대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제14권4호
  • /
  • Pages.833-842
  • /
  • 1999
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

AN EXISTENCE OF THE FULLY DISCRETE SOLUTION FOR THE NAVIER STOKES EQUATION

  • 발행 : 1999.10.01
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초록

In this paper, we construct a fully discrete solution of the incompressible Navier Stokes equations using implicit Runge kutta method. We prove the existence of the fully discrete solution.

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참고문헌

  1. unpublished manuscript Galerkin approximations for the Navier Stokes equations G. Baker
  2. Math. of Comp. v.39 no.160 OIn a higher order accurate fully discrete Galerkin approximation to the Mavier-Stokes equations G. Baker;V. Dougalis;O. Karakashin
  3. SIAM J. Numer. Ana. v.27 no.6 Piecewise Solenoidal vector fields and the Stokes problem G. Baker;W. Jureidini;O. Karakashin
  4. Ph. D. Thesis Sur i'approximation des equations differentielles operation nelles lineaires par des methods de Runge-Kutta M. Croezeix
  5. RAIRO R-3 Conforming and nonconforming finite element methods for solving the stationary Stokes equations M. Crouzis;P. Raviart
  6. Math. of Comp. v.51 no.183 Incompressible finite elements for Navier-Stokes equations with nonstadard boundary conditions in $R^3$ V. Girault
  7. SIAM J. Numer. Ana. v.19 no.5 On a Galerkin-Lagrange multiplier method for the stationary Navier-Stokes equtions O. Karakashian
  8. Navier Stokes equations R. Temam