TY - JOUR
T1 - Galerkin finite element methods for the generalized Klein–Gordon–Zakharov equations
AU - Gao, Yali
AU - Mei, Liquan
AU - Li, Rui
N1 - Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/11/15
Y1 - 2017/11/15
N2 - In this paper, we propose Galerkin finite element methods to investigate the evolution of the generalized Klein–Gordon–Zakharov equations. The spatial discretization is based on Galerkin finite element method. The combination of time-splitting method and finite difference method is used for temporal discretization. The accuracy and efficiency of our numerical schemes are verified by the error norms, conservation laws and the application in nonrelativistic limit regime and in three spatial dimension of different numerical experiments.
AB - In this paper, we propose Galerkin finite element methods to investigate the evolution of the generalized Klein–Gordon–Zakharov equations. The spatial discretization is based on Galerkin finite element method. The combination of time-splitting method and finite difference method is used for temporal discretization. The accuracy and efficiency of our numerical schemes are verified by the error norms, conservation laws and the application in nonrelativistic limit regime and in three spatial dimension of different numerical experiments.
KW - Finite difference method
KW - Galerkin finite element method
KW - Klein–Gordon–Zakharov equations
KW - Time-splitting method
UR - https://www.scopus.com/pages/publications/85026802724
U2 - 10.1016/j.camwa.2017.07.028
DO - 10.1016/j.camwa.2017.07.028
M3 - 文章
AN - SCOPUS:85026802724
SN - 0898-1221
VL - 74
SP - 2466
EP - 2484
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 10
ER -