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基于高阶形函数边界元法的金属介质散射模拟
引用本文:李甜甜,孙冬.基于高阶形函数边界元法的金属介质散射模拟[J].安徽大学学报(自然科学版),2017,41(3).
作者姓名:李甜甜  孙冬
作者单位:安徽大学 数学科学学院,安徽 合肥,230601;安徽大学 电气工程与自动化学院,安徽 合肥,230601
基金项目:国家自然科学基金青年科学基金资助项目
摘    要:用金属介质表面电荷和电流分别代替电位和磁位,推导出非迟滞和迟滞情形下金属介质粒子散射的边界积分方程;采用高阶形函数处理离散后的边界积分方程提高了解的精度;对不同形状的介质材料进行粒子散射的数值模拟,数值解与解析解对比结果表明此边界元法具有有效性.

关 键 词:边界元法  形函数  散射截面  消光截面

The simulation of metal medium scattering problems based on the boundary element method with higher order form function
LI Tiantian,SUN Dong.The simulation of metal medium scattering problems based on the boundary element method with higher order form function[J].Journal of Anhui University(Natural Sciences),2017,41(3).
Authors:LI Tiantian  SUN Dong
Abstract:In this paper, the surface charge and current were used to represent the potential and the magnetic potential and a series of integral equations were obtained.A higher order form function was used to deal with discrete boundary integral equation, which greatly improved the accuracy of the solution.Finally, the numerical simulation particle scattering with different shapes and numbers was considered, the validity of algorithm was verified.
Keywords:boundary element method  shape function  scattering cross sections  extinction cross sections
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