›› 2012, Vol. 25 ›› Issue (2): 16-.

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The Application of Higher-Order Hierarchical Basis Functions to Solve the Eigenvalue Problems of Resonant Cavities

 SUN Jia-Jia, WU Gang   

  1. (School of Electronic Engineering,Xidian University,Xi'an 710071,China)
  • Online:2012-02-15 Published:2012-02-29

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Abstract:

In this paper we analyze the eigenvalue problems of resonant cavities using higher-order hierarchical vector basis functions based on tetrahedral finite elements.The numerical results of several examples show that using the higher-order basis functions can reduce unknowns by larger discretization size to obtain the same accuracy with the lower-order basis functions,and the numerical solution can approach the analytical solution more quickly with mesh refinement.

Key words: finite elements;higher-order basis functions;cavities;eigenvalue

CLC Number: 

  • TM15

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