8 Convexification for a coefficient inverse problem for a hyperbolic equation with a single location of the point source

2021 ◽  
pp. 171-198
Keyword(s):  
Inverse Problem ◽  
Point Source ◽  
Hyperbolic Equation ◽  
Coefficient Inverse Problem ◽  
Single Location

scholarly journals Convexification of restricted Dirichlet-to-Neumann map

2017 ◽  
Vol 25 (5) ◽  
Author(s):  
Michael V. Klibanov
Keyword(s):  
Inverse Problem ◽  
Point Source ◽  
Boundary Data ◽  
Neumann Boundary ◽  
The Other ◽  
Coefficient Inverse Problem ◽  
Other Hand ◽  
Straight Line ◽  
Dirichlet To Neumann Map

AbstractBy our definition, “restricted Dirichlet-to-Neumann (DN) map” means that the Dirichlet and Neumann boundary data for a coefficient inverse problem (CIP) are generated by a point source running along an interval of a straight line. On the other hand, the conventional DN data can be generated, at least sometimes, by a point source running along a hypersurface. CIPs with restricted DN data are non-overdetermined in the

scholarly journals A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data

2018 ◽  
Vol 11 (4) ◽  
pp. 2339-2367 ◽  
Author(s):  
Michael V. Klibanov ◽  
Nikolay A. Koshev ◽  
Dinh-Liem Nguyen ◽  
Loc H. Nguyen ◽  
Aaron Brettin ◽  
...  
Keyword(s):  
Experimental Data ◽  
Inverse Problem ◽  
Numerical Method ◽  
Coefficient Inverse Problem ◽  
Single Measurement

scholarly journals Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data

2020 ◽  
Vol 14 (5) ◽  
pp. 913-938 ◽  
Author(s):  
Alexey Smirnov ◽  
◽  
Michael Klibanov ◽  
Loc Nguyen
Keyword(s):  
Inverse Problem ◽  
Measurement Data ◽  
Coefficient Inverse Problem ◽  
Single Measurement

Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem

2010 ◽  
Vol 26 (4) ◽  
pp. 045003 ◽  
Author(s):  
Michael V Klibanov ◽  
Michael A Fiddy ◽  
Larisa Beilina ◽  
Natee Pantong ◽  
John Schenk
Keyword(s):  
Inverse Problem ◽  
Experimental Verification ◽  
Coefficient Inverse Problem ◽  
Globally Convergent ◽  
Convergent Algorithm
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