解磁场问题的高阶有限元  

High Order Finite Element For Solving Magnetic Field Problems

作　　者：梁艳萍[1] 吴海容[1] 

机构地区：[1]哈尔滨电工学院

出　　处：《哈尔滨电工学院学报》1993年第3期193-200,共8页

基　　金：国家自然科学基金

摘　　要：本文对于磁场计算中高阶有限元的精度及使用等问题,进行了较详细的讨论.〈i〉给出了应用二、三阶Lagrange元于混合边值问题时,一般离散格式和单元顶点处的场量计算公式;〈ii〉通过具有解析解的磁场计算实例,此较了一、二、三阶元的计算精度、内存及CPU时间;〈iii〉开发了对任一前处理过程有共同接口的一、二、三阶元的计算软件.本文除了对高阶元提供一个较全面具体的认识外,还为工程应用带来方便.In this paper, some questions, such as the accuracy, application and so on, of high order finite element in magnetic field calculation are discussed. First, using second and third order Lagrange traingular element for mixed kinds boundary value problems, both the general discretization formule and the calculating formulation of magnetic field induction in three main nodes are given; Second, by the example with analysis solution, the accuracy, computer storage and CPU time of first, second and third order element are compared. Third, a program, which has common input terminal as first order element, is introduced. In a word, this paper is corventlent for the uses of engineering except for showing more comprehensive and specific viewpoint about high order element.

关 键 词：磁场 高阶有限元 计算 

分 类 号：TM153[电气工程—电工理论与新技术]