A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity
-
Masaru Ikehata
ikehata@math.sci.gunma-u.ac.jp
Downloads
Abstract
Previous applications of the enclosure method with a finite set of observation data to a mathematical model of electrical impedance tomography are based on the assumption that the conductivity of the background body is homogeneous and known. This paper considers the case when the conductivity is homogeneous and unknown. It is shown that, in two dimensions if the domain occupied by the background body is enclosed by an ellipse, then it is still possible to extract some information about the location of unknown cavities or inclusions embedded in the body without knowing the background conductivity provided the Fourier series expansion of the voltage on the boundary does not contain high frequency parts (band limited) and satisfies a non vanishing condition of a quantity involving the Fourier coefficients.
Keywords
Most read articles by the same author(s)
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
Similar Articles
- M. H. Saleh, S. M. Amer, M. A. Mohamed, N. S. Abdelrhman, Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Stanislas Ouaro, Noufou Sawadogo, Nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary condition , CUBO, A Mathematical Journal: Vol. 22 No. 1 (2020)
- Fang Li, Zuodong Yang, Existence of blow-up solutions for quasilinear elliptic equation with nonlinear gradient term. , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Meriem Djibaoui, Toufik Moussaoui, Variational methods to second-order Dirichlet boundary value problems with impulses on the half-line , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Rafael Galeano, Pedro Ortega, John Cantillo, Stationary Boltzmann equation and the nonlinear alternative of Leray-Schauder type , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Stanislas Ouaro, Noufou Rabo, Urbain Traoré, Numerical analysis of nonlinear parabolic problems with variable exponent and \(L^1\) data , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Takahiro Sudo, Computing the inverse Laplace transform for rational functions vanishing at infinity , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Mihai Prunescu, Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- Zhenlai Han, Shurong Sun, Symplectic Geometry Applied to Boundary Problems on Hamiltonian Difference Systems , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
- Binayak Choudhury, Subhajit Kundu, Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
