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15
CARLEMAN ESTIMATES FOR GLOBAL UNIQUENESS, STABILITY AND NUMERICAL METHODS FOR COEFFICIENT INVERSE PROBLEMS
, 2012
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A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data
 J. Inverse and IllPosed Problems
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A globally convergent numerical method for a Coefficient Inverse Problem with backscattering data
, 2010
"... A survey of recent results of the authors is presented. This survey is short due to space limitations. A Coefficient Inverse Problem for a hyperbolic PDE with backscattering data is considered. A globally convergent numerical method for this problem is presented. Analytical results are supported by ..."
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Cited by 6 (4 self)
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A survey of recent results of the authors is presented. This survey is short due to space limitations. A Coefficient Inverse Problem for a hyperbolic PDE with backscattering data is considered. A globally convergent numerical method for this problem is presented. Analytical results are supported by computational ones. 1
Convergence of an adaptive finite element method for distributed flux reconstruction
"... We shall establish the convergence of an adaptive conforming finite element method for the reconstruction of the distributed flux in a diffusion system. The adaptive method is based on a posteriori error estimators for the distributed flux, state and costate variables. The sequence of discrete solut ..."
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Cited by 2 (1 self)
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We shall establish the convergence of an adaptive conforming finite element method for the reconstruction of the distributed flux in a diffusion system. The adaptive method is based on a posteriori error estimators for the distributed flux, state and costate variables. The sequence of discrete solutions produced by the adaptive algorithm is proved to converge to the true triplet satisfying the optimality conditions in the energy norm and the corresponding error estimator converges to zero asymptotically.
The Gel’fandLevitanKrein method and the globally convergent method for experimental data
"... Abstract: Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Gel’fandLevitanKrein equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is perf ..."
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Cited by 1 (0 self)
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Abstract: Comparison of numerical performances of two methods for coefficient inverse problems is described. The first one is the classical Gel’fandLevitanKrein equation method, and the second one is the recently developed approximately globally convergent numerical method. This comparison is performed for both computationally simulated and experimental data.
1QUANTITATIVE IMAGE RECOVERY FROM MEASURED BLIND BACKSCATTERED DATA USING A GLOBALLY CONVERGENT INVERSE METHOD
"... This paper has been peerreviewed but does not include the final publisher proofcorrections or journal pagination. Citation for the published paper: ..."
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This paper has been peerreviewed but does not include the final publisher proofcorrections or journal pagination. Citation for the published paper:
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"... Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method ..."
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Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method