摘要
无单元Galerkin方法作为一种新的数值计算方法,只需节点信息,不需单元信息,从而摆脱了单元的限制,可用于有限元法不能有效解决的工程电磁场问题,如薄板问题、小气隙问题、运动线圈问题等.本文对无单元Galerkin方法的一些关键问题进行了研究,如强加边界条件的处理问题、介质交界面条件的处理问题、权函数的选取问题等,并给出了相关算例.
Element-Free Galerkin Method(EFGM)is a new method for electromagnetic field computation.It does not require meshes,only a distribution of points and description of the boundaries.Therefore,EFGM can resolve effectively some problems that Finite Element Method(FEM)can not resolve in electromagnetic field,such as thin plate problems,narrow air gap problems,moving conductor problems,etc.In this paper,detailed research is done on some key problems,such as the treatment of imposing boundary conditions and interface conditions, the selection of the weighted function.Some examples are given.
出处
《河北工业大学学报》
CAS
2004年第2期28-34,共7页
Journal of Hebei University of Technology
基金
河北省自然科学基金重点资助项目(E2004000058)
关键词
电磁场
无单元Galerkin方法
滑动最小二乘法
强加边界条件
罚函数
可视性准则
electromagnetic field
element-free galerkin method
moving least squares
imposed boundary con ditions
penalty function
visibility criterion
