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一阶非定常双曲问题的间断-差分流线扩散法及其误差估计

张阳   

  1. 南开大学数学科学学院 天津300071
  • 出版日期:2007-01-20 发布日期:2007-01-20

张阳. 一阶非定常双曲问题的间断-差分流线扩散法及其误差估计[J]. 数值计算与计算机应用, 2007, 28(1): 18-26.

THE DISCONTINUOUS FINITE DIFFERENCE STREAMLINE DIFFUSION METHOD FOR TIME DEPENDENT FIRST-ORDER HYPERBOLIC PROBLEM AND ITS ERRORESTIMATES

  1. Zhang Yang (School of Mathematics,Nankai University,Tianjin 300071,China)
  • Online:2007-01-20 Published:2007-01-20
本文提出了求解一阶非定常双曲问题的一种新型有限元方法.间断-差分流线扩散法(DFDSD方法),建立了Euler型DFDSD格式,并对格式解的稳定性和收敛性进行了理论分析,最后给出了数值算例说明算法的有效性.
In this paper,a new finite element method,discontinuous finite difference streamline diffusion method is studied for first-order linear hyperbolic problems.A discontinuity-type explicit finite element scheme with artificial diffusion parameter is constructed,the stability and convergence in proper norm are established for the considered scheme.Finally,a numerical example is provided to show the highly efficiency of the new scheme.
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[1]孙澈,汤怀民,吴克俭,一阶双曲问题的间断流线扩散法,计算数学,20:1(1998),35-44.
[2]孙澈,张阳,魏强,对流扩散问题的流线扩教有限元分析,计算数学,18:3(1996),253-260.
[3]Sun Che and Qin Shujie,The full discrete discontinuous finite element analysis for first-order linear hyperbolic equation,J.Comp.Math.,17:1(1999),97-112.
[4]C.Johnson and J.Pitkaranta,An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation,Math.of Comp.,46(1986),1-26.
[5]T.J.Huges,Streamline upwind formulation for advection-diffusion,Navier-Stokes and first-order hyperbolic equations,Forth Internat,Conf.on F.E.M.in fluids,Tokyo(1982).
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