5 papers
Removing small wavenumber constraints in Side B of the Probe Method
Masaru Ikehata
The Probe Method is an analytical reconstruction scheme for inverse obstacle problems utilizing the Dirichlet-to-Neumann map associated with the governing partial differential equa…
Integrating the probe and singular sources methods: IV. IPS function for the Schrödinger equation
Masaru Ikehata
The integrated theory of the probe and singular sources methods (IPS) is developed for an inverse obstacle problem governed by the stationary Schrödinger equation in a bounded dom…
The enclosure method using a single point on the graph of the response operator for the Stokes system
Masaru Ikehata
An inverse obstacle problem governed by the Stokes system in the time domain is considered. Two types of extraction formulae about the geometry of an unknown obstacle are given by…
Integrating the probe and singular sources methods: III. Mixed obstacle case
Masaru Ikehata
The main purpose of this paper is to develop further the integrated theory of the probe and singular sources methods (IPS) which may work for a group of inverse obstacle problems.…
Integrating the probe and singular sources methods
Masaru Ikehata
The probe and singular sources methods are two well-known classical direct reconstruction methods in inverse obstacle problems governed by partial differential equations. In this p…