ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS

	ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS
	Wang, Kun 1; Wong, Yau Shu 2; Huang, Jizu3,4
	2019
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	16 期号:3 页码:412-435
摘要	Motivated by our recent work about pollution-free difference schemes for solving Helmholtz equation with high wave numbers, this paper presents an analysis of error estimate for the numerical solution on the annulus and hollow sphere domains. By applying the weighted-test-function method and defining two special interpolation operators, we first derive the existence, uniqueness, stability and the pollution-free error estimate for the one-dimensional problems generated from a method based on separation of variables. Utilizing the spherical harmonics and approximations results, we then prove the pollution-free error estimate in L-2-norm for multidimensional Helmholtz problems.
关键词	Helmholtz equation error estimate finite difference method polar and spherical coordinates pollution-free scheme
语种	英语
资助项目	National Natural Science Foundation of China[11501554] ; National Natural Science Foundation of China[91630205] ; Natural Sciences and Engineering Research Council of Canada ; Chongqing Research Program of Basic Research and Frontier Technology[cstc2017jcyjAX0231] ; Fundamental Research Funds for the Central Universities[106112017CDJXY100006]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000459446500003
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32651
专题	计算数学与科学工程计算研究所
通讯作者	Wang, Kun
作者单位	1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Wang, Kun,Wong, Yau Shu,Huang, Jizu. ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2019,16(3):412-435.
APA	Wang, Kun,Wong, Yau Shu,&Huang, Jizu.(2019).ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,16(3),412-435.
MLA	Wang, Kun,et al."ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 16.3(2019):412-435.