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INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES

文献类型：期刊论文

作者Bao, Gang1; Chen, Chuchu2; Li, Peijun3
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2017
卷号55期号:6页码:2616-2643
关键词inverse source scattering problem elastic wave equation stochastic partial differential equation Fredholm integral equation
ISSN号0036-1429
DOI10.1137/16M1088922
英文摘要This paper is concerned with the direct and inverse random source scattering problems for elastic waves, where the source is assumed to be driven by an additive white noise. Given the source, the direct problem is to determine the displacement of the random wave field. The inverse problem is to reconstruct the mean and variance of the random source from the boundary measurement of the wave field at multiple frequencies. The direct problem is shown to have a unique mild solution by using a constructive proof. Based on the explicit mild solution, Fredholm integral equations of the first kind are deduced for the inverse problem. The regularized block Kaczmarz method is developed to solve the ill-posed integral equations. The convergence is proved for the method. Numerical experiments are shown to demonstrate the effectiveness of the proposed method.
资助项目Key Project of the Major Research Plan of NSFC[91130004] ; NSFC A3 project[11421110002] ; NSFC Tianyuan project[11426235] ; NSFC Tianyuan project[11526211] ; NSFC Innovative Group Fund[11621101] ; Zhejiang University ; NSFC[91130003] ; NSFC[11021101] ; NSFC[11290142] ; NSF grant[DMS-1151308]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000418663500005
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/27088]  
专题计算数学与科学工程计算研究所
通讯作者Li, Peijun
作者单位1.Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
推荐引用方式
GB/T 7714		 Bao, Gang,Chen, Chuchu,Li, Peijun. INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2017,55(6):2616-2643.
APA Bao, Gang,Chen, Chuchu,&Li, Peijun.(2017).INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES.SIAM JOURNAL ON NUMERICAL ANALYSIS,55(6),2616-2643.
MLA Bao, Gang,et al."INVERSE RANDOM SOURCE SCATTERING FOR ELASTIC WAVES".SIAM JOURNAL ON NUMERICAL ANALYSIS 55.6(2017):2616-2643.

入库方式： OAI收割

来源：数学与系统科学研究院

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