Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

D. J. Cedio-Fengya; S. Moskow; M. S. Vogelius

doi:10.1088/0266-5611/14/3/011

Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

D. J. Cedio-Fengya, S. Moskow, M. S. Vogelius

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

207 Scopus citations

Abstract

We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.

Original language	English (US)
Pages (from-to)	553-595
Number of pages	43
Journal	Inverse Problems
Volume	14
Issue number	3
DOIs	https://doi.org/10.1088/0266-5611/14/3/011
State	Published - 1998

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Signal Processing
Mathematical Physics
Computer Science Applications
Applied Mathematics

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title = "Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction",

abstract = "We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.",

author = "Cedio-Fengya, {D. J.} and S. Moskow and Vogelius, {M. S.}",

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T1 - Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

AU - Cedio-Fengya, D. J.

AU - Moskow, S.

AU - Vogelius, M. S.

PY - 1998

Y1 - 1998

N2 - We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.

AB - We derive an asymptotic formula for the steady-state voltage potential in the presence of a finite number of diametrically small inhomogeneities with conductivity different from the background conductivity. We use this formula to establish continuous dependence estimates and to design an effective computational identification procedure.

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U2 - 10.1088/0266-5611/14/3/011

DO - 10.1088/0266-5611/14/3/011

M3 - Article

AN - SCOPUS:0000932785

SN - 0266-5611

VL - 14

SP - 553

EP - 595

JO - Inverse Problems

JF - Inverse Problems

IS - 3

ER -

Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction

Abstract

All Science Journal Classification (ASJC) codes

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