EFG-MG法及其在电磁场数值计算中的应用  

An EFG-MG Method and Its Application in Numerical Calculation of Electromagnetic Field

作　　者：王立鹏[1,2] 王欣彦[2] 唐任远[1] 

机构地区：[1]沈阳工业大学电气工程学院,沈阳110023 [2]沈阳化工学院机械工程学院,沈阳110142

出　　处：《电工技术学报》2010年第1期1-5,共5页Transactions of China Electrotechnical Society

摘　　要：为了解决无单元法求解效率不高的问题,将用于加速迭代求解的多重网格法引入到伽辽金型无单元法离散的场中,提出了基于伽辽金型无单元的多重网格法(EFG-MG)。这种方法采用了节点群来构造粗节点,并通过粗细节点之间的关系来确定限制算子。本文将EFG-MG法应用到电磁场数值计算中,通过算例分析,验证了该方法可提高伽辽金型无单元法的求解效率。In order to resolve the problem of low computational efficiency of element-free Galerkin method,the paper introduces the accelerated iterative multigrid method to the element-free Galerkin discrete field,and proposes a multigrid method of element-free Galerkin（EFG-MG）.The node group is used to construct coarse nodes and the restriction operator is disposed in terms of the relation of coarse nodes and fine nodes.It is used to numerical computation of electromagnetic field problems,and the high efficiency of element-free Galerkin method is proved by examples.

关 键 词：电磁场 伽辽金型无单元多重网格法 工作单位数 无单元法 多重网格法 

分 类 号：O241[理学—计算数学] O441.4[理学—数学]