杂交边界点法在电磁场计算中的应用  

APPLICATION OF HYBRID BOUNDARY NODE METHOD IN ELECTROMAGNETIC COMPUTATION

作　　者：谭玲捷 张红霞 

机构地区：[1]武汉工程大学邮电与信息工程学院,湖北武汉430073 [2]南阳理工学院,河南南阳473000

出　　处：《南阳理工学院学报》2014年第6期7-9,共3页Journal of Nanyang Institute of Technology

摘　　要：以电磁场计算的拉普拉斯方程边值问题为研究对象,将杂交边界点法推广应用于电磁场的数值计算。杂交边界点法基于杂交位移变分原理和移动最小二乘近似,利用基本解插值域内的场函数,而边界上的变量则用移动最小二乘近似,是一种纯边界类型的无网格方法。该方法只需在边界上布点而不需要划分任何网格,解除了节点的网格束缚,能够消除由于网格存在所带来的缺陷。数值算例表明,该方法精度较高、计算量较小,适合于求解各种电磁场问题。Based on Laplace equation, the electromagnetic field computation is studied, and the hybrid boundary node method （HB- NM） is extended and employed for numerical computations of electromagnetic fields. The HBNM is based on a hybrid displacement variational principle and moving least square（MLS） approximation. The domain variables are interpolated by fundamental solution, while the boundary variables are approximated by MLS. Therefore, the HBNM is a truly boundary-type meshless method. Only nodes on the boundary are required and any mesh is not required. The numerical example indicates that this method has high precision, little computation work, and it is suitable for solving various electromagnetic fields problems.

关 键 词：电磁场 无网格法 杂交边界点法 移动最小二乘近似 

分 类 号：O343[理学—固体力学]