有限元方法的保结构算法
유한원방법적보결구산법
Structure preserving algorithm with the finite element method
  • 万方数据
    河南科学 하남과학
    HENAN SCIENCE
    2004年 5期 577-582 ,共6页

    刘震%李起升%白永强

    류진%리기승%백영강

    辛结构%多辛结构%有限元方法 辛結構%多辛結構%有限元方法
    신결구%다신결구%유한원방법
    symplectic structure%multisymplectic structure%finite element method
    在一般的空间离散下,通过考虑具体的椭圆方程的例子,我们发现有限元格式在一维情况下能保辛结构,在高维性况下能保多辛结构.
    재일반적공간리산하,통과고필구체적타원방정적례자,아문발현유한원격식재일유정황하능보신결구,재고유성황하능보다신결구.
    Through exploring certain concrete samples with the general spatial discretization, we find that the numerical scheme derived from finite element method can keep a preserved symplectic structure in one dimensional case and a preserved multisymplectic structure in two dimensional and three dimensional cases respectively.
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