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math.NA2015★ 3 cited
A Lagrange-Galerkin scheme with a locally linearized velocity for the Navier--Stokes equations
Masahisa Tabata, Shinya Uchiumi
We present a Lagrange--Galerkin scheme free from numerical quadrature for the Navier--Stokes equations. Our idea is to use a locally linearized velocity and the backward Euler meth…
math.NA2015★ 1 cited
A genuinely stable Lagrange-Galerkin scheme for convection-diffusion problems
Masahisa Tabata, Shinya Uchiumi
We present a Lagrange-Galerkin scheme free from numerical quadrature for convection-diffusion problems. Since the scheme can be implemented exactly as it is, theoretical stability…