Multisymplectic Geometry Method for Maxwell's Equations and Multisymplectic Scheme

Simple item page
dc.creatorSu, Hongling
dc.creatorQin, Mengzhao
dc.date2003-02-24
dc.date.accessioned2026-07-25T22:22:15Z
dc.descriptionIn this paper we discussed the self-adjointness of the Maxwell's equations with variable coefficients $ε$ and $μ$. Three different Lagrangian are attained. By the Legendre transformation, a multisymplectic Bridge's (Hamilton) form is obtained. Based on the multisymplectic structure, the multisymplectic conservation law of the system is derived and a nine-point Preissman multisymplectic scheme which preserve the multisymplectic conservation law is given for the Maxwell's equations in an inhomogeneous, isotropic and lossless medium. At last a numerical example is illustrated.
dc.description13 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0302058
dc.identifierhttp://arxiv.org/abs/math-ph/0302058
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/88387
dc.subjectMathematical Physics
dc.titleMultisymplectic Geometry Method for Maxwell's Equations and Multisymplectic Scheme
dc.typetext

Files

Collections

arXiv