The analysis of a finite element method for the Navier-Stokes equations with compressibility

Authors
Kellogg, B Liu, BY
Citation
B. Kellogg et By. Liu, The analysis of a finite element method for the Navier-Stokes equations with compressibility, NUMER MATH, 87(1), 2000, pp. 153-170
Citations number
16
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
87
Issue
1
Year of publication
2000
Pages
153 - 170
Database
ISI
SICI code
0029-599X(200011)87:1<153:TAOAFE>2.0.ZU;2-L
Abstract
A finite element formulation is developed for the two dimensional nonlinear time dependent compressible Navier-Stokes equations on a bounded domain. T he existence and uniqueness of the solution to the numerical formulation is proved. An error estimate for the numerical solution is obtained. Mathemat ics Subject Classification (1991): 65M60, 65M15, 76N10, 76M10.