Efficient Spectral Stochastic Finite Element Methods for Helmholtz Equations with Random Inputs

doi:10.4208/eajam.140119.160219

	Efficient Spectral Stochastic Finite Element Methods for Helmholtz Equations with Random Inputs
	Wang, Guanjie; Liao, Qifeng
	2019-08
发表期刊	EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
ISSN	2079-7362
卷号	9 期号:3 页码:601-621
发表状态	已发表
DOI	10.4208/eajam.140119.160219
摘要	The implementation of spectral stochastic Galerkin finite element approximation methods for Helmholtz equations with random inputs is considered. The corresponding linear systems have matrices represented as Kronecker products. The sparsity of such matrices is analysed and a mean-based preconditioner is constructed. Numerical examples show the efficiency of the mean-based preconditioners for stochastic Helmholtz problems, which are not too close to a resonant frequency.
关键词	Helmholtz equations PDEs with random data generalised polynomial chaos stochastic finite elements iterative solvers
收录类别	SCI ; SCIE
语种	英语
资助项目	National Natural Science Foundation of China[11601329]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000470088100011
出版者	GLOBAL SCIENCE PRESS
WOS关键词	PARTIAL-DIFFERENTIAL-EQUATIONS ; DYNAMICALLY BIORTHOGONAL METHOD ; COLLOCATION METHODS ; MODELING UNCERTAINTY ; GALERKIN METHODS ; PRECONDITIONERS ; CONVERGENCE ; SCATTERING ; QMR
原始文献类型	Article
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/48982
专题	信息科学与技术学院_PI研究组_廖奇峰组
通讯作者	Liao, Qifeng
作者单位	ShanghaiTech Univ, Sch Informat Sci & Technol, Shanghai, Peoples R China
第一作者单位	信息科学与技术学院
通讯作者单位	信息科学与技术学院
第一作者的第一单位	信息科学与技术学院
推荐引用方式 GB/T 7714	Wang, Guanjie,Liao, Qifeng. Efficient Spectral Stochastic Finite Element Methods for Helmholtz Equations with Random Inputs[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2019,9(3):601-621.
APA	Wang, Guanjie,&Liao, Qifeng.(2019).Efficient Spectral Stochastic Finite Element Methods for Helmholtz Equations with Random Inputs.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,9(3),601-621.
MLA	Wang, Guanjie,et al."Efficient Spectral Stochastic Finite Element Methods for Helmholtz Equations with Random Inputs".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 9.3(2019):601-621.