A Uniqueness Result Concerning the Identification of a Collection of Cracks from Finitely Many Electrostatic Boundary Measurements.

Abstract

Consider the problem of locating and identifying a collection of finitely many cracks inside a planar domain from measurements of the electrostatic boundary potentials induced by specified current fluxes. It is shown that a collection of n or fewer cracks can be uniquely identified by measuring the boundary potentials induced by n+1 specified current fluxes, consisting entirely of electrode pairs.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1991
Accession Number
ADA239128

Entities

People

  • Kurt Bryan
  • Michael Vogelius

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Contracts
  • Differential Equations
  • Engineering
  • Equations
  • Identities
  • Inequalities
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Steady State
  • Terminals

Readers

  • Materials Science and Engineering.
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design