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求解一类介质散射问题的特殊解方法

栾天 李双双 张威

吉林大学学报(理学版)2018,Vol.56Issue(3):561-566,6.
吉林大学学报(理学版)2018,Vol.56Issue(3):561-566,6.DOI:10.13413/j.cnki.jdxblxb.2018.03.15

求解一类介质散射问题的特殊解方法

Particular Solution Method for Solving a Class of Medium Scattering Problem

栾天 1李双双 1张威1

作者信息

  • 1. 北华大学数学与统计学院 ,吉林吉林132013
  • 折叠

摘要

Abstract

A particular solution method was used to compute a class of time harmonic medium scattering problems .Based on a simple partition of the domain ,fundamental solutions were selected to approximate the property of the scattered field at local points and infinity .There was no need to cut unbounded domain into a bounded domain .The algorithm was suitable for the general scatterers and multiple scatterers ,which could achieve high precision in rough grids and achieve fast convergence . Numerical examples show the feasibility and effectiveness of the algorithm .

关键词

Helmholtz方程/位势函数/基本解/介质散射

Key words

Helmholtz equation/potential function/fundamental solution/medium scattering

分类

数理科学

引用本文复制引用

栾天,李双双,张威..求解一类介质散射问题的特殊解方法[J].吉林大学学报(理学版),2018,56(3):561-566,6.

基金项目

国家自然科学基金青年科学基金(批准号:11701013 ()

11601014)、吉林省教育科学"十三五"规划一般项目(批准号:GH170094)、吉林省教育厅科学技术研究项目(批准号:JJKH20170022KJ)和吉林省自然科学基金(批准号:20160101264JC). (批准号:GH170094)

吉林大学学报(理学版)

OA北大核心CSTPCD

1671-5489

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