多媒质中低频电磁问题A-φ交替法的有限元误差估计  

FINITE ELEMENT ERROR ESTIMATES OF AN ALTERNATING A - φ SCHEME FOR THE LOW-FREQUENCY ELECTROMAGNETIC PROBLEMS IN MULTI-MEDIA

作　　者：马昌凤[1] 

机构地区：[1]桂林电子工业学院计算科学与数学系

出　　处：《高等学校计算数学学报》2005年第4期317-327,共11页Numerical Mathematics A Journal of Chinese Universities

基　　金：中国博士后科学基金项目(2004036133)广西区自然科学基金项目(0448075)浙江师范大学博士基金项目

摘　　要：1引言 低频电磁问题的数值分析在电工设备、电机分析等领域有着广泛的应用前景.本文考虑多媒质中低频电磁问题A-φ交替法的有限元逼近及其误差分析.The A-Φ method by means of finite element approximation has been applied in the low-frequency electromagnetic field computation far and wide in the last two decades. However, the literature on the error estimates of this method can not be found so far yet. This paper provides an convergence analysis of finite element method for the low-frequency electromagnetic problems in multi-media based on an alternating A-Φ scheme. Error estimates of the proposed scheme in finite time T are given under the appropriate regular conditions.

关 键 词：有限元逼近 电磁问题 交替法 误差估计 低频 媒质 电工设备 数值分析 误差分析 

分 类 号：O241.82[理学—计算数学] TM15[理学—数学]