A Note on Symplectic, Multisymplectic Scheme in Finite Element Method

Physics – High Energy Physics – High Energy Physics - Theory

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7 pages, 3 figures

Scientific paper

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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