Galerkin finite element methods for the generalized Klein–Gordon–Zakharov equations
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.
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.
Abstract
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.
Elsevier
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