Back to Search
Start Over
MIXED FINITE ELEMENT METHODS FOR INCOMPRESSIBLE FLOW: STATIONARY NAVIER-STOKES EQUATIONS.
- Source :
-
SIAM Journal on Numerical Analysis . 2010, Vol. 48 Issue 1, p79-94. 16p. - Publication Year :
- 2010
-
Abstract
- In [Z. Cai, C. Tong, P. S. Vassilevski, and C. Wang, Numer. Methods Partial Differential Equations, to appear], the authors developed and analyzed a mixed finite element method for the stationary Stokes equations based on the pseudostress-velocity formulation. The pseudostress and the velocity are approximated by a stable pair of finite elements: Raviart-Thomas elements of index k ≥ 0 and discontinuous piecewise polynomials of degree k ≥ 0, respectively. This paper extends the method to the stationary, incompressible Navier-Stokes equations. Under appropriate assumptions, we show that the pseudostress-velocity formulation of the Navier-Stokes equation and its discrete counterpart have branches of nonsingular solutions, and error estimates of the mixed finite element approximations are established as well. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 48
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 52292188
- Full Text :
- https://doi.org/10.1137/080718413