A Note on Symplectic, Multisymplectic Scheme in Finite Element Method

نویسندگان

  • Han-Ying GUO
  • Xiao-mei JI
  • Ke WU
چکیده

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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تاریخ انتشار 2001