The Analysis of a Finite Element Method with Streamline Diffusion for the Compressible Navier--Stokes Equations
作者： Biyue Liu
DOI: 10.1137/S0036142998336424
关键词: Weak solution 、 Finite element method 、 Compressible flow 、 Extended finite element method 、 Numerical analysis 、 Stokes flow 、 Mixed finite element method 、 Streamline diffusion 、 Mathematical analysis 、 Mathematics
摘要: This paper deals with the rigorous error analysis of finite element solutions two- and three-dimensional nonstationary compressible Navier--Stokes equations. The streamline diffusion technique is applied to continuity equation obtain a stabilized scheme. It proved that numerical formulation has unique solution convergent. An priori estimate uniform in time obtained.
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