Darcy-Stokes方程的稳定化有限元方法  

A stabilized finite element method for Darcy-Stokes program

作　　者：梁涛[1] 李芹[2] 袁梅[3] 

机构地区：[1]西南交通大学数学学院,成都610031 [2]四川教育学院数学系,成都610041 [3]乐山职业技术学院数学系,四川乐山614000

出　　处：《四川大学学报（自然科学版）》2012年第1期65-68,共4页Journal of Sichuan University(Natural Science Edition)

基　　金：四川省科技攻关课题资助(05GG006-006-2)

摘　　要：在流体力学中,Darcy-Stokes模型是针对自由流动和渗注共存的流动系统建立的,需要研究既适用于Darcy问题又适用于Stokes问题的有限元方法.近来,Masud和Hughes对Darcy问题提出了一种新的混合有限元格式.本文作者通过引进新的变量,对一类Darcy与Stoke问题提出了一种统一适用的稳定化有限元方法.该方法可看成Hughes的稳定化有限元格式的推广和应用,并证明了该格式的存在性和唯一性,给出了相应的误差估计.In fluid mechanics, Darcy-Stokes model for free flow and seepage flow injection system has been built coexistence,need to study both the Darcy problem and the Stokes problem for the finite element method. With the introduction of new variables, Recently Masud and Hughes proposed a stabilized mixed finite element formulation for Darcy flow. In this paper, the authors present a uniform application of the stability of the Finite Element Method for the Darcy and Stokes equations. This method can be seen as promotion and application of Hughes＇s stabilized finite element method. The resulting finite-element formulation is consistent and stable. And an error estimate is obtained.

关 键 词：Darcy—Stokes方程 稳定化 统一 

分 类 号：O241.82[理学—计算数学]