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一种基于快速数值技术的电磁场分析有限元算法
引用本文:赵阳,储家美. 一种基于快速数值技术的电磁场分析有限元算法[J]. 东南大学学报, 2006, 22(4): 470-474
作者姓名:赵阳  储家美
作者单位:南京师范大学电气与自动化学院 南京210042(赵阳),东南大学毫米波国家重点实验室 南京210096(储家美),美国密西根州立大学电气工程系 美国东兰辛MI48823(Satish Udpa)
基金项目:0pen Funds of State Key Laboratory of Millimeter Waves, China (No. K201N01 ), 0utstanding Teaching and Research Awards for Young Teachers of Nanjing Normal University (No. 1320BL51 ).
摘    要:提出了一种用于三维电磁场有限元分析的数值技术,即与波阵法配合使用的目标区域定位(TRL)算子.首先对波阵法进行了分析,然后对TRL算子原理进行了详细论述,并讨论了TRL算子在非线性场合应用的可行性,指出其仍能够适用并保持原来的高效率.还介绍了TRL算子在采用矢量磁位函数有限元公式中的实现.最后给出了一个三维静磁场建模的算例,分别采用TRL算子和有限元软件FEMLAB.结果表明:与FEMLAB相比,TRL算子可以节省可观的计算机资源.

关 键 词:有限元方法  电磁场计算  数值技术  快速算子
收稿时间:2006-04-12

Finite element solution based on fast numerical technique for large-scale electromagnetic computation
Satish Udpa,Zhao Yang,Chu Jiamei,Satish Udpa. Finite element solution based on fast numerical technique for large-scale electromagnetic computation[J]. Journal of Southeast University(English Edition), 2006, 22(4): 470-474
Authors:Satish Udpa  Zhao Yang  Chu Jiamei  Satish Udpa
Affiliation:1 College of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China;2 State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China; Department of Electrical Engineering, Michigan State University, East Lansing, MI 48823, USA
Abstract:A numerical technique of the target-region locating (TRL) solver in conjunction with the wave-front method is presented for the application of the finite element method (FEM) for 3-D electromagnetic computation.First,the principle of TRL technique is described.Then,the availability of TRL solver for non-linear application is particularly discussed demonstrating that this solver can be easily used while still remaining great efficiency.The implementation on how to apply this technique in FEM based on magnetic vector potential (MVP) is also introduced.Finally,a numerical example of 3-D magnetostatic modeling using the TRL solver and FEMLAB is given. It shows that a huge computer resource can be saved by employing the new solver.
Keywords:finite element method  electromagnetic computation  numerical technique  fast solver
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