A finite element method for the compressible Stokes equations
A finite element method for the compressible Stokes equations
复制标题
可压缩斯托克斯方程的有限元方法
DOI：
10.1137/0733039
复制
发表时间：
1996
影响因子：
2.9
通讯作者：
Biyue Liu
中科院分区：
文献类型：
--
作者：
R. Kellogg;Biyue Liu
考虑了一个线性化的稳态、可压缩、粘性的Navier-Stokes系统。提出了一种有限元方法。有限元解的唯一可解性和稳定性来源于一个抽象公式的定理。证明了（不可压缩）Stokes系统的速度子空间和压力子空间均满足下支撑条件时，有限元方法是唯一可解的。给出了数值近似的误差估计。
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.