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math.NA2021★ 1 cited
Analysis of fully discrete finite element methods for 2D Navier--Stokes equations with critical initial data
Buyang Li, Shu Ma, Yuki Ueda
First-order convergence in time and space is proved for a fully discrete semi-implicit finite element method for the two-dimensional Navier--Stokes equations with initial dat…
math.NA2019
Numerical computations of split Bregman method for fourth order total variation flow
Yoshikazu Giga, Yuki Ueda
The split Bregman framework for Osher-Solé-Vese (OSV) model and fourth order total variation flow are studied. We discretize the problem by piecewise constant function and compute…