Error Estimates for Triangular and Tetrahedral Finite Elements in Combination with a Trajectory Approximation of the First Derivatives for Advection-Diffusion Equations

被引：14
作者：
Chen, H. [1 ]
Lin, Q. [2 ]
Shaidurov, V. V. [3 ,4 ]
Zhou, J. [5 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
[3] Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia
[4] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[5] Hebei Univ Technol, Sch Sci, Tianjin 300160, Peoples R China
来源：
NUMERICAL ANALYSIS AND APPLICATIONS | 2011年 / 4卷 / 04期
关键词：
modified method of characteristics; triangular linear element; tetrahedral linear element; integral identities; uniform error estimate;
D O I：
10.1134/S1995423911040070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a modified method of characteristics in combination with integral identities of triangular and tetrahedral linear elements is used to prove a uniform optimal-order error estimate that depends only on the initial data and right-hand side, but not on a scaling parameter epsilon, for multidimensional time-dependent advection-diffusion equations.
引用
收藏
页码：345 / 362
页数：18
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