期刊文献+

一类稳定混合型间断有限元方法在椭圆方程中的应用(英文)

A Stabilized Discontinuous Galerkin Method for Elliptic Problem
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摘要 主要考虑了经典椭圆方程的一个混合型间断Galerkin方法的离散格式.给出的稳定项是由单元上的残量决定.并讨论了格式的有界性、稳定性及相容性,给出了在所定义范数下的最优误差估计. In this paper a mixed discontinuous finite element discretization is considered for Passion equation with Dirichlet boundary condition. The boundedness,stability and consistency are presented. And the basic error estimate is obtained with respect to the defined norm.
出处 《河南科学》 2008年第11期1301-1305,共5页 Henan Science
基金 The National Science Foundation of China(10671184) The National Science Foundation of Henan(2008A110008) The Foundation and Front Engineering Research of Henan(072300410480)
关键词 间断有限元方法 稳定性 相容性 误差估计 discontinuous finite element method stabilization consistency error estimates
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参考文献7

  • 1Brenner S C, Scott L R. The mathematical theory of finite element methods[M]. New York: Springer-Verlag, 1994: 100-217.
  • 2Brezzi F J, Douglas J R, Marinin L D. Two families of mixed finite element for second order elliptic problem[J]. Numer Math, 1985,47: 217-235.
  • 3Brezzi F, Manzini G, Marinin D, et al. Discontinuous fininte elements for diffusion problems [C]//Atti Convegno in onore di F Brioschi (Milano 1997), Istituto Lombardo, Accademia di Scienze e Lettere, 1999: 197-217.
  • 4Cockburn B, Dawson C. Approximation of the velocity by coupling discontinuous Galerkin and mixed finite element method for flow problems[J]. Computational Geosciences, 2002, 6: 502-522.
  • 5Masud A, Hughes T J R. A stabilized mixed finite element method for Darey flow[J]. Comput Methods Appl Mech Engrg, 2002, 191: 4341-4370.
  • 6Brezzi F, Hughes T J R, Marini L D, et al. Mixed Discontinuous Galerkin methods for Darcy flow[J]. Journal of Scientific Computing, 2005,22:119-145.
  • 7Arnold D N, Bassi F, Cockbum B, et al. Unified analysis of Discontinuous Galerkin methods for Elliptic problems[J] . SIAM J Numer Anah 2002, 39: 1749-1779.

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