摘要
无单元法的突出特点是可以求解复杂边界条件的边值问题 ,它可以根据场函数的特性布置随机节点 ,只需节点信息 ,无需单元信息 ,解决了有限元方法中前处理困难的问题 ,它的理论基础是滑动最小二乘法。其基本思想是将计算场域离散成若干节点 ,由滑动最小二乘法来拟合场函数 ,从而摆脱了单元的限制 ,具有精度高、计算速度快的特点 。
A new computation method of electromagnetic field——element free method(EFM)is proposed EFM only needs the information of nodes Furthermore,the nodes can be distributed on needs The main advantage is that it can solve complicated problems with arbitrary shapes,which finite element method (FEM)can not solve effectively For example,when computing the electromagnetic force on the close state and studying the problems with odd shaped working gap,bigger errors occurs using FEM,but with EFM this problem can be avoided The theoretical foundation of EFM is moving least squares(MLS) Detailed research is conducted on some key problems,such as the selection of weight function,the selection of influence radii of nodes And according to the theory of minimum of energy,penalty function is introduced in order to give boundary conditions
出处
《电工技术学报》
EI
CSCD
北大核心
2001年第2期30-33,共4页
Transactions of China Electrotechnical Society
基金
河北省自然科学基金重点资助项目! (5 990 17
关键词
电磁场
无单元法
滑动最小二乘法
数值计算
Electromagnetic field Element free method(EFM) Moving least squares(MLS)
