대한수학회지 (Journal of the Korean Mathematical Society)

  • 제36권1호
  • /
  • Pages.159-171
  • /
  • 1999
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A STABILITY RESULT FOR THE COMPRESSIBLE STOKES EQUATIONS USING DISCONTINUOUS PRESSURE

  • Kweon, Jae-Ryong (Department of Mathematics College of Natural Science Silla University)
  • 발행 : 1999.01.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We formulate and study a finite element method for a linearized steady state, compressible, viscous Navier-Stokes equations in 2D, based on the discontinuous Galerkin method. Dislike the standard discontinuous galerkin method, we do not assume that the triangle sides be bounded away from the characteristic direction. the unique stability follows from the inf-sup condition established on the finite dimensional spaces for the (incompressible) Stokes problem. An error analysis having a jump discontinuity for pressure is shown.

키워드

참고문헌

  1. Sobolev Spaces R. A. Adams
  2. Numerical solution of partial differential equations by the finite element method C. Johnson
  3. SIAM. J. Numer. Anal. v.33 A finite element method for the compressible Stokes equations R. B. Kellogg;B. Liu
  4. SIAM J. Math. Anal. v.28 Compressible Navier-Stokes Equations in a bounded domain with Inflow Boundary Condition J. R. Kweon;R. B. Kellogg
  5. Bull. Austral. Math. Soc. v.56 Finite Element methods for Compressible Stokes Equations with Inflow Boundary Condition J. R. Kweon
  6. Numerische Mathematik An optimal order convergence for a weak formulation of the compressible Stokes system with inflow boundary condition J. R. Kweon
  7. Springer Series in Computational Mathematics v.5 Finite Elemet Methods for Navier-Stokes Equations: Theory and Algorithms V. Girault;P.-A. Raviart
  8. The Finite Element Method for Elliptic Problems P. G. Ciarlet
  9. Calcolo v.21 A stable finite element for the Stokes equations D. N. Arnold;F. Brezzi;M. Fortin
  10. Houston J. of Math. v.13 Stationary motions and the incompressible limit for compressible viscous fluids H. Beirao Da Veiga
  11. Analyse non lineaire v.4 On the exsitence of stationary solutions to compressible Navier-Stokes equations A. Valli