[1]张新红.求解对流占优方程的不完全插值有限元法[J].华侨大学学报(自然科学版),2002,23(3):322-326.[doi:10.3969/j.issn.1000-5013.2002.03.022]
　Zhang Xinhong.Incomplete Interpolation-Based Finite Element Method for Solving Convection-Dominated Equation[J].Journal of Huaqiao University(Natural Science),2002,23(3):322-326.[doi:10.3969/j.issn.1000-5013.2002.03.022]
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求解对流占优方程的不完全插值有限元法()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第23卷
期数:
2002年第3期
页码:
322-326
栏目:
出版日期:
2002-07-20

文章信息/Info

Title:
Incomplete Interpolation-Based Finite Element Method for Solving Convection-Dominated Equation
文章编号:
1000-5013(2002)03-0322-05
作者:
张新红
华侨大学经济管理学院 泉州362011
Author(s):
Zhang Xinhong
College of Econo. Manag., Huaqiao Univ., 362011, Quanzhou
关键词:
对流占优方程;  分层基;  有限元;  边界层
Keywords:
convection dominated equation;  hierarchical basis;  finite element;  boundary layer
分类号:
O241.82
DOI:
10.3969/j.issn.1000-5013.2002.03.022
文献标志码:
A
摘要:
针对具有边界层现象方程的特点,用一种不完全插值有限元方法,求解对流占优方程 .讨论刚度矩阵的特性和计算方法 .通过某一数值实验,说明不完全插值有限元方法的有效性
Abstract:
As a phenomenological equation with the characteristic boundary layer, the convection dominated equation is solved by Galerkin’s method, namely, the finite element method based on incomplete interpolation. The characteristics of stiffness and the method of its computation are discussed. The effectiveness of this method is numerically exemplified.

参考文献/References:

[1] 张新红. 一种求解对流占优方程的内插小波方法 [J]. 华侨大学学报(自然科学版), 1999(3):226-229.
[2] Zienciewics O C, Kelly D W, Gago J. Hierarchical finite element approapches, error estimates and adaptive refinement [A]. London:Academics Press, 1982.384-390.
[3] 徐长发. 实用偏微分方程数值解法 [M]. 武汉:华中理工大学出版社, 1989.146-159.

更新日期/Last Update: 2014-03-23