atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia

	atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia
	Hu Qiya1 ; Zhao Lin 2
	2018
发表期刊	numericalmathematicstheorymethodsandapplications
ISSN	1004-8979
卷号	11 期号:3 页码:453
摘要	In this paper we are concerned with numerical methods for nonhomogeneous Helmholtz equations in inhomogeneous media. We try to extend the plane wave method, which has been widely used to the discretization of homogeneous Helmholtz equations with constant wave numbers, to solving nonhomogeneous Helmholtz equations with piecewise constant wave numbers. To this end, we propose a combination between the plane wave discontinuous Galerkin (PWDG) method and the high order element discontinuous Galerkin (HODG) method for the underlying Helmholtz equations. In this composite methods, we need only to solve a series of local Helmholtz equations by the HODG method and solve a locally homogeneous Helmholtz equation with element-wise constant wave number by the PWDG method. In particular, we first consider non-matching grids so that the generated approximations have better performance for the current case. Numerical experiments show that the proposed methods are very effective to the tested Helmholtz equations.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/37588
专题	计算数学与科学工程计算研究所
作者单位	1.中国科学院数学与系统科学研究院 2.Huada Empyrean Software Co., Ltd, China Electronics Corporation
推荐引用方式 GB/T 7714	Hu Qiya,Zhao Lin. atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia[J]. numericalmathematicstheorymethodsandapplications,2018,11(3):453.
APA	Hu Qiya,&Zhao Lin.(2018).atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia.numericalmathematicstheorymethodsandapplications,11(3),453.
MLA	Hu Qiya,et al."atwostepsmethodbasedonplanewavefornonhomogeneoushelmholtzequationsininhomogeneousmedia".numericalmathematicstheorymethodsandapplications 11.3(2018):453.