Multisymplectic Structure-Preserving in Simple Finite Element Method in High Dimensional Case |
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Authors: | BAI Yong-Qiang LIU Zhen PEI Ming ZHENG Zhu-jun |
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Affiliation: | Institute of Theoretical Physics, the Chinese Academy of Sciences, Beijing 100080, China;College of Mathematics and Information Science, Henan University, Kaifeng 475001, China Institute of Theoretical Physics, the Chinese Academy of Sciences, Beijing 100080, China;College of Mathematics and Information Science, Henan University, Kaifeng 475001, China College of Mathematics and Information Science, Henan University, Kaifeng 475001, China College of Mathematics and Information Science, Henan University, Kaifeng 475001, China |
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Abstract: | In this paper, we study a finite element scheme of some semi-linear elliptic boundary value problems inhigh-dimensional space. With uniform mesh, we find that, the numerical scheme derived from finite element method cankeep a preserved multisymplectic structure. |
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Keywords: | finite element method multisymplectic uniform mesh subdivision |
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