棱边有限元法及其在涡流计算中的应用  

The Edge Element and its Application in Eddy-Current Computation

作　　者：饶明忠[1] 谭邦定 黄建 

机构地区：[1]重庆大学

出　　处：《电工技术学报》1993年第2期8-11,共4页Transactions of China Electrotechnical Society

基　　金：高等学校博士点科学基金

摘　　要：本文就棱边有限元法的核心即矢量插值函数和自由度等问题进行了分析讨论,对用矢量插值函数近似表示出的场矢量满足切向连续给予了说明,得出了棱边有限元法特别适合求解散度为零、切向分量连续的矢量场的结论,并给出了一个具有解析解的二维涡流场边值问题的算例。In this peper, the vector-valued interpolants and degrees of freedom of edge-based vectorial finite elementS (edge elements) are deliberated. It is showed that the tangential port of vector fields approximated by linear combinations of vector-valued interpolants is continuous on edges of mesh. The conclusion is obtained that edge elements are fit for calculation of the vector fields with zero divergency and continuous tangential components. A two-dimensional eddy current problem with analytical solution is calculated by edge element.

关 键 词：有限元法 涡流 场 计算 

分 类 号：TM151[电气工程—电工理论与新技术]