| 电磁共振腔的节点有限元法 |
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| 引用本文： | 孙雁,钟万勰. 电磁共振腔的节点有限元法[J]. 动力学与控制学报, 2011, 9(1): 1-6 |
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| 作者姓名： | 孙雁 钟万勰 |
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| 作者单位： | 上海交通大学船舶海洋与建筑工程学院工程力学系, 上海 200240;上海交通大学船舶海洋与建筑工程学院工程力学系, 上海 200240;大连理工大学工程力学系,大连 116023 |
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| 基金项目： | 国家自然科学基金重点项目(10632030)；973基础研究项目(2009CB918501) |
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| 摘 要： | 电磁场节点有限元法因未强加电场散度为零的条件而一直受到伪解出现的困扰.本文针对电磁共振腔问题,给出在频域的Maxwell方程表达式.通过引入Lorentz条件,推导出电磁共振腔二类变量和三类变量的变分原理,由此提出了新的电磁共振腔节点有限元法,避免了伪解的出现.最后用子空间叠代法求解了共振腔的本征值问题.数值算例表明本文方法是有效可行的.
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| 关 键 词： | 电磁波 有限元 共振腔 本征值 子空间叠代法 |
| 收稿时间： | 2010-08-09 |
| 修稿时间： | 2010-09-05 |
Node finite element method for electro magnetic resonant cavity |
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| Sun Yan and Zhong Wanxie. Node finite element method for electro magnetic resonant cavity[J]. Journal of Dynamics and Control, 2011, 9(1): 1-6 |
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| Authors: | Sun Yan and Zhong Wanxie |
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| Affiliation: | Sun Yan1 Zhong Wanxie1,2 (1.Department of Engineering Mechanics,School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China) (2.Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,China) |
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| Abstract: | The finite element method in electromagnetics has been puzzled by spurious solutions because electric field divergence is not imposed zero condition. In the paper Maxwell equations are given in frequency domain for the electromagnetic resonant cavity. By further introducing Lorentz condition, The 2 types variational principles with 2 kinds and 3 kinds of variables are conducted respectively. Based on that, a new method of node finite element for electromagnetic resonant cavity is proposed for avoiding spurious solutions, and the cavity eigenvalues are got with subspace iteration method. Numerical results illustrate the feasibility and effectiveness of this method in the paper. |
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| Keywords: | electro-magnetic wave finite element resonant cavity eigenvalue subspace iteration method |
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