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ON THE hp FINITE ELEMENT METHOD FOR THE ONE DIMENSIONAL SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS 被引量:3

ON THE hp FINITE ELEMENT METHOD FOR THE ONE DIMENSIONAL SINGULARLY PERTURBED CONVECTION-DIFFUSION PROBLEMS
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摘要 Presents information on singularly peturbed two-point boundary value problem of convection-diffusion type. Analysis of the problem; Details of an hp version finite element method on a strongly graded piecewise uniform mesh of Shiskin type; Convergence of the method with respect to the singular perturbation parameter. Presents information on singularly peturbed two-point boundary value problem of convection-diffusion type. Analysis of the problem; Details of an hp version finite element method on a strongly graded piecewise uniform mesh of Shiskin type; Convergence of the method with respect to the singular perturbation parameter.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2002年第6期599-610,共12页 计算数学(英文)
基金 the U.S. National Science Foundation through grants DMS-9626193, DMS-0074301, and INT-9605050.
关键词 hp-version finite element methods CONVECTION-DIFFUSION singularly perturbed exponential rate of convergence. hp-version finite element methods, convection-diffusion, singularly perturbed, exponential rate of convergence.
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参考文献2

  • 1Ben Qi Guo.Theh?p version of the finite element method for elliptic equations of order2m[J].Numerische Mathematik (-).1988(1-2)
  • 2B. Szabo and I. Babuska,Finite Element Analysis,John Wiley & Sons,Inc. New York . 1991

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