
Carleman contraction mapping for a 1D inverse scattering problem with experimental timedependent data
It is shown that the contraction mapping principle with the involvement ...
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A Carlemanbased numerical method for quasilinear elliptic equations with overdetermined boundary data and applications
We propose a new iterative scheme to compute the numerical solution to a...
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Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equation
The main aim of this paper is to solve an inverse source problem for a g...
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Convexificationbased globally convergent numerical method for a 1D coefficient inverse problem with experimental data
To compute the spatially distributed dielectric constant from the backsc...
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Numerical viscosity solutions to HamiltonJacobi equations via a Carleman estimate and the convexification method
We propose a globally convergent numerical method, called the convexific...
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The gradient descent method for the convexification to solve boundary value problems of quasilinear PDEs and a coefficient inverse problem
We study the global convergence of the gradient descent method of the mi...
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The quasireversibility method to numerically solve an inverse source problem for hyperbolic equations
We propose a numerical method to solve an inverse source problem of comp...
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An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data
This report extends our recent progress in tackling a challenging 3D inv...
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Convexification and experimental data for a 3D inverse scattering problem with the moving point source
Inverse scattering problems of the reconstructions of physical propertie...
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Convexification for a 1D Hyperbolic Coefficient Inverse Problem with Single Measurement Data
A version of the convexification numerical method for a Coefficient Inve...
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Convergent numerical method for a linearized travel time tomography problem with incomplete data
We propose a new numerical method to solve the linearized problem of tra...
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Loc H. Nguyen
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