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

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 A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data

2018 ◽  
Vol 12 (2) ◽  
pp. 493-523 ◽  
Author(s):  
Michael V. Klibanov ◽  
◽  
Dinh-Liem Nguyen ◽  
Loc H. Nguyen ◽  
Hui Liu ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Numerical Method ◽  
Frequency Data ◽  
Coefficient Inverse Problem ◽  
Single Measurement ◽  
Globally Convergent

scholarly journals Optimizing Excitation Coil Currents for Advanced Magnetorelaxometry Imaging

2019 ◽  
Vol 62 (2) ◽  
pp. 238-252 ◽  
Author(s):  
Peter Schier ◽  
Maik Liebl ◽  
Uwe Steinhoff ◽  
Michael Handler ◽  
Frank Wiekhorst ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Magnetic Fields ◽  
Measurement Data ◽  
Quantitative Detection ◽  
Optimization Approach ◽  
Problem Solution ◽  
Reconstruction Algorithms ◽  
System Matrix ◽  
Imaging Quality ◽  
Excitation Coil

AbstractMagnetorelaxometry imaging is a highly sensitive technique enabling noninvasive, quantitative detection of magnetic nanoparticles. Electromagnetic coils are sequentially energized, aligning the nanoparticles’ magnetic moments. Relaxation signals are recorded after turning off the coils. The forward model describing this measurement process is reformulated into a severely ill-posed inverse problem that is solved for estimating the particle distribution. Typically, many activation sequences employing different magnetic fields are required to obtain reasonable imaging quality. We seek to improve the imaging quality and accelerate the imaging process using fewer activation sequences by optimizing the applied magnetic fields. Minimizing the Frobenius condition number of the system matrix, we stabilize the inverse problem solution toward model uncertainties and measurement noise. Furthermore, our sensitivity-weighted reconstruction algorithms improve imaging quality in lowly sensitive areas. The optimization approach is employed to real measurement data and yields improved reconstructions with fewer activation sequences compared to non-optimized measurements.

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

Gas-leak source identification by inverse problem analysis of infrared measurement data

2019 ◽  
Vol 2019 (0) ◽  
pp. OS1208
Author(s):  
Hiroki NISHIMURA ◽  
Daiki SHIOZAWA ◽  
Takahide SAKAGAMI ◽  
Shiro KUBO ◽  
Seiichi TSUDUKI ◽  
...  
Keyword(s):  
Inverse Problem ◽  
Source Identification ◽  
Measurement Data ◽  
Problem Analysis ◽  
Gas Leak ◽  
Infrared Measurement
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