Title :
Globally Convergent Numerical Methods for Some Coefficient Inverse Problems
Author :
Xin, Jianguo ; Beilina, Larisa ; Klibanov, Michael V.
Author_Institution :
Univ. of North Carolina at Charlotte, Charlotte, NC, USA
Abstract :
How can we differentiate between an underground stone and a landmine? A class of new numerical methods aims to address this question using globally convergent-rather than locally convergent-algorithms for coefficient inverse problems. Numerical results model imaging of the spatially distributed dielectric permittivity function in an environment where antipersonnel landmines are embedded along with stones.
Keywords :
convergence of numerical methods; inverse problems; partial differential equations; permittivity; PDE; antipersonnel landmines; coefficient inverse problems; global convergent numerical methods; partial differential equations; spatial distributed dielectric permittivity function; underground stone; Acoustic imaging; Dielectrics; Image converters; Inverse problems; Landmine detection; Permittivity; Shape; Signal processing algorithms; Stability; Tomography; Coefficient inverse problems; convexification algorithms; globally convergent methods; imaging inhomogeneities;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2010.22
