Variational Methods for Inverse Conductivity Problems

被引：0
|
作者：
Carpio, A. [1 ]
Rapun, M. L. [2 ]
机构：
[1] Univ Complutense Madrid, Dept Matemat Aplicada, E-28040 Madrid, Spain
[2] Univ Politecn Madrid, ETSIA, Dept Fundamentos Matematicos, Madrid 28040, Spain
来源：
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C | 2011年 / 1389卷
关键词：
Inverse problems; tomography; shape reconstruction; parameter identification; topological derivatives; ELECTRICAL-IMPEDANCE TOMOGRAPHY;
D O I：
10.1063/1.3637891
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An iterative scheme for solving inverse conductivity problems is presented. We consider a medium containing several objects of different conductivity. Computing the topological derivatives of successive cost functionals, we obtain a sequence of improved approximations to the inclusions. Provided they are located close to the boundary where electric currents are applied, we find approximations of the number, size and location of the objects.
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页数：4
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