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线性对流扩散问题的差分流线扩散法 被引量:8

FDSD Method for Linear Convection Diffusion Equation
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摘要 本文讨论发展型对流扩散方程的差分流线扩散(FDSD)格式,给出了该方法的稳定性和误差估计。 In this paper,a finite difference streamline diffusion scheme for time dependent linear convection dominated diffusion equation is defined,and quasi optimal convergence rates in L ∞(L 2) is derived.
作者 张强
出处 《应用数学》 CSCD 1999年第3期101-108,共8页 Mathematica Applicata
基金 国家自然科学基金
关键词 对流占优 有限元 对流扩散方程 差分流线扩散法 Streamline Diffusion Convection Dominated F.E.M.
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参考文献2

  • 1Zhang Qiang,Mathematica Numerics Sinica,1998年,20卷,2期,211页 被引量:1
  • 2Sun Che,Numer Math J Chin Univ,1998年,7卷,1期,72页 被引量:1

同被引文献24

  • 1Johnson C,Saranen J.Streamline diffusion method for the incompressible Euler and NavierStock equations[J].Math Comp,1986,47(175):1-18. 被引量:1
  • 2Hanbso P,Szepessy A.A velocity-pressure streamline diffusion F E M for the incompressible Navier-Stock equations[J].Comput Methods Appl Engrg,1990,32:175-192. 被引量:1
  • 3Douglas Jr J,Russell T F.Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures[J].SIAM J Numer Anal,1982,19:871-885. 被引量:1
  • 4Dawson C N,Martinez-Canales M L.A characteristic-Galerkin approximation to a system of shallow water equations[J].Numer Math,2000,86:239-256. 被引量:1
  • 5Hughes T J and Brooks A.A multidimensional upwind scheme with no crosswind diffusion.AMD Vol.34.F.E.M.for Convection Dominated Flows.ASME New York,1979. 被引量:1
  • 6Hughes T J and Brooks A.A theoretical framework for Petrov-galerkin methods with discontinuous weighting functions:Application to the streamline-upwind procedure,finite elements in fluids.Wiley,New York,1982. 被引量:1
  • 7Navert Johnson C U.An analysis of some finite element methods for advection-diffusion problems.Analytical and Numerical Pooroaches to Asymptotic Prlblems in Analysis(O.Axelsson et al.,eds.),North-Holland,Amsterdam,1981.MR 82e:65127. 被引量:1
  • 8Hughes T J, Brooks A. A Multidimensional Upwind Scheme with No Crosswind Diffusion[M]. AMD Vol. 34, F.E, M, for Convection Dominated Flows, ASME New York, 1979. 被引量:1
  • 9Hughes T J, Brooks A. A Theoretical Framework for Petrov-galerkin Methods with Discontinuous Weighting Functions: Application to the Streamline-upwind Procedure[M]. Finite Elements in Fluids. Wiley, New York,1982. 被引量:1
  • 10Johnson C, Navert U, An analysis of some finite elementmethods for advection-diffusion problems[J], in:Analytical and Numerical Pooroaches to Asymptotic Prlblems in Analysis (O, Axelsson et al, , eds. ), North-Holland. Amsterdam. 1981, MR 82e: 65127. 被引量:1

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