A multilevel sampling method for detecting sources in a stratified ocean waveguide

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• 作者：Keji Liu^a ; ^{liu.keji@mail.shufe.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yongzhi Xu^b ; ^{ysxu0001@louisville.edu" class="auth_mail" title="E-mail the corresponding author} ; Jun Zou^c ; ^{zou@math.cuhk.edu.hk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35R30 ; 41A27 ; 76Q05
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：95-110
• 全文大小：1745 K

文摘

In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to locate the accurate position of a point source in a stratified ocean. The proposed method can be viewed as a direct sampling method since no solutions of optimizations or linear systems are involved. The novel method exhibits several strengths: fast convergence, robustness against noise, advantages in computational complexity and applicability for a very small number of receivers.