Numerical Solution of a Three-Dimensional Coefficient Inverse Problem for the Wave Equation with Integral Data in a Cylindrical Domain

被引：0
|
作者：
A. B. Bakushinsky
A. S. Leonov
机构：
[1] Russian Academy of Sciences,Institute of System Analysis. Federal Research Center “Informatics and Control,”
[2] National Research Nuclear University (Moscow Engineering Physics Institute),undefined
来源：
Numerical Analysis and Applications | 2019年 / 12卷
关键词：
three-dimensional wave equation; wave field; coefficient inverse problem; regularizing algorithm; fast Fourier transform;
D O I：
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学科分类号：
摘要：
A three-dimensional coefficient inverse problem for the wave equation (with losses) in a cylindrical domain is considered. The data given for its solution are special time integrals of a wave field measured in a cylindrical layer. We present and substantiate an efficient algorithm for solving this three-dimensional problem based on the fast Fourier transform. The algorithm makes it possible to obtain a solution on 512× 512×512 grids in about 1.4 hours on a typical PC without paralleling the calculations. The results of numerical experiments of model inverse problem solving are presented.
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页码：311 / 325
页数：14
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