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一种快速有限单元法及其在三维磁场计算中的应用
引用本文:张雄,汤勇明,屠彦,尹涵春,童林夙.一种快速有限单元法及其在三维磁场计算中的应用[J].真空科学与技术学报,2001,21(1):17-20.
作者姓名:张雄  汤勇明  屠彦  尹涵春  童林夙
作者单位:东南大学电子工程系
摘    要:针对大容量三维磁场的计算机模拟提出了一种快速有限单元法,通过用索引的方式进行刚度矩阵的计算与存储,大大节省了计算所需内存,采用超松驰迭代法进行求解,在大容量方程组的求解上大大快于上下三角(LU)分解法,提高了计算容量和计算速度,并成功地应用于三维偏转磁场的模拟计算。

关 键 词:有限单元法  计算机辅助设计  电磁场
文章编号:0253-9748(2001)01-0017-04
修稿时间:2000年3月16日

Fast Finite Elements Method and Its Applications in 3D Magnetic Field Simulation
Zhang Xiong,Tang Yongming,Tu Yan,Yin Hanchun,Tong Linsu.Fast Finite Elements Method and Its Applications in 3D Magnetic Field Simulation[J].JOurnal of Vacuum Science and Technology,2001,21(1):17-20.
Authors:Zhang Xiong  Tang Yongming  Tu Yan  Yin Hanchun  Tong Linsu
Abstract:A fast finite elements method(FEM)was developed to simulate complicated,large volume,3D magnetic field which usually involves extremely large number of elements.The strengths of the new simulation technique include:(1) K ] matrix can be calculated and saved by properly indexing all elements so that considerable computer memory can be saved;(2) when it comes to large number of equations,the over access iteration employed in this technique can solve equations much faster than LU method but with much less computation capacity.The new FEM has been successfully used to simulate the complicated,large area 3D electromagnetic field distribution in the deflection unit of the CRT.
Keywords:FEM method  CAD  Electromagnetic field  
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