Finite element multigrid method for multi-term time fractional advection diffusion equations

被引：82
|
作者：
Bu, Weiping [1 ]
Liu, Xiangtao [2 ]
Tang, Yifa [1 ]
Yang, Jiye [3 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
[2] Cipher Ground, North Brunswick, NJ 08902 USA
[3] Ningxia Univ, Sch Math & Comp, Yinchuan 750021, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING | 2015年 / 6卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Multi-term time fractional advection diffusion equation; finite element method; stability; convergence; V-cycle multigrid method;
D O I：
10.1142/S1793962315400012
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, a class of multi-term time fractional advection diffusion equations (MTFADEs) is considered. By finite difference method in temporal direction and finite element method in spatial direction, two fully discrete schemes of MTFADEs with different definitions on multi-term time fractional derivative are obtained. The stability and convergence of these numerical schemes are discussed. Next, a V-cycle multigrid method is proposed to solve the resulting linear systems. The convergence of the multigrid method is investigated. Finally, some numerical examples are given for verification of our theoretical analysis.
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页数：25
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