| 高阶矢量基函数在腔体本征值问题中的应用 |
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| 引用本文： | 孙佳佳,吴刚.高阶矢量基函数在腔体本征值问题中的应用[J].电子科技,2012,25(2):16-18,22. |
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| 作者姓名： | 孙佳佳 吴刚 |
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| 作者单位： | (西安电子科技大学 电子工程学院,陕西 西安 710071) |
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| 摘 要： | 基于四面体有限单元,采用高阶叠层矢量基函数分析腔体本征值问题,通过若干数值算例验证了在相同计算精度指标下,采用高阶基可以使用尺寸更大的网格,降低未知量个数,提高计算效率;并且通过加密网格,高阶基能够更快地收敛到真解。
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| 关 键 词： | 有限元 高阶基 腔体 本征值 |
The Application of Higher-Order Hierarchical Basis Functions to Solve the Eigenvalue Problems of Resonant Cavities |
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| SUN Jiajia,WU Gang.The Application of Higher-Order Hierarchical Basis Functions to Solve the Eigenvalue Problems of Resonant Cavities[J].Electronic Science and Technology,2012,25(2):16-18,22. |
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| Authors: | SUN Jiajia WU Gang |
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| Affiliation: | (School of Electronic Engineering,Xidian University,Xi'an 710071,China) |
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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. |
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| Keywords: | finite elements higher-order basis functions cavities eigenvalue |
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