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39 papers · 1 filter
Iterative regularization methods for a discrete inverse problem in MRI
A. Leitao, J. Zubelli
We propose and investigate efficient numerical methods for inverse problems related to Magnetic Resonance Imaging (MRI). Our goal is to extend the recent convergence results for th…
Optimal polymer slugs injection profiles
F. Bakharev, A. Enin, K. Kalinin +3
The graded viscosity banks technology (tapering) for polymer flooding is studied for several different models of mixing zones behavior. Depending on the viscosity function the limi…
On inverse doping profile problems for the stationary voltage-current map
A. Leitao, P. A. Markowich, J. P. Zubelli
We consider the problem of identifying possibly discontinuous doping profiles in semiconductor devices from data obtained by\,stationary voltage-current maps. In particular, we foc…
On a family of gradient type projection methods for nonlinear ill-posed problems
A. Leitao, B. F. Svaiter
We propose and analyze a family of successive projection methods whose step direction is the same as Landweber method for solving nonlinear ill-posed problems that satisfy the Tang…
Range-relaxed criteria for choosing the Lagrange multipliers in the Levenberg-Marquardt method
A. Leitao, F. Margotti, B. F. Svaiter
In this article we propose a novel strategy for choosing the Lagrange multipliers in the Levenberg-Marquardt method for solving ill-posed problems modeled by nonlinear operators ac…
On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations
A. Leitao, B. F. Svaiter
In this article we combine the projective Landweber method, recently proposed by the authors, with Kaczmarz's method for solving systems of non-linear ill-posed equations. The unde…