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Cezaro, Adriano de
(2012)
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Cezaro, Adriano de; Leitão, Antônio
(2012)
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Cezaro, Adriano de; Baumeister, Johann; Leitão, Antônio
(2011)
We investigate iterated Tikhonov methods coupled with a Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent regularization ...
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Cezaro, Adriano de; Johansson, Thomas
(2012)
We investigate uniqueness in the inverse problem of reconstructing simultaneously a spacewise conduc- tivity function and a heat source in the parabolic heat equation from the usual conditions of the direct problem and ...
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Cezaro, Adriano de
(2012)
We investigate a level-set type method for solving ill-posed problems, with the assumption that the solutions are piecewise, but not necessarily constant functions with unknown level sets and unknown level values. In order ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2009)
We propose a regularization method for solving ill-posed problems, under the assumption that the solutions are piecewise constant functions with unknown level sets and unknown level values. A level set framework is established ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2009)
We analyze a multiple level-set method for solving inverse problems with piecewise constant solutions. This method corresponds to an iterated Tikhonov method for a particular Tikhonov functional Gα based on TV–H1 penalization. ...
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Cezaro, Adriano de; Leitão, Antônio; Tai, Xue-Cheng
(2013)
We investigate level-set-type methods for solving ill-posed problems with discontinuous (piecewise constant) coefficients. The goal is to identify the level sets as well as the level values of an unknown parameter function ...
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Cezaro, Adriano de; Haltmeier, Markus; Leitão, Antônio; Scherzer, Otmar
(2008)
We investigate modified steepest-descent methods coupled with a loping Kaczmarz strategy for obtaining stable solutions of nonlinear systems of ill-posed operator equations. We show that the proposed method is a convergent ...
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Cezaro, Adriano de; Cezaro, Fabiana Travessini de
(2012)
In this contribution we show sufficient conditions for simultaneous unique identification of unknown spacewise coefficients and heat source in a parabolic partial differential equation given additional final time measurements. ...
