数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 385-393.doi: 10.1016/S0252-9602(16)30007-8

• 论文 • 上一篇    下一篇

A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS

罗振东   

  1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • 收稿日期:2014-02-08 修回日期:2015-04-18 出版日期:2016-04-25 发布日期:2016-04-25
  • 作者简介:Zhendong LUO,E-mail:zhdluo@163.com,zhdluo@ncepu.edu.cn
  • 基金资助:

    Research of this work was mainly supported by the National Science Foundation of China (11271127) and Science Research Project of Guizhou Province Education Department (QJHKYZ[2013]207).

A STABILIZED MIXED FINITE ELEMENT FORMULATION FOR THE NON-STATIONARY INCOMPRESSIBLE BOUSSINESQ EQUATIONS

Zhendong LUO   

  1. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • Received:2014-02-08 Revised:2015-04-18 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Research of this work was mainly supported by the National Science Foundation of China (11271127) and Science Research Project of Guizhou Province Education Department (QJHKYZ[2013]207).

摘要:

In this study, we employ mixed finite element (MFE) method, two local Gauss integrals, and parameter-free to establish a stabilized MFE formulation for the non-stationary incompressible Boussinesq equations. We also provide the theoretical analysis of the existence, uniqueness, stability, and convergence of the stabilized MFE solutions for the stabilized MFE formulation.

关键词: Stabilized mixed finite element formulation, non-stationary incompressible Boussinesq equations, the existence, uniqueness, stability, and convergence

Abstract:

In this study, we employ mixed finite element (MFE) method, two local Gauss integrals, and parameter-free to establish a stabilized MFE formulation for the non-stationary incompressible Boussinesq equations. We also provide the theoretical analysis of the existence, uniqueness, stability, and convergence of the stabilized MFE solutions for the stabilized MFE formulation.

Key words: Stabilized mixed finite element formulation, non-stationary incompressible Boussinesq equations, the existence, uniqueness, stability, and convergence

中图分类号: 

  • 65N30