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A Note on Symplectic, Multisymplectic Scheme in Finite Element Method

Han-Ying Guo·Xiao-mei Ji·Yu-Qi Li·Ke Wu
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Abstract

We find that with uniform mesh, the numerical schemes derived from finite element method can keep a preserved symplectic structure in one-dimensional case and a preserved multisymplectic structure in two-dimentional case in certain discrete version respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element algorithms are accurate in practice.

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Han-Ying Guo, Xiao-mei Ji, Yu-Qi Li, Ke Wu. 2001-04-06. A Note on Symplectic, Multisymplectic Scheme in Finite Element Method. https://doi.org/10.1088/0253-6102%2F36%2F3%2F259

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