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Preprints:

• A Level set approach for semi-blind deconvolution: Application to bar code signals (with A.DeCezaro, E.Hafemann),
  in preparation
• On inertial Levenberg-Marquardt type methods for solving nonlinear ill-posed operator equations (with D.Lorenz, J.Rabelo, M.Winkler),
  submitted (Pdf)
• A relative error tolerant iterated-Tikhonov method for solving ill-posed problems (with A.L.Madureira, B.F.Svaiter),
  submitted (Pdf)
• On projective stochastic-gradient type methods for solving large scale systems of nonlinear ill-posed equations: Application to machine learning (with A.L.Madureira, J.Rabelo, Y.Saporito),
  submitted (Pdf)

Articles published in indexed journals:

[2024]
• On inertial iterated-Tikhonov methods for solving ill-posed problems (with J.Rabelo, A.L.Madureira),
  Inverse Problems 40 (2024), 035002 (Pdf, arXiv, doi)

[2023] (arXiv)
• A Range-relaxed criteria for choosing the Lagrange multipliers in Levenberg Marquardt Kaczmarz method for solving sistems of nonlinear ill-posed equations: Application to EIT-CEM with real data (with F.Filippozzi, E.Hafemann, J.Rabelo, F.Margotti),
  Journal of Inverse and Ill-Posed Problems 31 (2023), no. 2, 267-292 (Pdf, arXiv, doi)
• A regularization method based on level-sets for the problem of crack detection from electrical measurements (with A.DeCezaro, E.Hafemann, A.Osses),
  Inverse Problems 39 (2023), 035009 (Pdf, arXiv, doi)

[2022] (arXiv)
• Addendum: Rabelo et al 2022, Inverse Problems 38, 025003 (with J.Rabelo),
  Inverse Problems, 38 (2022), 059401 (Pdf, arXiv, doi)
• On stochastic Kaczmarz type methods for solving large scale systems of linear ill-posed equations (with J.Rabelo, Y.Saporito),
  Inverse Problems, 38 (2022), 025003 (Pdf, arXiv, doi)

[2021] (arXiv)
• Range-relaxed criteria for choosing the Lagrange multipliers in Levenberg-Marquardt method (with F.Margotti, B.F.Svaiter),
  IMA Journal of Numerical Analysis, 41 (2021), no. 4, 2962-2989 (Pdf, arXiv, doi)
• Range-relaxed criteria for choosing the Lagrange multipliers in iterated Tikhonov Kaczmarz type methods for solving systems of ill-posed operator equations (with R.Boiger, F.Filippozzi, J.Rabelo),
  Inverse Problems 37 (2021), 045005 (Pdf, arXiv, doi)

[2020] (arXiv)
• A Computational Approach for the inverse problem of neuronal conductances determination (with J.A.M.Valle, A.Madureira),
  Journal of Computational Neuroscience 48 (2020), no. 3, 281-297 (Pdf, arXiv, doi)
• On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces (with M.Machado, F.Margotti),
  Inverse Problems in Science and Engineering 28 (2020), no. 6, 796-826 (Pdf, arXiv, doi)
• Range-relaxed criteria for choosing the Lagrange multipliers in nonstationary iterated Tikhonov method (with R.Boiger, B.F.Svaiter),
  IMA Journal of Numerical Analysis 40 (2020), no. 1, 606-627 (Pdf, arXiv, doi)

[2018] (arXiv)
• On a family of gradient type projection methods for nonlinear ill-posed problems (with B.F.Svaiter),
  Numerical Functional Analysis and Optimization 39 (2018), no. 11, 1153-1180 (Pdf, arXiv, doi)
• A regularization method based on level sets and augmented Lagrangian for parameter identification problems with piecewise constant solutions (with J.P.Agnelli, A.DeCezaro),
  Inverse Problems 34 (2018), 125003 (Pdf, arXiv, doi)

[2017]
• On the identification of piecewise constant coefficients in optical diffusion tomography by level set (with J.P.Agnelli, M.M.Alves and A.DeCezaro),
  ESAIM: Control, Optimisation and Calculus of Variations 23 (2017), 663-683 (Pdf, arXiv, doi)

[2016]
• On projective Landweber-Kaczmarz methods for solving systems of nonlinear ill-posed equations (with B.F.Svaiter),
  Inverse Problems 32 (2016), no. 1, 025004 (Pdf, arXiv, doi)

[2014] (arXiv)
• A Kaczmarz version of the REGINN-Landweber iteration for ill-posed problems in Banach spaces (with F.Margotti and A.Rieder),
  SIAM Journal on Numerical Analysis 52 (2014), no. 3, 1439-1465 (Pdf, arXiv, doi)
• Convergence rates for Kaczmarz type regularization methods (with S.Kinderman),
  Inverse Problems and Imaging 8 (2014), no. 1, 149-172 (Pdf, arXiv, doi)

[2013] (arXiv)
• Corrigendum: Level-set approaches of L2-type for recovering shape and contrast in ill-posed problems (with A.DeCezaro),
  Inverse Problems in Science and Engineering 21 (2013), no. 4, 739-740 (Pdf, arXiv, doi)
• On piecewise constant level-set (PCLS) methods for the identication of discontinuous parameters in ill-posed problems (with A.DeCezaro and X.-C.Tai),
  Inverse Problems 29 (2013), no. 1, 015003 (Pdf, arXiv, doi)

[2012] (arXiv)
• On Landweber-Kaczmarz methods for regularizing systems of ill-posed equations in Banach spaces (with M.M.Alves),
  Inverse Problems 28 (2012), no. 10, 104008 (Pdf, arXiv, doi)
• Level-set approaches of L2-type for recovering shape and contrast in ill-posed problems (with A.DeCezaro),
  Inverse Problems in Science and Engineering 20 (2012), no. 4, 571-587 (Pdf, arXiv, doi)

[2011]
• Modified iterated Tikhonov methods for solving systems of nonlinear ill-posed equations, (with J.Baumeister and A.DeCezaro),
  Inverse Problems and Imaging 5 (2011), no. 1, 1-17 (Pdf, arXiv, doi)

[2010] (arXiv)
• On Levenberg-Marquardt-Kaczmarz iterative methods for solving systems of nonlinear ill-posed equations, (with B.Kaltenbacher and J.Baumeister),
  Inverse Problems and Imaging 4 (2010), no. 3, 335-350 (Pdf, arXiv, doi)
• Multiple level sets for piecewise constant surface reconstruction in highly ill-posed problems (with U.Ascher and K.van den Doel),
  Journal of Scientific Computing 43 (2010), no. 1, 44-66 (Pdf, arXiv, doi)

[2009] (arXiv)
• Efficient reconstruction methods for nonlinear elliptic Cauchy problems with piecewise constant solutions (with H.Egger),
  Advances in Applied Mathematics and Mechanics 1 (2009), no. 6, 729-749 (Pdf, arXiv, doi)
• Nonlinear regularization method for ill-posed problems with piecewise constant or strongly varying solutions (with H.Egger),
  Inverse Problems 25 (2009), no. 11, 115014 (Pdf, arXiv, doi)
• On regularization methods of EM-Kaczmarz type (with M.Haltmeier and E.Resmerita),
  Inverse Problems 25 (2009), no. 7, 075008 (Pdf, arXiv, doi)
• On Tikhonov functionals penalized by Bregman distances (with I.Bleyer),
  CUBO, A Mathematical Journal 11 (2009), no. 5, 99-115 (Pdf, arXiv)
• On multiple level-set regularization methods for inverse problems (with A.DeCezaro and X.-C.Tai),
  Inverse Problems 25 (2009), no. 3, 035004 (Pdf, arXiv, doi)

[2008]
• On Steepest-Descent-Kaczmarz methods for regularizing systems of nonlinear ill-posed equations (with A.DeCezaro, M.Haltmeier and O.Scherzer),
  Applied Mathematics and Computation 202 (2008), no. 2, 596-607 (Pdf, arXiv, doi)
• Iterative regularization methods for a discrete inverse problem in MRI (with J.Zubelli),
  CUBO, A Mathematical Journal 10 (2008), no. 2, 137-146 (Pdf, arXiv)

[2007]
• On level set type methods for elliptic Cauchy problems (with M.M.Alves)
  Inverse Problems 23 (2007), no. 5, 2207-2222 (Pdf, arXiv, doi)
• Regularization by dynamic programming (with S.Kindermann)
  Journal of Inverse and Ill-Posed Problems 15 (2007), no. 3, 295-310 (Pdf, arXiv, doi)
• On regularization methods based on dynamic programming techniques (with S.Kindermann)
  Applicable Analysis 86 (2007), no. 5, 611-632 (Pdf, arXiv, doi)
• Regularization of systems of nonlinear ill-posed equations: II. Applications (with M.Haltmaier, R.Kowar and O.Scherzer)
  Inverse Problems and Imaging 1 (2007), no. 3, 507-523 (Pdf, arXiv, doi)
• Regularization of systems of nonlinear ill-posed equations: I. Convergence Analysis (with M.Haltmaier and O.Scherzer)
  Inverse Problems and Imaging 1 (2007), no. 2, 289-298 (Pdf, arXiv, doi)
• On the value function for nonautonomous optimal control problems with infinite horizon (with J.Baumeister and G.N.Silva)
  Systems and Control Letters 56 (2007), no. 3, 188-196 (Pdf, arXiv, doi)

[2006]
• Semiconductors and DtN maps
  Computational and Applied Mathematics 25 (2006), no. 2-3, 187-203 (Pdf, arXiv, doi)
• Corrigendum: On the relation between constraint regularization, level sets and shape optimization 2003 Inverse Problems 19 L1-L11 (whith O. Scherzer)
  Inverse Problems 22 (2006), no. 4, 1507 (Pdf, doi)
• On inverse dopping profile problems for the stationary voltage-current map (with P.A.Markowich and J.P.Zubelli),
  Inverse Problems 22 (2006), no. 3, 1071-1088 (Pdf, arXiv, doi)
• On regularization methods for inverse problems of dynamic type (with S.Kindermann),
  Numerical Functional Analysis and Optimization 27 (2006), no. 2, 139-160 (Pdf, arXiv, doi)

[2005]
• Analysis of regularization methods for the solution of ill-posed problems involving discontinuous operators (with F.Frühauf and O.Scherzer),
  SIAM Journal on Numerical Analysis 43 (2005), no. 2, 767-786 (Pdf, arXiv, doi)

[2004]
• On inverse problems for semiconductor equations (with M.Burger, H.W.Engl and P.A.Markowich)
  Milan Journal of Mathematics 72 (2004), no. 1, 273-313 (Pdf, arXiv, doi)
• Optimal exploitation of renewable resource stocks: Necessary conditions (with J.Baumeister),
  Optimal Control Applications and Methods 25 (2004), no. 1, 19-50 (Pdf, arXiv, doi)

[2003]
• Mean value iterations for nonlinear elliptic Cauchy problems (with P.Kügler),
  Numerische Mathematik 96 (2003), no. 2, 269-293 (Pdf, arXiv, doi)
• On the relation between constraint regularization, level sets, and shape optimization (with O.Scherzer),
  Inverse Problems 19 (2003), no. 1, L1-L11 (Pdf, arXiv, doi)

[2002]
• Mean value methods for solving the heat equation backwards in time,
  Matemática Contemporânea 23 (2002), 35-48 (Pdf, arXiv, doi)

[2001]
• A Mann iterative regularization method for elliptic Cauchy problems (with H.W.Engl),
  Numerical Functional Analysis and Optimization 22 (2001), no. 7-8, 861-884 (Pdf, arXiv, doi)
• On iterative methods for solving ill-posed problems modeled by PDE's (with J.Baumeister),
  Journal of Inverse and Ill-Posed Problems 9 (2001), no. 1, 13-29 (Pdf, arXiv, doi)

[2000]
• On inverse problems modeled by PDE's,
  Matemática Contemporânea 18 (2000), 195-207 (Pdf, arXiv, doi)

• An iterative method for solving elliptic Cauchy problems,
  Numerical Functional Analysis and Optimization 21 (2000), no. 5-6, 715-742 (Pdf, arXiv, doi)

[1998]
• Applications of the Backus-Gilbert method to linear and some non linear equations,
  Inverse Problems 14 (1998), no. 5, 1285-1297 (Pdf, arXiv, doi)

Published contributions to academic conferences: (arXiv)

• On iterated Tikhonov Kaczmarz type methods for solving systems of linear ill-posed operator equations (with F.Filippozzi, J.Rabelo),
  In: Deterministic and Stochastic Optimal Control and Inverse Problems, Ed.: B.Jadamba et al., CRC Press, Boca Raton, 2021, 45-60 (Pdf, doi)

• On nonstationary iterated Tikhonov methods for ill-posed equation in Banach spaces (with F.Margotti and M.Machado),
  In: New Trends in Parameter Identification for Mathematical Models, Ed.: B.Hofmann et al., Birkhäuser, Basel, 2018, 175-193, (Pdf, arXiv, doi)

• Multiple level-sets for elliptic Cauchy problems in three dimensional domains (with M.M.Alves),
  Journal of Physics: Conference Series 255 (2010), 012005 (Pdf, arXiv, doi)

• On level-set type methods for recovering piecewise constant solutions of ill-posed problems (with A.DeCezaro and X.-C.Tai),
  Lecture Notes in Computer Science 5567 (2009), 50-62 (Pdf, arXiv, doi)

• New algorithms for parallel MRI (with S.Anzengruber, F.Bauer and R.Ramlau),
  Journal of Physics: Conference Series 135 (2008), 012009 (Pdf, arXiv, doi)

• Inverse Problems for Semiconductors: Models and Methods (with P.A.Markowich and J.P.Zubelli),
  In: Transport Phenomena and Kinetic Theory, Ed.: C.Cercignani and E.Gabetta, Birkhäuser, Boston, 2007, 117-149 (Pdf, arXiv, doi)

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Last update: Tuesday, 20-Aug-2024