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

作　　者：Weiping Bu Xiangtao Liu Yifa Tang Jiye Yang 

机构地区：[1]LSEC,ICMSEC,Academy of Mathematics and Systems Science Chinese Academy of Sciences,Beijing 100190,P.R.China [2]Cipher Ground,675 Rt 1 South North Brunswick,NJ 08902,USA [3]School of Mathematics and Computer Ningxia University,Yinchuan 750021,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2015年第1期1-25,共25页建模、仿真和科学计算国际期刊（英文）

基　　金：This research is supported by the National Center for Mathematics and Interdisciplinary Sciences,CAS,and by the National Natural Science Foundation of China(Grant No.11371357).

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.

关 键 词：Multi-term time fractional advection diffusion equation finite element method stability CONVERGENCE V-cycle multigrid method 

分 类 号：O24[理学—计算数学]