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A stabilized finite element method based on two local Gauss integrations for the Stokes equations
This paper considers a stabilized method based on the difference between a consistent and an under-integrated mass matrix of the pressure for the Stokes equations approximated by the lowestExpand
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A new stabilized finite element method for the transient Navier-Stokes equations
Abstract This paper is concerned with the development and analysis of a new stabilized finite element method based on two local Gauss integrations for the two-dimensional transient Navier–StokesExpand
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Analysis of finite element approximations of a phase field model for two-phase fluids
TLDR
This paper studies a phase field model for the mixture of two immiscible and incompressible fluids. Expand
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Local and parallel finite element algorithms for the stokes problem
TLDR
We propose and analyze local and parallel finite element algorithms for the Stokes problem, based on our understanding of the local and global properties of a finite element solution. Expand
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Convergence of three iterative methods based on the finite element discretization for the stationary Navier–Stokes equations☆
Abstract This paper considers three iterative methods for solving the stationary Navier–Stokes equations. Iterative method I consists in solving the stationary Stokes equations, iterative method IIExpand
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Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
Three finite element iterative methods are designed and analyzed for solving 2D/3D stationary incompressible magnetohydrodynamics (MHD). By a new technique, strong uniqueness conditions for bothExpand
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Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations
  • Y. He, Weiwei Sun
  • Mathematics, Computer Science
  • SIAM J. Numer. Anal.
  • 1 February 2007
TLDR
In this paper, we study the stability and convergence of the Crank-Nicolson/Adams-Bashforth scheme for the two-dimensional nonstationary Navier-Stokes equations. Expand
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The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data
  • Y. He
  • Computer Science, Mathematics
  • Math. Comput.
  • 8 May 2008
TLDR
This paper considers the stability and convergence results for the Euler implicit/explicit scheme applied to the spatially discretized two-dimensional (2D) time-dependent Navier-Stokes equations. Expand
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A stabilized finite element method based on local polynomial pressure projection for the stationary Navier--Stokes equations
This article considers a stabilized finite element approximation for the branch of nonsingular solutions of the stationary Navier-Stokes equations based on local polynomial pressure projection byExpand
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Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional Schrödinger equation
In this paper we present and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for solving the time-fractional Schrodinger equation, where the fractionalExpand
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