摘要
针对于大尺寸电磁辐射问题,将撕裂互连法应用于三维电大尺寸辐射问题的计算仿真。该算法是区域分解方法中的一种,求解区域划分成互不重叠的子区域,各子区域之间通过拉格朗日乘子将交界面的连续边界条件或者传输条件耦合。鉴于原来的传输条件存在不收敛或者收敛较慢情况,提出同时能在TE/TM凋落模式快速收敛的二阶传输边界条件作为子区域之间交界面的边界条件,并且引入虚拟激励流为交换信息。数值结果表明,该改进算法有效地提高了撕裂互连法在迭代求解中的收敛性。在求解三维电大辐射问题时,该算法仿真结果与有限元算法结果一致,表明撕裂互连算法是计算大尺寸电磁辐射问题的一种有效方法。
The tearing and interconnecting method is applied to the simulation of three-dimensional （3-D） large-scale electromagnetic radiation to solve the problems of large-scale electromagnetic radiation. As one of the domain decomposition meth- ods, this method reduces the computational complexity by dividing the domain under solution into several non-overlapping subdo- mains. The continuous boundary conditions or transmission conditions of the sub-domain interfaces are coupled by using the Lagrange multipliers and an iterative process is used to realize the solution of the original global problem. For further increasing the convergence of this method, a second-order transmission condition that can transmit both TE and TM evanescent modes is developed A virtual excitation source is introduced as the exchange information. Numerical simulation results reveal that the modification has improved effectively convergence performance in the iteration solution of the tearing and interconnecting method. Re- garding to the electromagnetic radiation problems, the results are well matched with those obtained by finite element method.
出处
《现代电子技术》
北大核心
2015年第16期4-8,共5页
Modern Electronics Technique
关键词
撕裂互连法
有限元法
二阶传输边界条件
电磁辐射
tearing and interconnecting method
finite element method
second-order transmission condition
electromagnetic radiation
