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math.NA2015★ 1 cited
Penalty method with P1/P1 finite element approximation for the Stokes equations under slip boundary condition
Takahito Kashiwabara, Issei Oikawa, Guanyu Zhou
We consider the P1/P1 or P1b/P1 finite element approximations to the Stokes equations in a bounded smooth domain subject to the slip boundary condition. A penalty method is applied…
math.NA2015
Analysis of a reduced-order HDG method for the Stokes equations
Issei Oikawa
In this paper, we analyze a hybridized discontinuous Galerkin(HDG) method with reduced stabilization for the Stokes equations. The reduced stabilization enables us to reduce the nu…