
Journal of Computational Science and Technology, Vol.4, No.2 (2010), Special Issue on Computational Mechanics Conference 2009 - JCST, pp.105-120. 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.121-135. Balancing domain decomposition for non-stationary incompressible flow problems using a characteristic-curve method. IOP Conference Series: Materials Science and Engineering, Vol.10, No.1 (2010), 012029. Incomplete balancing domain decomposition for large scale 3-D non-stationary incompressible flow problems. Transactions of the Japan Society for Industrial and Applied Mathematics, Vol.22, No.3 (2012), pp.171-179. Finite difference approximation requiring function values on non-grid points.
#Notsu translation generator#
A self-organized mesh generator using pattern formation in a reaction-diffusion system. Journal of Algorithms & Computational Technology, Vol.7, No.3 (2013), pp.343-380. Development and L 2-analysis of a single-step characteristics finite difference scheme of second order in time for convection-diffusion problems. Networks and Heterogeneous Media, American Institute of Mathematical Sciences, Vol.9, No.4 (2014), pp.617-634. Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity. Performance evaluation of iterative methods for complex symmetric systems from high frequency electromagnetic field simulation. Error estimates of a pressure-stabilized characteristics finite element scheme for the Oseen equations.

Error estimates of a stabilized Lagrange-Galerkin scheme for the Navier-Stokes equations. A local analysis of the axisymmetric Navier-Stokes flow near a saddle point and no-slip flat boundary. International Journal for Numerical Methods in Fluids, Vol.81 (2016), pp.523-557. Energy dissipative characteristic schemes for the diffusive Oldroyd-B viscoelastic fluid. Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme. Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part II: A linear scheme. Microfluidics and Nanofluidics, Vol.22 (2018), 80. Multi-axial non-contact in situ micromanipulation by steady streaming around two oscillating cylinders on holonomic miniature robots. The gradient flow structure of an extended Maxwell viscoelastic model and a structure-preserving finite element scheme. Japan Journal of Industrial and Applied Mathematics, Vol.36 (2019), pp.959-985. Analysis of a projection method for the Stokes problem using an ε-Stokes approach. Chaos in nanomagnet via feedback current. Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media.ĭiscrete & Continuous Dynamical Systems - S, Vol.14(2021), pp.1197-1212. Press Release: English, Japanese1, Japanese2, Japanese3 Second-order finite difference approximations of the upper-convected time derivative. A convective boundary condition for the Navier-Stokes equations. Evolution Equations and Control Theory, 2022. A shape optimization problem constrained with the Stokes equations to address maximization of vortices. Computational and Applied Mathematics, Vol.41(2022), 167. A shape design problem for the Navier-Stokes flow with a convective boundary condition. Journal of Scientific Computing, Vol.92(2022), 37. A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems.

List of Papers Research Papers (refereed)
