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

查看全文 作　　者：Weiping [1]Bu;Xiangtao [2]Liu;Yifa [1]Tang;Jiye [3]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》索引2015年第6卷第1期,共25页

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

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

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