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.
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.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2010年第5期836-840,共5页
Journal of Harbin Institute of Technology
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
time-domain finite element method
quadratic B-spline temporal basis functions
electromagnetic radiation problems
unconditional stable
Ultra-wideband
