Numerical solution of the stationary navier-stokes equations using a multilevel finite element method

SIAM Journal on Scientific Computing

Volumn 20, Issue 1, 1998, Pages 1-12

  Layton, W ^a   Lee, H K ^b   Peterson, J ^c  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c IOWA STATE UNIVERSITY   (United States)

Author keywords

Finite elements; Multilevel; Navier Stokes equation

Indexed keywords

MULTILEVEL FINITE ELEMENT METHOD; STEADY-STATE NAVIER-STOKES EQUATIONS;

APPROXIMATION THEORY; FINITE ELEMENT METHOD; PROBLEM SOLVING;

NAVIER STOKES EQUATIONS;

EID: 0032131176     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827596306045     Document Type: Article

References (10)

1. R. A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
2. U. GHIA, N. GHIA, AND C. T. SHIN, High-resolutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys., 48 (1984), pp. 387-411.
3. V. GIRAULT AND P.-A. RAVIART, Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, Berlin, 1986.
4. M. GUNZBURGER AND J. PETERSON, On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations, Numer. Math., 42 (1983), pp. 173-194.
5. M. GUNZBURGER, Finite Element Methods for Viscous Incompressible Flows, Academic Press, New York, 1989.
6. W. LAYTON, A two-level discretization method for the Navier-Stokes equations, Comput. Math., 26 (1993), pp. 33-38.
7. W. LAYTON AND H. W. J. LEFERINK, A multilevel mesh independence principle for the Navier-Stokes equations, SIAM J. Numer. Anal., 33 (1996), pp. 17-30.
8. R. TEMAM, Navier-Stokes Equations, North-Holland, Amsterdam, 1979.
9. F. THOMASSET, Implementation of Finite Element Methods for Navier-Stokes Equations, Springer-Verlag, New York, 1981.
10. J. XU, Two-grid finite element discretizations for nonlinear PDEs, SIAM J. Numer. Anal., 33 (1996), pp. 1759-1777.