Determining Conductivity by Boundary Measurements. II. Interior Results.

Abstract

In a recent paper the authors showed that an unknown real-analytic conductivity gamma may be determined from static boundary measurements. In this document they extend this analysis by demonstrating that a similar result holds for piecewise real-analytic conductivities. In addition, for the special case of a layered structure it is shown that a three times continuously differentiable conductivity is identifiable by boundary measurements. Originator-supplied keywords include: Inversion, Convergence, Algorithms, Estimates, Coefficients.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA149750

Entities

People

  • M. Vogelius
  • R. V. Kohn

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analytic Functions
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Inverse Problems
  • Mathematics
  • Numerical Analysis
  • Physical Sciences
  • Sequences
  • Theorems
  • Two Dimensional
  • Universities
  • Variational Principles

Readers

  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.
  • Plasma Physics.