Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Comment on A.-P. Calderón's paper: ``On an inverse boundary value problem'' [in Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), 65-73, Soc. Brasil. Mat., Rio de Janeiro, 1980; MR0590275 (81k:35160)]

Authors: David Isaacson and Eli L. Isaacson
Journal: Math. Comp. 52 (1989), 553-559
MSC: Primary 35R30; Secondary 35K60
MathSciNet review: 962208
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Calderón determined a method to approximate the conductivity $ \sigma $ of a conducting body in $ {R^n}$ (for $ n \geq 2$) based on measurements of boundary data. The approximation is good in the $ {L_\infty }$ norm provided that the conductivity is a small perturbation from a constant. We calculate the approximation exactly for the case of homogeneous concentric conducting disks in $ {R^2}$ with different conductivities. Here, the difference in the conductivities is the perturbation. We show that the approximation yields precise information about the spatial variation of $ \sigma $, even when the perturbation is large. This ability to distinguish spatial regions with different conductivities is important for clinical monitoring applications.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 35R30, 35K60

Retrieve articles in all journals with MSC: 35R30, 35K60

Additional Information

Article copyright: © Copyright 1989 American Mathematical Society

American Mathematical Society