On Symplectic, Multisymplectic Structures-Preserving in Simple Finite Element Method

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dc.creatorGuo, Han-Ying
dc.creatorJi, Xiao-mei
dc.creatorLi, Yu-Qi
dc.creatorWu, Ke
dc.date2001-04-18
dc.date.accessioned2026-07-07T04:11:34Z
dc.date.available2026-07-07T04:11:34Z
dc.descriptionBy the simple finite element method, we study the symplectic, multisymplectic structures and relevant preserving properties in some semi-linear elliptic boundary value problem in one-dimensional and two-dimensional spaces respectively. 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 respectively. These results are in fact the intrinsic reason that the numerical experiments indicate that such finite element schemes are accurate in practice.
dc.description15 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0104151
dc.identifierhttp://arxiv.org/abs/hep-th/0104151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50641
dc.subjectHigh Energy Physics - Theory
dc.titleOn Symplectic, Multisymplectic Structures-Preserving in Simple Finite Element Method
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