Preprints:
- On piecewise constant level-set (PCLS) methods for the identication of
discontinuous parameters in ill-posed problems (with A.DeCezaro and X.-C.Tai),
submitted,
(Pdf)
- On regularization methods of level set type for crack detection in planar regions
(with O.Dorn),
in preparation
- On regularization methods for optical tomography with piecewise constant coefficients
(with A.DeCezaro),
in preparation
Articles published in indexed journals:
[2011]
- Level-set approaches of L2-type for recovering shape and
contrast in inverse problems (with A.DeCezaro),
Inverse Problems in Science and Engineering 19 (2011), to appear
(Pdf,
doi)
- 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,
doi)
[2010]
- 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,
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,
doi)
[2009]
- 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,
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,
doi)
- On regularization methods of EM-Kaczmarz type
(with M.Haltmeier and E.Resmerita),
Inverse Problems 25 (2009), no. 7, 075008
(Pdf,
doi)
- On Tikhonov functionals penalized by Bregman distances (with I.Bleyer),
CUBO, A Mathematical Journal
11 (2009), no. 5, 99-115
(Pdf)
- On multiple level-set regularization methods for inverse
problems (with A.DeCezaro and X.-C.Tai),
Inverse Problems 25 (2009), no. 3, 035004
(Pdf,
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,
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)
[2007]
- On level set type methods for elliptic Cauchy problems
(with M.M.Alves)
Inverse Problems 23 (2007), no. 5, 2207-2222
(Pdf,
doi)
- Regularization by dynamic programming (with S.Kindermann)
Journal of Inverse and Ill-Posed Problems 15 (2007), no. 3, 295-310
(Pdf,
doi)
- On regularization methods based on dynamic programming techniques
(with S.Kindermann)
Applicable Analysis 86 (2007), no. 5, 611-632
(Pdf,
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)
- 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)
- 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,
doi)
[2006]
- Semiconductors and DtN maps
Computational and Applied Mathematics 25 (2006), no. 2-3, 187-203
(Pdf,
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,
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,
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,
doi)
[2004]
- On inverse problems for semiconductor equations
(with M.Burger, H.W.Engl and P.Markowich)
Milan Journal of Mathematics 72 (2004), 273-313
(Pdf,
doi)
- Optimal exploitation of renewable resource stocks: Necessary
conditions (with J.Baumeister),
Optimal Control Applications and Methods 25 (2004), no. 1, 19-50
(Pdf,
doi)
[2003]
- Mean value iterations for nonlinear elliptic Cauchy problems
(with P.Kügler),
Numerische Mathematik 96 (2003), no. 2, 269-293
(Pdf,
doi)
- On the relation between constraint regularization, level sets,
and shape optimization (with O.Scherzer),
Inverse Problems 19 (2003), no. 1, L1-L11
(Pdf,
doi)
[2002]
- Mean value methods for solving the heat equation backwards in
time,
Matemática Contemporânea
23 (2002), 35-47
(Pdf)
[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,
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)
[2000]
- On inverse problems modeled by PDE's,
Matemática Contemporânea
18 (2000), 195-207
(Pdf)
- An iterative method for solving elliptic Cauchy problems,
Numerical Functional Analysis and Optimization 21 (2000), no. 5-6, 715-742
(Pdf,
doi)
[1998]
- Applications of the Backus-Gilbert method to linear
and some non linear equations,
Inverse Problems 14 (1998), no. 5, 1285-1297
(Pdf,
doi)
Published contributions to academic conferences:
- Multiple level-sets for elliptic Cauchy problems in three dimensional domains
(with M.M.Alves),
Journal of Physics: Conference Series 255 (2010), 012005
(Pdf,
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,
doi)
- New algorithms for parallel MRI (with S.Anzengruber, F.Bauer
and R.Ramlau),
Journal of Physics: Conference Series 135 (2008), 012009
(Pdf,
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,
doi)
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Last update: Wednesday, 14-December-2011