The shortest lengths and the enclosure method for time dependent problems
Mishio Kawashita, Wakako Kawashita
TL;DR
This paper explores the shortest distance concept in the time-dependent enclosure method for inverse problems, focusing on inclusions in layered and non-layered media, and relaxes boundary regularity assumptions.
Contribution
It introduces the role of shortest distances in the enclosure method and relaxes boundary regularity conditions for inclusions in inverse problems.
Findings
Shortest distance plays a key role in the enclosure method.
Boundary regularity assumptions are successfully relaxed.
Applicable to layered and non-layered media.
Abstract
In this paper, we discuss the role of the shortest distance in time-dependent enclosure method for the inverse problems when the inclusions are embedded in a non-layered or two-layered medium. Furthermore, the regularity assumptions for the boundaries of the inclusions are relaxed.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Mathematical Modeling in Engineering · Composite Material Mechanics