsu, M. Yamaguchi and D. Ueyama. The development of a self-organized mesh generator, JSIAM 2010 Annual Meeting (Sept. 6-9, 2010), Meiji Univ., Tokyo (in J).

  2. Best Paper Award in 2003, JSIAM : M. Kimura and H. Notsu. A level set method using a signed distance function for the mean curvature flow, Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.10, No.2 (2000), pp.101-118 (in J).


Awards (others)

  1. Waseda Teaching Award 2015 (Autumn): H. Notsu. Mathematics B2 (Calculus). November 24, 2016, Waseda University.


Thesis

  • Characteristic-Curve Finite Element Schemes for the Navier-Stokes Equations. March 26th, 2009. PDF