Iterative reconstruction of the wave speed for the wave equation with bounded frequency boundary data

被引：11

作者：

Datchev, Kiril ^{[1
]}

de Hoop, Maarten V. ^{[1
,2
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Rice Univ, Dept Earth Sci, Dept Computat & Appl Math, Houston, TX 77005 USA

来源：

INVERSE PROBLEMS | 2016年 / 32卷 / 02期

关键词：

inverse boundary value problems; wave equation; resolvent estimates; Landweber iteration; wave speed reconstruction; FORM INVERSION; LIPSCHITZ STABILITY; PLANE-WAVE; TOMOGRAPHY; RESONANCES;

D O I：

10.1088/0266-5611/32/2/025008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse boundary value problem for the wave equation using measurements of waves emitted by band-limited boundary sources as the data. We prove how to choose classes of nonsmooth coefficient functions so that optimization formulations of inverse wave problems satisfy the prerequisites for the application of steepest descent and Newton-type iterative methods.

引用

页数：21

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