Office
Department
of Mathematics
Federal
University of Santa Catarina
88040-900 Florianopolis, SC
Brazil
Email:
fermin@mtm.ufsc.br
URL:
http://www.mtm.ufsc.br/~fermin
Phone: +51 48-331.9221
Fax: +51 48-331.9221
Research
Interests
Publications,
Technical Reports, etc
-
Refereed
Papers
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J.
B. Francisco, D. S. Gonçalves, F. S. V. Bazán and L. L. T.
Paredes,
Non-monotone
inexact restoration method for nonlinear programming,
Computational
Optimization and Applications, September 2019,
DOI:10.1007/s10589-019-00129-2
-
F.
S. V. Bazán and Luciano Bedin, Filtered
spectral differentiation method for numerical differentiation of
periodic functions with application to heat flux estimation,
Computational
& Applied Mathematics 38(4), December 2019,
DOI:
10.1007/s40314-019-0968-4
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L.
Bedin, F. S. V. Bazán and F. T. Giordani, Analysis
and spline approximation of surface charge and potential at
planar electrochemical interfaces, Mathematical
Methods in the Applied Sciences, July 2019, DOI:
10.1002/mma.5753
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F.
S. V. Bazán, Luciano Bedin and Fabio Bozzoli,
New Methods for numerical estimation of convective heat transfer
in circular ducts, International
Journal of Thermal Sciences, 139:387-402 · February
2019, DOI:
10.1016/j.ijthermalsci.2019.02.025
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F.
Bozzoli, L. Cattani, A. Mocerino, S. Rainieri and F. S. V.
Bazán, A
novel method for estimating the distribution of convective heat
flux in ducts: Gaussian filtered singular value decomposition,
Inverse
problems in Science and Engineering 27(11):1-13 · November
2018, DOI: 10.1080/17415977.2018.1540615
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F.
S. V. Bazán and J. R. Quiroz, Galerkin
approach for estimating boundary data in Poisson equation on
annular domain with application to heat transfer coefficient
estimation in coiled tubes, Numerical
Algorithms 81(1) May 2018,
DOI:
10.1007/s11075-018-0536-9
-
L.
Bedin, F. S. V. Bazán and J. R. Quiroz, Method
for recovering boundary data in a two-dimensional Poisson
equation on annular domain, Journal
of Computational and Applied Mathematics 2018,
DOI:
10.1016/j.cam.2018.03.016.
-
M.
I. Ismailov, F. S. V. Bazán and L. Bedin, Time-dependent
perfusion coefficient estimation in a bioheat transfer problem,
Computer
Physics Communications, 230, April 2018, DOI:
10.1016/j.cpc.2018.04.019
-
L.
S. Borges, F. S. V. Bazán and L. Bedin,
A projection-based
algorithm for ℓ 2 - ℓ p Tikhonov regularization,
Math. Methods in the Applied Sciences, June 2018, DOI:
10.1002/mma.5110
-
F.
S. V. Bazán and E. Boos, Schultz
matrix iteration based method for stable solution of discrete
ill-posed problems, Linear
Algebra and Its Applications 554, 2018,DOI:
10.1016/j.laa.2018.05.022
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J.
B. Francisco, F. S. V. Bazán and M. Weber Mendonça,
Non-monotone
algorithm for minimization on arbitrary domains with
applications to large-scale orthogonal Procrustes problem,
Appl.
Num. Math., 112 (2017), 51-64. (pdf-file)
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F.
S. V. Bazán and L. Bedin, Identification
of heat transfer coefficient trough linearization: explicit
solution and approximation, Inverse
Problems 33(2017), DOI,
https://doi.org/10.1088/1361-6420/aa97c1
-
F.
S. V. Bazán, L. Bedin and L. S. Borges, Space-dependent
perfusion coefficient estimation in a 2D bioheat transfer
problem, Computer
Physics Communicactions, DOI, 10.1016/j.cpc.2017.01.002
(2017).
(pdf-file)
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F.
S. V. Bazán, J. B. Francisco, Koung Hee Leem, G. Pelekanos and
V. Sevroglou, A
numerical reconstruction method in inverse elastic scattering.
To
appear in Inv. Prob. Sc. Eng., 2017. (pdf-file)
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F.
Bozzoli, L. Cattani, S. Rainieri, F. S. V. Bazán and L. S.
Borges, Estimation
of the local heat transfer coefficient in coiled
tubes:Comparison between Tikhonov regularization method and
Gaussian Filtering Technique.
To
appear in Int. J. of Num. Meth. for Heat and Fluid Flow., 2017.
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F.
S. Viloche Bazán, Andreas Kleefeld, Koung Hee Leem, and G.
Pelekanos, Sampling
method based projection approach for the reconstruction of 3D
acoustical penetrable scatters,
Lin.
Alg. Appl., 495 (2016), 289-323. (pdf-file)
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L.
Bedin and F. S. Viloche Bazán, A
note on existence and uniqueness for a 2D bioheat problem,
Appl. Anal., (2016), DOI, 10.10.1080/00036811.2016.1148138.
(pdf-file)
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F.
S. Viloche Bazán, L. Bedin and , F. Bozzoli, Numerical
estimation of convective heat transfer coefficient through
linearization,
Int. J. Heat and Mass Transfer, (2016), 1230-1244. (pdf-file)
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F.
S. Viloche Bazán, J. B. Francisco, Koung Hee Leem, and G.
Pelekanos, Using
the linear sampling method and an improved maximum product
criterion for the solution of the electromagnetic inverse medium
problem, Journal
of Computational and Applied Mathematics v. 273, p. 61-75, 2015.
(pdf-file)
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F.
S. Viloche Bazán, Simple
and efficient determination of the Tikhonov regularization
parameter chosen by the generalized discrepancy principle for
discrete ill-posed problems, Journal
of Scientific Computing, DOI 10.1007/s10915-014-9888-z, 63(1),
163-184, 2015. (pdf-file)
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F.
Bozzoli, L. Catani, S. Rainieri, F. S. V. Bazán and and L. S.
Borges, Estimation
of the local heat-transfer coefficient in the laminar flow
regime in coiled tubes by the Tikhonov regularisation method,
International
Journal of Heat and Mass Transfer, v. 72, p. 352-361, 2014.
(pdf-file)
-
L.
Bedin and F. S. Viloche Bazán, On
the 2D bioheat equation with convective boundary conditions and
its numerical realization via a highly accurate approach,
Applied
Mathematics and Computation v. 236, p. 422-436, 2014. (pdf)
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L.
S. Borges, F. S. Viloche Bazán and M. C. Cunha, Automatic
stopping rule for iterative methods in discrete ill-posed
problems,
Comp. Appl. Math., DOI 10.1007/s40314-014-0174-3, 2014.
(pdf-file)
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F.
S. Viloche Bazán, M. C. Cunha and L. S. Borges, Extension
of GKB-FP algorithm to large-scale general-form Tikhonov
regularization,
Numerical Linear Alg. With Appl. (2013),
(pdf-file)
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J.
B. Francisco and F. S. Viloche Bazán, Nonmonotone algorithm
for minimization on closed sets with application to minimization
on Stiefel manifolds, J. Comp. and Appl. Math.,
236(10), 2717-2727, 2012 (pdf-file)
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F.
S. Viloche Bazán, J. B. Francisco, K. H.
Leem and G. Pelekanos, Maximum product criterion as a
Tikhonov choice-rule for Kirsch's factorization sampling method,
J. Comp. and Appl. Math., 236, 4264-4275, 2012. (pdf-file)
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F.
S. Viloche Bazán, L, S. Borges and J.
B. Francisco, On a generlization of Regińska's parameter
choice rule and its numerical realization in large-scale
multi-parameter Tikhonov regularization, Applied
Mathematics and Computation,Volume 219, Issue 4, 1 November
2012, Pages 2100-2113 (pdf-file)
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Zibetti,
Marcelo V.W. ; Bazán, Fermín S.V. ; Mayer, Joceli . Estimation
of the parameters in regularized simultaneous super-resolution.
Pattern Recognition Letters, v. 32, p. 69-78, 2011.
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F.
S. Viloche Bazán and L. S. Borges, GKB-FP:an
algorithm for large-scale discrete ill-posed problems. BIT,
DOI 10.1007/s10543-010-0275-3, 2010 (pdf-file)
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Bazán,
Fermín S. Viloche . Chebyshev pseudospectral method for wave
equation eith absorbing boundary conditions that does not use a
first order hyberbolic system. Mathematics and Computers in
Simulation (Print), v. 80, p. 2124-2133, 2010. (pdf-file)
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Bazán,
Fermín S. Viloche ; K. H. Leem ; G. Pelekanos . Fixed-point
iterations in determining a Tikhonov regularization parameter in
Kirsch's factorization metho. Applied Mathematics and
Computation, v. 216, p. 3747-3753, 2010. (pdf-file)
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Viloche
Bazan, Fermin S. ; Leem, Koung Hee ; Pelekanos, George . An
Application of a Fixed Point Iteration Method to Object
Reconstruction. PIERS Online, v. 6, p. 227-231, 2010.
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Oliverira,
J., Bazán, F. S. V. . Poisson approach for evaluating
numerical methods for the two-dimensional wave equation
constrained to absorbing boundary conditions. Applied
Mathematics and Computation, v. 209, p. 273-284, 2010.
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Bazán,
F. S. V. ; Francisco, J. B. An improved fixed-point algorithm
for determining a Tikhonov regularization parameter. Inverse
Problems, v. 25, p. 045007, 2009. (pdf-file)
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Bazán, F. S. V.,.
Fixed-Point iterations in determining the Tikhonov
regularization parameter. Inverse Problems, v. 24, p.
035001-035001, 2008. (pdf-file)
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