势问题维数分裂无单元Galerkin法影响因子的研究  

Study on the Influencing Factors of Dimension Splitting Element Free Galerkin Method for Potential Problems

作　　者：李艳芳 孟智娟[1] 李兴国 任红萍[1] LI Yan-fang;MENG Zhi-juan;LI Xing-guo;REN Hong-ping(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原科技大学应用科学学院,太原030024

出　　处：《太原科技大学学报》2022年第3期270-276,共7页Journal of Taiyuan University of Science and Technology

基　　金：国家自然科学基金(11802194,52004169);山西省青年科技研究基金(201901D211311);太原科技大学博士启动基金(20192058)。

摘　　要：给出三维势问题的分维过程,然后对维数分裂无单元Galerkin方法(DSEFG)进行了介绍,说明了该方法是通过降维处理,以达到简化问题的目的。通过具体的数值算例,研究了节点分布和影响域参数d_(max)这两个影响因子对计算精度和效率的影响,从而选择出最优的节点分布和d_(max)的最优取值。In this paper,the fractal process of three-dimensional potential problem is given firstly,and then the dimension splitting element free Galerkin method(DSEFG)is introduced.The main idea of this method is to reduce the dimension and simplify the three-dimensional problem.Through a specific numerical example,the influences of node distribution and influence domain parameters d_(max) on the calculation accuracy and efficiency are studied,the optimal node distribution and the optimal d_(max) value are selected.

关 键 词：维数分裂无单元Galerkin方法 试函数 影响因子 相对误差 

分 类 号：O241.82[理学—计算数学]