| 高阶曲线矢量有限元方法实现及关键问题 |
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| 引用本文： | 尹文禄,杨虎,肖科,柴舜连,毛钧杰.高阶曲线矢量有限元方法实现及关键问题[J].电波科学学报,2011(4):722-730. |
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| 作者姓名： | 尹文禄 杨虎 肖科 柴舜连 毛钧杰 |
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| 作者单位： | 西南电子电信技术研究所;国防科技大学电子科学与工程学院; |
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| 摘 要： | 针对传统的直线型高阶矢量基函数对曲边界模拟不好的缺点,研究了基于四面体叠层矢量元的高阶曲线建模技术。系统而显式地分析了三维高阶曲线矢量元的实现过程,探讨了实现过程中的一些关键问题。通过分析一个球形谐振腔,系统比较了各种直线或曲线形式的高、低阶矢量元的性能(如计算精度、条件数等),并将其用于分析不均匀腔体的谐振问题。计算结果表明:采用曲线元对曲线模型进行建模,在不影响计算效率的情况下,可极大地提高计算精度。
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| 关 键 词： | 有限元方法 高阶 四面体矢量元 曲线单元 数值实现 |
Implementation for higher order curvilinear vector FEM |
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| YIN Wen-lu, YANG Hu XIAO Ke CHAI Shun-lian MAO Jun-jie.Implementation for higher order curvilinear vector FEM[J].Chinese Journal of Radio Science,2011(4):722-730. |
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| Authors: | YIN Wen-lu YANG Hu XIAO Ke CHAI Shun-lian MAO Jun-jie |
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| Affiliation: | YIN Wen-lu1,2 YANG Hu2 XIAO Ke2 CHAI Shun-lian2 MAO Jun-jie2(1.Southwest Electronics and Telecommunication Technology Research Institute,Chengdu Sichuan 610041,China,2.College of Electronic Science and Engineering,National University of Defense Technology,Changsha Hunan 410073,China) |
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| Abstract: | To overcome the shortcoming of typical rectilinear higher order vector elements which cannot exactly model curved boundaries,an efficient higher order geometrical mapping technology based on tetrahedral hierarchical vector elements is studied.The implementation process for 3D higher order curvilinear vector elements is researched,and some key issues are discussed.The results of a numerical experiment that investigates the resonant problem of a spherical cavity,compare the performance of different rectilinea... |
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| Keywords: | finite element method higher order tetrahedral vector elements curvilinear elements numerical implementation |
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