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对流扩散问题的特征配置法 被引量:1

CHARACTERISTICS-COLLOCATION METHOD FOR CONVECTION DIFFUSION PROBLEM
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摘要 给出了一种新的数值求解对流扩散方程方法——特征配置法。这种方法不但具有特征方法的优点,而且保留了配置法的优点。对本文的特征配置格式,给出了最优先验误差估计。 The characteristics-collocation method to one dimension convection diffusion equation is established and the existence and uniqueness of its solution are proved. Optimal order error estimate is derived.
作者 鲁统超
机构地区 山东大学数学系
出处 《山东大学学报(自然科学版)》 CSCD 1992年第1期35-44,共10页 Journal of Shandong University(Natural Science Edition)
基金 国家自然科学基金
关键词 对流扩散方程 特征线 配置法 cortvection diffusion equation characteristic line collocation method
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同被引文献8

  • 1孙家昶.样条函数与计算几何[M].北京:科学出版社,1982..
  • 2Dougals J, Dupont T. Lecture notes in math 385. Berlin: Springer-Verlag, 1974.
  • 3Ryan L. Fernandes, Graeme Falrweather. Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables. Numerical Methods for Partial Differential Equations, 1993, (9): 191-211.
  • 4Bernard Bialecki, Cai X C. H^1-norm error bounds for piecewise Hermite bicubic orthogohal space collocation schemes for elliptic boundary value problems. SIAM. J Numer.Anal,1994,31(4): 1128-1146.
  • 5Douglas J, Thomas F. Russell. Numerical methods for convection-dominated diffusion problems based on coming the method of characteristics with finite element or finite difference procedures.SIAM. J Numer. Anal.1982, 19(5): 871-885.
  • 6Thomas F. Russell. Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media. SIAM. J Numer. Anal., 1985,17(5):970-1013.
  • 7Ciarlet PG. The finite element method for elliptic problems. North-Holland, 1978.
  • 8鲁统超.二维热传导方程初边值问题的有限元配置法[J].山东大学学报(理学版),1994,34(3):266-272. 被引量:8

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