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速度为双线性、压力为常数的矩形元的稳定度 被引量:2

ON THE STABILITY OP BILINEAR-CONSTANT VELOCITYPRESSURE FINITE ELEMENTS
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摘要 1 众所周知,用混合有限元方法求解Stokes问题时,许多常用的单元都不能满足经典LBB条件.[1]与[2]提出替换条件: This note shows that the inequality for the Babuska stability of bilinear-constantfinife element pairs sup υ∈V_h (q_h,divυ)/|υ|_1≥ Ch^(1/2)‖qh‖_h,?q_h∈Q_his note true.
机构地区 杭州大学
出处 《计算数学》 CSCD 北大核心 1989年第1期107-109,共3页 Mathematica Numerica Sinica
基金 中国科学院科学基金
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参考文献1

  • 1吴颂平,计算数学,1986年,8卷,4期,395页

同被引文献8

  • 1Kent A M,Tai X C,Ragnar W.A robust finite element method for Darcy-Stokes flow[J].SIAM J Numer Anal,2002,40:1605.
  • 2Droux J J,Hughes T J R.A boundary integral modification of the Galerkin least squares formulation for the Stokes problem[J].Comput Methods Appl Mech Eng,1994,113:173.
  • 3Burman E,Hansbo P.Stabilized crouzeix-raviart element for the Darcy-Stokea problem[J].Numerical Methods for Partial Differential Equations,2005,21 (5):986.
  • 4Burman E,Hansbo P.A unified stabilized method for Stokes' and Darcy's equations[J].J Comput Appl Math,2007,198(1):35.
  • 5Brezzi F,Fortin M.Mixed and hybrid finite element methods[M].Berlin/Heidelberg/NewYork:Springer,1991.
  • 6Becket R,Braack M.A finite element pressure gradient stabilization for the stokes equations based on local projections[J].Calcolo,2001(38):173.
  • 7Codina R,Blasco J.Analysis of a pressure-stabilized finite element approximation of the stationary NavierStokes equations[J].Numer Math,2000,87:59.
  • 8Brezzi F,Douglas J.Stabilized mixed methods for the stokes problem[J].Numer Math,1998 (53):225.

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