无网格伽辽金法及其在电磁场数值计算中的应用  

The element free Galerkin method and its application in numerical computations of electromagnetic fields

作　　者：倪培宏[1] 杨仕友[1] 

机构地区：[1]浙江大学电气工程学院,浙江杭州310027

出　　处：《电机与控制学报》2003年第1期26-29,共4页Electric Machines and Control

基　　金：国家自然科学基金资助项目(59877022)

摘　　要：将无网格伽辽金法推广应用于电磁场的数值计算。详细论述了移动最小二乘近似的基本原理和具体实施过程,采用罚因子法处理第一类边界条件。基于修正的弱形式泛函的建立,导出了算法的离散模型。为验证所述的模型和方法,给出了数学验证和计算实例。The element free Galerkin (EFG) method is extended and employed for numerical computations of electromagnetic fields. The moving least squares approximations technique and its numerical implementation are described. The discrete mathematical models of the proposed method are developed by means of the modified weak form functional and the penalty method is used to enforce the essential boundary condition. Numerical results on a mathematical function validate the proposed method. Application in solving electrostatic field problems is presented.

关 键 词：电磁场 数值计算 无网格伽辽金法 几何模型 

分 类 号：TM153[电气工程—电工理论与新技术]