UEDA Yuki Associate Professor

Applied Mathematics

Organization
Research Institute for Electronic Science
Research Interest
Applied Mathematics, Partial Differential Equations
Keywords
Numerical Analysis, Finite Element Method, Fluid Problems, Surface Phenomena

Research Activities

My research topic is the numerical analysis for partial differential equations. I am interested not only in mathematical models for phenomena, but also numerical methods for the mathematical models. My research aims to prove the mathematical properties of the numerical methods, and justify the simulations based on the methods. My interests includes Finite Element Methods and Isogeometric Analysis. I am also interested in the numerical methods for PDFs, such as the total variation flow, for which standard numerical methods are difficult to apply.

Papers

  • B. Li, M. Shu and Y. Ueda. “Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data”. ESIAM:M2AN, Vol.56 (2022).
  • Y. Ueda, Y. Otoguro, K. Takizawa and T. E. Tezduyar. “Element-Splitting-Invariant Local-Length-Scale Calculation in B-Spline Meshes for Complex Geometries”. M3AS, Vol.30, No.11 (2020).
  • B. Li, Y. Ueda and G. Zhou. “A second-order stabilization method for linearizing and decoupling nonlinear parabolic systems”. SIAM J. Numer. Anal., Vol.58, Issue 5 (2020).　　　
  • Y. Giga and Y. Ueda. “Numerical computations of split Bregman method for fourth order total variation flow”. J. Comput. Phys., Vol.405 (2020).

WebPage

Link

yukiueda（at）es.hokudai.ac.jp