scholarly journals Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case

2019 ◽  
Vol 42 (5) ◽  
pp. 1413-1431
Author(s):  
Masaru Ikehata
Keyword(s):  
Time Domain ◽  
Scalar Wave ◽  
Enclosure Method ◽  
The Time Domain

scholarly journals Prescribing a heat flux coming from a wave equation

2019 ◽  
Vol 27 (5) ◽  
pp. 731-744 ◽  
Author(s):  
Masaru Ikehata
Keyword(s):  
Heat Flux ◽  
Asymptotic Behavior ◽  
Wave Equation ◽  
Time Domain ◽  
Indicator Function ◽  
The Body ◽  
Enclosure Method ◽  
Whole Space ◽  
The Time Domain ◽  
Recent Version

Abstract What happens when one prescribes a heat flux which is proportional to the Neumann data of a solution of the wave equation in the whole space on the surface of a heat conductive body? It is shown that there is a difference in the asymptotic behavior of the indicator function in the most recent version of the time domain enclosure method, which aims at extracting information about an unknown cavity embedded in the body.

scholarly journals On finding a buried obstacle in a layered medium via the time domain enclosure method

2018 ◽  
Vol 12 (5) ◽  
pp. 1173-1198
Author(s):  
Masaru Ikehata ◽  
◽  
Mishio Kawashita ◽  
Keyword(s):  
Time Domain ◽  
Layered Medium ◽  
Enclosure Method ◽  
The Time Domain
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