Shinya UCHIUMI

E-mail
Address: Laboratory of Mathematical Modeling, Research Institute for Electronice Science,
Kita 12 Nishi 7, Kita-ku, Sapporo, Hokkaido 060-0812, Japan
Affiliation: Laboratory of Mathematical Modeling, Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University
Title: Assistant Professor
Degree: Doctor of Science

Discipline: applied mathematics, numerical analysis for PDEs
Equations: convection-diffusion equation, Navier-Stokes equations
Methods: finite element method, method of characteristics, Lagrange-Galerkin method, pressure-stabilized method, projection method

S. Uchiumi.
A pressure-stabilized projection Lagrange--Galerkin scheme for the transient Oseen problem.
arXiv:2111.04018 [math.NA]

M. Tabata and S. Uchiumi.
Behavior of Lagrange-Galerkin solutions to the Navier-Stokes problem for small time increment.
Numerical Methods for Partial Differential Equations, 39(6), pp. 4295--4316, 2023.
doi:10.1002/num.23051
S. Uchiumi.
A Viscosity-Independent Error Estimate of a Pressure-Stabilized Lagrange-Galerkin Scheme for the Oseen Problem.
Journal of Scientific Computing, 80(2), pp. 834--858, 2019.
doi:10.1007/s10915-019-00958-7.
M. Tabata and S. Uchiumi.
Numerical computation of triangular cavity flows by a Lagrange-Galerkin scheme with a locally linearized velocity.
Journal of Advanced Simulation in Science and Engineering, Vol. 4, No. 1, pp. 1--13, 2018.
doi:10.15748/jasse.4.1
M. Tabata and S. Uchiumi.
An exactly computable Lagrange-Galerkin scheme for the Navier-Stokes equations and its error estimates.
Mathematics of Computation, Vol. 87, pp. 39--67, 2018.
doi:10.1090/mcom/3222
M. Tabata and S. Uchiumi.
A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems.
Japan Journal of Industrial and Applied Mathematics, Vol. 33, No. 1, pp. 121--143, 2016.
doi:10.1007/s13160-015-0196-2
S. Uchiumi.
Conditional stability of the Lagrange-Galerkin scheme with numerical quadrature.
JSIAM Letters, Vol. 7, pp. 61--64, 2015.
doi:10.14495/jsiaml.7.61

S. Uchiumi.
Lagrange-Galerkin schemes with a locally linearized velocity for the flow problems.
Waseda University, February 2017.
Link -> Honbun-7469.pdf

Supervisor: Professor Masahisa Tabata
(Professor Emeritus of Kyushu University)
Doctor of Science: Waseda University, March 2017
Master of Science: Waseda University, March 2014
Bachelor of Science: Waseda University, March 2012