Author:
Ikehata Masaru,Kwon Kiwoon
Abstract
AbstractThis study deals with the numerical implementation of a formula in the enclosure method as applied to a prototype inverse initial boundary value problem for thermal imaging in a one-space dimension. A precise error estimate of the formula is given and the effect on the discretization of the used integral of the measured data in the formula is studied. The formula requires a large frequency to converge; however, the number of time interval divisions grows exponentially as the frequency increases. Therefore, for a given number of divisions, we fixed the trusted frequency region of convergence with some given error bound. The trusted frequency region is computed theoretically using the theorems provided in this paper and is numerically implemented for various cases.
Funder
Japan Society for the Promotion of Science
National Research Foundation of Korea
Reference34 articles.
1. https en wikipedia org wiki Riemann zeta function
2. On the reconstruction of inclusions in a heat conductive body from dynamical boundary data over a finite time interval;Inverse Problems,2010
3. Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements;Inverse Problems,2000
4. A numerical method for finding the convex hull of polygonal cavities using enclosure method;Inverse Problems,2002
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献