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| Symplectic finite element method for electromagnetic resonant cavity |
| Revised:November 17, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20042025 |
| KeyWord:electro-magnetic,finite element,duality system,resonance cavity,eigenvalue,W-W algorithm. |
| Zhong Wanxie~ |
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| Abstract: |
| In present paper, the fundamental equations of electromagnetic field are written in the form of duality system. The variational principle for dual variables is derived for electromagnetic finite element method. To maintain the symplectic conservation conditions of FEM formulation, the integrand is rewritten symmetrically for duality variables. The boundary integral terms of variational principle are cancelled mutually for the adjacent elements. The dual variable FEM formulation can avoid the difficulty of continuity condition. The FEM analysis for dual variables is applied to the solution of eigenproblems of resonant cavity and the generalized eigenvalues are solved numerically. Numerical examples demonstrate the effectiveness of the dual finite element method. |
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