Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

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

  • Published : 1999.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

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.

Keywords

References

  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 unpublished manuscript Galerkin approximations for the Navier Stokes equations G. Baker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