Shinya UCHIUMI

ORCID researchmap

E-mail

Address

Department of Mathematics, Faculty of Science, Gakushuin University,
1-5-1 Mejiro, Toshima-ku, Tokyo 171-8588, Japan

Affiliation

Department of Mathematics, Faculty of Science, Gakushuin University

Title

Assistant Professor

Degree

Doctor of Science

Research Interests

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

Preprint

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

Refereed Papers

6. M. Tabata and S. Uchiumi.
   Behavior of Lagrange-Galerkin solutions to the Navier-Stokes problem for small time increment.
   Accepted for publication in Numerical Methods for Partial Differential Equations.
   
5. 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.
4. 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
3. 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
2. 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
1. 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

Thesis for doctoral degree

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

Education

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