Inverse Crack Problem and Probe Method
-
Masaru Ikehata
ikehata@math.sci.gunma-u.ac.jp
Downloads
Abstract
A problem of extracting information about the location and shape of unknown cracks in a background medium from the Dirichlet-to-Neumann map is considered. An application of a new formulation of the probe method introduced by the author to the problem is given. The method is based on: the blowup property of sequences of special solutions of the governing equation for the background medium which are related to a singular solution of the equation; an explicit lower bound of an L2-norm of the gradient of the so-called reflected solution.
Keywords
Most read articles by the same author(s)
- Masaru Ikehata, A Remark on the Enclosure Method for a Body with an Unknown Homogeneous Background Conductivity , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
Similar Articles
- Sirkka-Liisa Eriksson, Heikki Orelma, A simple construction of a fundamental solution for the extended Weinstein equation , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- John A.D. Appleby, James P. Gleeson, Alexandra Rodkina, Asymptotic Constancy and Stability in Nonautonomous Stochastic Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Martin Bohner, Julius Heim, Ailian Liu, Solow models on time scales , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- J. Henderson, S.K. Ntouyas, I.K. Purnaras, Positive Solutions for Systems of Three-point Nonlinear Boundary Value Problems with Deviating Arguments , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Mohsen Razzaghi, Hamid-Reza Marzban, Hybrid Functions in the Calculus of Variations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Sóstenes Lins, Valdenberg Silva, On Maps with a Single Zigzag , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Fred Brackx, Hennie De Schepper, Frank Sommen, Liesbet Van de Voorde, Discrete Clifford analysis: an overview , CUBO, A Mathematical Journal: Vol. 11 No. 1 (2009): CUBO, A Mathematical Journal
- Rubén A. Hidalgo, The structure of extended function groups , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- A. Zerki, K. Bachouche, K. Ait-Mahiout, Existence of solutions for higher order \(\phi-\)Laplacian BVPs on the half-line using a one-sided Nagumo condition with nonordered upper and lower solutions , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2006-04-01
How to Cite
[1]
M. Ikehata, “Inverse Crack Problem and Probe Method”, CUBO, vol. 8, no. 1, pp. 29–40, Apr. 2006.
Issue
Section
Articles
