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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中图分类号
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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