北华大学学报(自然科学版)2016,Vol.17Issue(1):20-23,4.DOI:10.11713/j.issn.1009-4822.2016.01.005
一类介质散射问题的数值算法
Numerical Approach to Compute a Kind of Medium Scattering
摘要
Abstract
Focused on a kind of scattering problem of time harmonic wave in inhomogeneous medium,we propose a non-polynomial finite element method. The domain is first truncated into a bounded one by the artificial absorbing boundary. Then plane wave functions are used as the basis functions to construct the discrete space. Finally,the objective functional for computation is defined by the jump of the solution and its normal derivative on the interfaces. The algorithm can not only deal well with the problem with small wave number,but also apply to the case of big wave number. And its implementation is also simple. Numerical simulation for the algorithm is presented to illustrate the effectiveness of the approach.关键词
介质散射/人工吸收边界/平面波函数/非多项式有限元算法Key words
medium scattering/artificial absorbing boundary/plane wave function/non-polynomial finite element method分类
数理科学引用本文复制引用
王帅,栾天,吕洪斌..一类介质散射问题的数值算法[J].北华大学学报(自然科学版),2016,17(1):20-23,4.基金项目
国家自然科学基金项目(51178001) (51178001)
北华大学青年教师教研课题项目. ()