| 引用本文: | 吴霞,周乐柱.二次B-Spline时域基函数的TDFEM的应用[J].哈尔滨工业大学学报,2010,42(5):836.DOI:10.11918/j.issn.0367-6234.2010.05.037 |
| WU Xia,ZHOU Le-zhu.Application of quadratic B-spline temporal basis function in time-domain finite element method[J].Journal of Harbin Institute of Technology,2010,42(5):836.DOI:10.11918/j.issn.0367-6234.2010.05.037 |
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| 摘要: |
| 提出了时域有限元法(TDFEM)的一种新的基函数—二次B-spline时域基函数.首先简述了时域有限元法的原理和基本公式;然后提出了新型的基于B-spline函数的条件稳定和无条件稳定的时域有限元法方案,并应用于三维电磁辐射问题.通过典型的算例对这两种方案的精度、运算时间进行了比较,证实了基于二次B-spline函数的时域有限元法的有效性.通过稳定性理论分析得出该算法的精确稳定性,并且通过数值计算的结果得到验证. |
| 关键词: 时域有限元法 二次B-spline时域基函数 电磁辐射 无条件稳定 超宽带 |
| DOI：10.11918/j.issn.0367-6234.2010.05.037 |
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| Application of quadratic B-spline temporal basis function in time-domain finite element method |
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WU Xia1,2, ZHOU Le-zhu1
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1.School of Electronic Engineering & Computer Science,Peking University,Beijing 100871,China;2.School of Information Science and Engineering,Fudan University,Shanghai 200433,China)
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| Abstract: |
| In order to be applied to electromagnetic(EM) radiation problems,a novel time-domain finite element method(TDFEM) on the basis of quadratic B-spline temporal basis functions is proposed.The formulation time-domain finite element methods is reviewed first.Then two TDFEM schemes based on quadratic B spine temporal basis functions are presented:conditional stability and unconditional stability.They are validated via canonical cases.The efficiencies of the two schemes in precision level and run time are compared.The stability analysis of the proposed formulations is summarized and then verified through numerical results. |
| Key words: time-domain finite element method quadratic B-spline temporal basis functions electromagnetic radiation problems unconditional stable Ultra-wideband |
