Papers on numerics of inverse boundary value problems
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T. Helin, N. Hyvönen, J. Maaninen, and J.-P. Puska, Bayesian design of measurements for magnetorelaxometry imaging, submitted.
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J. Toivanen, A. Paldanius, B. Dekdouk, V. Candiani, A. Hänninen, T. Savolainen, D. Strbian, N. Forss, N. Hyvönen, J. Hyttinen, and V. Kolehmainen, An algorithm for detection and monitoring of intracerebral hemorrhages using EIT, submitted.
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H. Garde, N. Hyvönen, and T. Kuutela, Series reversion for practical electrical impedance tomography with modeling errors, Inverse Problems, 39, 085007 (2023).
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P. Hirvi, T. Kuutela, Q. Fang, A. Hannukainen, N. Hyvönen, and I. Nissilä, Effects of atlas-based anatomy on modelled light transport in the neonatal head, Physics in Medicine & Biology, 68, 135019 (2023).
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T. Helin, N. Hyvönen, and J.-P. Puska, Edge-promoting adaptive Bayesian experimental design for X-ray imaging, SIAM Journal on Scientific Computing, 44, B506-B530 (2022).
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J. Dardé, N. Hyvönen, T. Kuutela, and T. Valkonen, Contact adapting electrode model for electrical impedance tomography, SIAM Journal on Applied Mathematics, 82, 427-449 (2022).
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V. Candiani, N. Hyvönen, J. Kaipio, and V. Kolehmainen, Approximation error method for imaging the human head by electrical impedance tomography, Inverse Problems, 37, 125008 (2021).
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M. Burger, A. Hauptmann, T. Helin, N. Hyvönen, and J.-P. Puska, Sequentially optimized projections in X-ray imaging, Inverse Problems, 37, 075006 (2021).
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A. Hannukainen, N. Hyvönen, and L. Perkkiö, Inverse heat source problem and experimental design for determining iron loss distribution, SIAM Journal on Scientific Computing, 43, B243-B270 (2021).
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V. Candiani, A. Hannukainen, and N. Hyvönen,
Computational framework for applying electrical impedance tomography to head imaging, SIAM Journal on Scientific Computing, 41, B1034-B1060 (2019).
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A. Hannukainen, N. Hyvönen, and L. Mustonen,
An inverse boundary value problem for the p-Laplacian: a linearization approach, Inverse Problems, 35, 034001 (2019).
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N. Hyvönen and L. Mustonen,
Thermal tomography with unknown boundary, SIAM Journal on Scientific Computing, 40, B663-B683 (2018).
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N. Hyvönen and L. Mustonen,
Generalized linearization techniques in electrical impedance tomography, Numerische Mathematik, 140, 95-120 (2018).
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N. Hyvönen, L. Päivärinta, and J. Tamminen,
Enhancing D-bar reconstructions for electrical impedance tomography with conformal maps, Inverse Problems and Imaging, 12, 373-400 (2018).
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N. Hyvönen and L. Mustonen,
Smoothened complete electrode model, SIAM Journal on Applied Mathematics, 77, 2250-2271 (2017).
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A. Barth, B. Harrach, N. Hyvönen, and L. Mustonen,
Detecting stochastic inclusions in electrical impedance tomography, Inverse Problems, 33, 115012 (2017).
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N. Hyvönen, H. Majander, and S. Staboulis,
Compensation for geometric modeling errors by positioning of electrodes in electrical impedance tomography, Inverse Problems, 33, 035006 (2017).
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N. Hyvönen, V. Kaarnioja, L. Mustonen, and S. Staboulis,
Polynomial collocation for handling an inaccurately known measurement configuration in electrical impedance tomography, SIAM Journal on Applied Mathematics, 77, 202-223 (2017).
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A. Hannukainen, N. Hyvönen, H. Majander, and T. Tarvainen,
Efficient inclusion of total variation type priors in quantitative photoacoustic tomography, SIAM Journal on Imaging Sciences, 9, 1132-1153 (2016).
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A. Hannukainen, L. Harhanen, N. Hyvönen, and H. Majander,
Edge-promoting reconstruction of absorption and diffusivity in optical tomography, Inverse Problems, 32, 015008 (2016).
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N. Hyvönen and M. Leinonen,
Stochastic Galerkin finite element method with local conductivity basis for electrical impedance tomography, SIAM/ASA Journal on Uncertainty Quantification, 3, 998-1019 (2015).
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L. Chesnel, N. Hyvönen, and S. Staboulis,
Construction of invisible conductivity perturbations for the point electrode model in electrical impedance tomography, SIAM Journal on Applied Mathematics, 75, 2093-2109 (2015).
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L. Harhanen, N. Hyvönen, H. Majander, and S. Staboulis,
Edge-enhancing reconstruction algorithm for three-dimensional electrical impedance tomography, SIAM Journal on Scientific Computing, 37, B60-B78 (2015).
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N. Hyvönen, A. Seppänen, and S. Staboulis,
Optimizing electrode positions in electrical impedance tomography, SIAM Journal on Applied Mathematics, 74, 1831-1851 (2014).
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H. Hakula, and N. Hyvönen and M. Leinonen,
Reconstruction algorithm based on stochastic Galerkin finite element method for electrical
impedance tomography, Inverse Problems, 30, 065006 (2014).
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J. Dardé, A. Hannukainen, and N. Hyvönen,
An Hdiv-based mixed quasi-reversibility method for solving elliptic Cauchy problems,
SIAM Journal on Numerical Analysis, 51, 2123-2148 (2013).
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J. Dardé, N. Hyvönen, A. Seppänen, and S. Staboulis,
Simultaneous recovery of admittivity
and body shape in electrical impedance tomography: An experimental
evaluation, Inverse Problems, 29, 085004 (2013).
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J. Dardé, N. Hyvönen, A. Seppänen, and S. Staboulis,
Simultaneous reconstruction of outer boundary shape and
admittivity distribution in electrical impedance tomography, SIAM Journal on Imaging Sciences, 6, 176-198 (2013).
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N. Hyvönen and O. Seiskari,
Detection of multiple inclusions from sweep
data of electrical impedance tomography, Inverse Problems, 28, 095014 (2012).
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J. Dardé, H. Hakula, N. Hyvönen, and S. Staboulis,
Fine-tuning electrode information in electrical impedance tomography, Inverse Problems and Imaging, 6, 399-421 (2012).
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M. Hanke, L. Harhanen, N. Hyvönen, and E. Schweickert,
Convex source support in three dimensions,
BIT Numerical Mathematics, 52, 45-63 (2012).
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R. Griesmaier and N. Hyvönen,
A regularized Newton method for
locating thin tubular conductivity inhomogeneities,
Inverse Problems, 27, 115008 (2011).
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H. M. Varma, K. P. Mohanan, N. Hyvönen, A. K. Nandakumaran, and R. M.
Vasu,
Ultrasound-modulated optical tomography: Recovery of amplitude of
vibration in the insonified region from
boundary measurement of light correlation, Journal
of the Optical Society of America A, 28, 2322-2331 (2011).
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H. Hakula, L. Harhanen, and N. Hyvönen,
Sweep data of electr$
tomography, Inverse Problems, 27, 115006 (2011).
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M. Hanke, N. Hyvönen, and S. Reusswig,
Convex backscattering support in electric
impedance tomography, Numerische Mathematik,
117, 373-396 (2011).
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L. Harhanen and N. Hyvönen, Convex source support in half-plane,
Inverse Problems and Imaging, 4, 429-448 (2010).
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N. Hyvönen, K. Karhunen, and A. Seppänen, Frechet derivative with respect to the
shape of an internal electrode in electrical impedance
tomography, SIAM Journal on Applied Mathematics,
70, 1878-1898 (2010).
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N. Hyvönen, Comparison of
idealized and electrode Dirichlet-to-Neumann maps in electric impedance
tomography with an application to boundary determination of
conductivity, Inverse Problems, 25, 085008
(2009).
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H. Hakula and N. Hyvönen, On computation
of test dipoles
for factorization method,
BIT Numerical Mathematics, 49, 75-91 (2009).
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M. Hanke, N. Hyvönen, and S. Reusswig, Convex
source support and its application to
electric impedance tomography, SIAM Journal
on Imaging Sciences, 1, 364-378 (2008).
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H. Hakula and N. Hyvönen, Two noniterative
algorithms
for locating inclusions using one electrode
measurement of electric impedance tomography, Inverse
Problems, 24, 055018 (2008).
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B. Gebauer and N. Hyvönen,
Factorization method and inclusions of mixed type in
an inverse elliptic boundary value problem, Inverse Problems and
Imaging, 2, 355-372 (2008).
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M. Hanke, N. Hyvönen, M. Lehn, and S. Reusswig,
Source
supports in electrostatics,
BIT Numerical Mathematics, 48, 245-264
(2008).
- A. Lechleiter, N. Hyvönen, and H. Hakula, The factorization method
applied to the complete electrode model of impedance
tomography, SIAM Journal on Applied
Mathematics, 68, 1097-1121 (2008).
- N. Hyvönen,
Frechet derivative with respect to the shape of a strongly convex
nonscattering region in optical tomography, Inverse
Problems 23, 2249-2270 (2007). (IOP SELECT)
- B. Gebauer and N. Hyvönen,
Factorization method and irregular inclusions in electrical impedance
tomography, Inverse Problems 23, 2159-2170 (2007).
- N. Hyvönen, Locating transparent
regions in optical absorption
and scattering tomography, SIAM Journal on Applied Mathematics
67, 1101-1123 (2007).
- N. Hyvönen, H. Hakula, and S. Pursiainen, Numerical implementation of the factorization method
within the complete electrode model of electrical impedance
tomography, Inverse Problems and Imaging 1, 299-317 (2007).