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- Title
Low order nonconforming mixed finite element method for nonstationary incompressible Navier-Stokes equations.
- Authors
Xu, Chao; Shi, Dongyang; Liao, Xin
- Abstract
This paper studies a low order mixed finite element method (FEM) for nonstationary incompressible Navier-Stokes equations. The velocity and pressure are approximated by the nonconforming constrained Q element and the piecewise constant, respectively. The superconvergent error estimates of the velocity in the broken H-norm and the pressure in the L-norm are obtained respectively when the exact solutions are reasonably smooth. A numerical experiment is carried out to confirm the theoretical results.
- Subjects
NAVIER-Stokes equations; INCOMPRESSIBLE flow; FINITE element method; APPROXIMATION theory; SUPERCONVERGENT methods
- Publication
Applied Mathematics & Mechanics, 2016, Vol 37, Issue 8, p1095
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-016-2120-8