STABILITY IN CONDUCTIVITY IMAGING FROM PARTIAL MEASUREMENTS OF ONE INTERIOR CURRENT

被引：7

作者：

Montalto, Carlos ^{[1
]}

Tamasan, Alexandru ^{[2
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

INVERSE PROBLEMS AND IMAGING | 2017年 / 11卷 / 02期

关键词：

Hybrid inverse problems; current density imaging; magnetic resonance; electrical impedance tomography; 1-Laplacian; CURRENT-DENSITY; RECONSTRUCTION;

D O I：

10.3934/ipi.2017016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a stability result in the hybrid inverse problem of recovering the electrical conductivity from partial knowledge of one current density field generated inside a body by an imposed boundary voltage. The region of stable reconstruction is well defined by a combination of the exact and perturbed data. This work explains the high resolution and accuracy reconstructions in some existing numerical experiments that use partial interior data.

引用

页码：339 / 353

页数：15

共 33 条

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[2] Global stability for a coupled physics inverse problem [J].