Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1148-1161.

• Articles • Previous Articles     Next Articles

The Economical Difference-Streamline Diffusion Nonconforming Finite Method for a Class of Sobolev Equations with Convection-dominated Term

 SHI Dong-Yang1, WANG Hai-Hong2   

  1. 1.Department of Mathematics, Zhengzhou University, Zhengzhou 450052;
    2.Department of Mathematical and Information Scientific, Henan University of Economics and Low, Zhengzhou |450002
  • Received:2012-06-15 Revised:2013-05-09 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(10971203, 11271340, 61143002, 61203050)资助

Abstract:

The economical difference-streamline diffusion nonconforming finite element method for a class of Sobolev equations with convection-dominated term is studied. The optimal error estimates of Euler-EFDSD scheme and Crank-Nicolson-EFDSD scheme are presented, respectively, which will expand and improve  the results in the previous literature.

Key words: Convection-dominated term, Nonlinear Sobolev equations, Economical difference-streamline diffusion nonconforming finite element method

CLC Number: 

  • 65N15
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