FEM,Variational principle and the generalization of symplectic mathematics
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    Abstract:

    The harmony finite element method for solving the evolution partial differential equation requires different dimension on spacetime domain, which does not satisfy the restrictions on the same dimension of symplectic matrix group. In this paper, according to variational principle and using the virtual work principle, a principle for dealing with the different dimension problem of symplectic transfer matrix was proposed. The numerical example shows that the proposed method is effective.

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History
  • Received:August 09,2010
  • Revised:September 05,2010
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