A FINITE ELEMENT METHOD FOR THE COMPRESSIBLE STOKES EQUATIONS

摘要

A linearized steady-state, compressible, viscous Navier-Stokes system is considered. A finite element method is formulated. The unique solvability and stability of the finite element solution follow from a theorem for an abstract formulation. It is proved that when the subspaces for velocity and pressure satisfy the inf-sup condition associated with the (incompressible) Stokes system, the finite element method is uniquely solvable. An error estimate is obtained for the numerical approximation. [References: 13]