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

页码：345 / 362

页数：18

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