Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations

  • Yinnian He
  • Published 2013 in Numerische Mathematik

Abstract

In this paper, a new uniqueness assumption (A2) of the solution for the stationary Navier–Stokes equations is presented. Under assumption (A2), the exponential stability of the solution (ū, p̄) for the stationary Navier–Stokes equations is proven.Moreover, the Euler implicit/explicit scheme based on themixed finite element is applied to solve the stationaryNavier–Stokes equations. Finally, the almost unconditionally stability is proven and the optimal error estimates uniform in time are provided for the scheme. Mathematics Subject Classification 35L70 · 65N30 · 76D06

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