A Note on Symplectic, Multisymplectic Scheme in Finite Element Method
高能物理 - 理论
2018-01-17 v1
摘要
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.
引用
@article{arxiv.hep-th/0104060,
title = {A Note on Symplectic, Multisymplectic Scheme in Finite Element Method},
author = {Han-Ying Guo and Xiao-mei Ji and Yu-Qi Li and Ke Wu},
journal= {arXiv preprint arXiv:hep-th/0104060},
year = {2018}
}
备注
7 pages, 3 figures