A conservative Galerkin finite element method for the Klein- Gordon equation in high dimensions

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Volume 14, Issue 3

Huawei Zhao and Yue Cheng

J. Info. Comput. Sci. , 14 (2019), pp. 170-175.

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Abstract

School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, China (Received January 06 2019, accepted May 20 2019) In this article, we design and analyze a Galerkin finite element method (FEM) to solve the nonlinear Klein-Gordon equation in ?(? = 1,2,3) dimensions. The scheme is proved to preserve well the total energy in the discrete sense, which is consistent with the conservative property possessed by the original problem. Numerical results are reported to show the high accuracy of the numerical methods and confirm the energy conservation.

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@Article{JICS-14-170, author = {Huawei Zhao and Yue Cheng}, title = {A conservative Galerkin finite element method for the Klein- Gordon equation in high dimensions}, journal = {Journal of Information and Computing Science}, year = {2019}, volume = {14}, number = {3}, pages = {170--175}, abstract = {School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, China (Received January 06 2019, accepted May 20 2019) In this article, we design and analyze a Galerkin finite element method (FEM) to solve the nonlinear Klein-Gordon equation in ?(? = 1,2,3) dimensions. The scheme is proved to preserve well the total energy in the discrete sense, which is consistent with the conservative property possessed by the original problem. Numerical results are reported to show the high accuracy of the numerical methods and confirm the energy conservation. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22409.html} }

TY - JOUR T1 - A conservative Galerkin finite element method for the Klein- Gordon equation in high dimensions AU - Huawei Zhao and Yue Cheng JO - Journal of Information and Computing Science VL - 3 SP - 170 EP - 175 PY - 2019 DA - 2019/09 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22409.html KW - AB - School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing, 210044, China (Received January 06 2019, accepted May 20 2019) In this article, we design and analyze a Galerkin finite element method (FEM) to solve the nonlinear Klein-Gordon equation in ?(? = 1,2,3) dimensions. The scheme is proved to preserve well the total energy in the discrete sense, which is consistent with the conservative property possessed by the original problem. Numerical results are reported to show the high accuracy of the numerical methods and confirm the energy conservation.

Huawei Zhao and Yue Cheng. (2019). A conservative Galerkin finite element method for the Klein- Gordon equation in high dimensions. Journal of Information and Computing Science. 14 (3). 170-175. doi:

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