2016 Fiscal Year Final Research Report
New development of the enclosure method for inverse obstacle scattering
| Project/Area Number |
25400155
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical analysis
|
|---|
| Research Institution | Hiroshima University |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
ITOU HIROMICHI 東京理科大学, 理学部, 講師 (30400790)
|
|---|
| Project Period (FY) |
2013-04-01 – 2017-03-31
|
| Keywords | Inverse problems / enclosure method / inverse scattering / wave equation / Maxwell system |
|---|
| Outline of Final Research Achievements |
First, inverse obstacle scattering problems of waves governed by the classical wave equation and Maxwell system under several boundary conditions have been considered by using the enclosure method in the finite time domain. Several formulas for extracting information about the location, shape and further the quantitative and qualitative state of the surface of the obstacle from the observed wave are given. Second, a new version of the time domain enclosure method using a single input has been discovered.
Third, a method letting us know the estimation of the location together with the existence/nonexistence of unknown discontinuity embedded in a rough background medium from the observed wave has been introduced.
|
| Free Research Field |
偏微分方程式に対する逆問題
|
