Article citationsMore>>

Chen, Z. (2005) Finite Element Methods and Their Applications (Scientific Computation). Springer, Berlin.

has been cited by the following article:

• TITLE: A Characteristics-Mix Stabilized Finite Element Method for Variable Density Incompressible Navier-Stokes Equations

  AUTHORS: Fei Xiong, Liquan Mei, Ying Li, Wu Zhang

  KEYWORDS: Characteristic Finite Element, Variable Density Flows, Naiver-Stokes Equations, Stabilized Method

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.5, April 13, 2015

  ABSTRACT: This paper describes a characteristics-mix finite element method for the computation of incompressible Navi-er-Stokes equations with variable density. We have introduced a mixed scheme which combines a characteristics finite element scheme for treating the mass conservation equation and a finite element method to deal with the momentum equation and the divergence free constraint. The proposed method has a lot of attractive computational properties: parameter-free, very flexible, and averting the difficulties caused by the original equations. The stability of the method is proved. Finally, several numerical experiments are given to show that this method is efficient for variable density incompressible flows problem.