| B样条有限元法解矩形域边值问题的高斯积分矩阵传递算法 |
| |
| 引用本文： | 姬五胜,李英,游彬,赵廷刚,李斌颖. B样条有限元法解矩形域边值问题的高斯积分矩阵传递算法[J]. 电子学报, 2003, 31(12): 1771-1775 |
| |
| 作者姓名： | 姬五胜 李英 游彬 赵廷刚 李斌颖 |
| |
| 作者单位： | 1. 上海大学通信工程系,上海 200072;2. 兰州师范高等专科学校数学系,甘肃兰州 730070;3. 兰州大学信息科学与工程学院,甘肃兰州,730000 |
| |
| 基金项目： | 上海市教育委员会重点学科基金 (No .2 0 0 0JSO7.7.1 .QT0 60 6) |
| |
| 摘 要： | B样条有限元法是解决二维矩形场域中电磁场问题的一种理想的数值计算方法.该方法计算精度高,并且能保证场量应有的连续性.本文构造了一种能快速实施B样条有限元方法的高斯积分矩阵传递算法(TGIMA).该算法通过矩阵形式积运算将每一个高斯积分点的B样条函数值传递到B样条有限元方程的总体系数矩阵中,避免了B样条子段函数互乘的积分运算,从而极大地降低了计算的复杂度.这种算法易于程序实现,有效地减少了计算量.
|
| 关 键 词： | 电磁场 边值问题 B样条 有限元 高斯积分矩阵传递算法 |
| 文章编号： | 0372-2112(2003)12-1771-05 |
| 收稿时间： | 2001-12-28 |
A New Algorithm of B-Spline FEM for Solving 2-D Electromagnetic Field Boundary Problem in Rectangular Regions─Transferable Gauss Integral Matrix Algorithm |
| |
| JI Wu sheng ,LI Ying ,YOU Bin ,ZHAO Ting gang ,LI Bin ying. A New Algorithm of B-Spline FEM for Solving 2-D Electromagnetic Field Boundary Problem in Rectangular Regions─Transferable Gauss Integral Matrix Algorithm[J]. Acta Electronica Sinica, 2003, 31(12): 1771-1775 |
| |
| Authors: | JI Wu sheng LI Ying YOU Bin ZHAO Ting gang LI Bin ying |
| |
| Affiliation: | 1. Shanghai University,Shanghai,200072,China;2. Lanzhou Teacher's College,Lanzhou,Gansu 730070,China;3. School of Information Science and Engineering,Lanzhou University,Lanzhou,Gansu 730000,China |
| |
| Abstract: | The B Spline FEM is an effective numerical computation method for solving 2 D electromagnetic field problem of rectangular regions.This method has high computational accuracy without destroying the continuity of adjacent field value.In this paper,a transferable Gauss integral matrix algorithm(TGIMA)which can perform fleetly the B spline FEM was proposed.By the algorithm,the B spline function value of every Gauss point was transferred to general coefficient matrix of B spline FEM equation without integral operations of product of B spline subinterval function.Consequently the computational complexity can be largely reduced.The algorithm can be programmed conveniently and make the computation easier. |
| |
| Keywords: | electromagnetic field boundary value problem B spline finite element transferable Gauss integral matrix algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《电子学报》浏览原始摘要信息 |
|
点击此处可从《电子学报》下载免费的PDF全文 |
