90 citations · 251 across the 30 of their papers we have counts for
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Penalty method with Crouzeix-Raviart approximation for the Stokes equations under slip boundary condition
Takahito Kashiwabara, Issei Oikawa, Guanyu Zhou
The Stokes equations subject to non-homogeneous slip boundary conditions are considered in a smooth domain . We propose a finite element scheme bas…
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
Consider the anisotropic Navier-Stokes equations as well as the primitive equations. It is shown that the horizontal velocity of the solution to the anisotropic Navier-Stokes equat…
Maximum norm error estimates for the finite element approximation of parabolic problems on smooth domains
Takahito Kashiwabara, Tomoya Kemmochi
In this paper, we consider the finite element approximation for a parabolic problem on a smooth domain with the inhomogeneous Neumann boundary condition. We…
- and -error estimates of linear finite element method for Neumann boundary value problems in a smooth domain
Takahito Kashiwabara, Tomoya Kemmochi
Pointwise error analysis of the linear finite element approximation for in , on , where is a bounded smooth domain in $\mathbb R^…
The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions
Yoshikazu Giga, Mathis Gries, Matthias Hieber +2
Consider the -d primitive equations in a layer domain , , subject to mixed Dirichlet and Neumann boundary conditions at and , respectiv…