Journals
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Christian Clason, Karl Kunisch:
Multi-bang control of elliptic systems,
submitted, 2013.
[ Matlab code | Python code ]
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Christian Clason, Barbara Kaltenbacher:
Avoiding degeneracy in the Westervelt equation by state constrained optimal control,
Evolution Equations and Control Theory 2 (2013), 281-300.
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Christian Clason, Barbara Kaltenbacher:
Optimal control of a singular PDE modeling transient MEMS with control or state constraints,
submitted, 2012.
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Patricia Brunner, Christian Clason, Manuel Freiberger, Hermann Scharfetter:
A deterministic approach to the adapted optode placement for illumination of highly scattering tissue,
Biomedical Optics Express 3 (2012), 1732-1743.
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Eduardo Casas, Christian Clason, Karl Kunisch:
Parabolic control problems in measure spaces with sparse solutions,
SIAM J. Control Optim. 51 (2013), 28-63.
[ Matlab code | Python code ]
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Christian Clason:
L-infinity fitting for inverse problems with uniform noise,
Inverse Problems 28 (2012), 104007.
[ Matlab code | Python code ]
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Christian Clason, Barbara Kaltenbacher:
On the use of state constraints in optimal control of singular PDEs,
Systems & Control Letters, 62 (2013), 48-54.
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Eduardo Casas, Christian Clason, Karl Kunisch:
Approximation of elliptic control problems in measure spaces with sparse solutions,
SIAM J. Control Optim. 50 (2012), 1735-1752.
[ Matlab code | Python code ]
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Christian Clason, Gregory von Winckel:
A general spectral method for the numerical simulation of one-dimensional interacting fermions,
Computer Physics Communications 183 (2011), 405-417,
Computer Physics Communications 183 (2012), 1843-1844 (new version announcement).
[ Matlab code | Python code ], published in the CPC Program Library.
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Christian Clason, Karl Kunisch:
A measure space approach to optimal source placement,
Computational Optimization and Applications 53 (2012), 155-171.
[ Matlab code ]
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Christian Clason, Kazufumi Ito, Karl Kunisch:
A minimum effort optimal control problem for elliptic PDEs,
ESAIM: Mathematical Modelling and Numerical Analysis 46 (2012), 911-927.
[ Matlab code ]
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Florian Knoll, Christian Clason, Kristian Bredies, Martin Uecker, Rudolf Stollberger:
Parallel imaging with nonlinear reconstruction using variational penalties,
Magnetic Resonance in Medicine 67 (2012), 34-41.
Selected for the Virtual Issue: Data Sampling and Image Reconstruction.
[ Matlab code ]
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Christian Clason, Bangti Jin:
A semi-smooth Newton method for nonlinear parameter identification problems with impulsive noise,
SIAM J. Imaging Sci. 5 (2012), 505-538.
[ Matlab code ]
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Christian Clason, Kazufumi Ito, Karl Kunisch:
Minimal invasion: An optimal L^infty state constraint problem,
ESAIM: Mathematical Modelling and Numerical Analysis 45 (2010), 505-522.
[ Matlab code ]
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Manuel Freiberger, Christian Clason, Hermann Scharfetter:
Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach,
Applied Optics 49 (2010), 3741-3747.
Selected for Virtual Journal for Biomedical Optics, Volume 5, Issue 11.
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Christian Clason, Bangti Jin, Karl Kunisch:
A duality-based splitting method for l1-TV image restoration with automatic regularization parameter choice,
SIAM J. Sci. Comp. 32 (2010), 1484-1505.
[ Matlab code ]
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Florian Knoll, Markus Unger, Christian Clason, Clemens Diwoky, Thomas Pock, Rudolf Stollberger:
Fast reduction of undersampling artifacts in radial MR angiography with 3D total variation on graphics hardware,
Magn Reson Mater Phy 23 (2010), 103-114.
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Christian Clason, Bangti Jin, Karl Kunisch:
A semismooth Newton method for L1 data fitting with automatic choice of regularization parameters and noise calibration,
SIAM J. Imaging Sci. 3 (2010), 199-231.
[ Matlab code ]
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Manuel Freiberger, Christian Clason, Hermann Scharfetter:
Adaptation and focusing of optode configurations for fluorescence optical tomography by experimental design methods,
Journal of Biomedical Optics 15 (2010), 016024.
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Florian Knoll, Christian Clason, Clemens Diwoky, Rudolf Stollberger:
Adapted random sampling patterns for accelerated MRI,
Magn Reson Mater Phy, 24 (2011), 43-50.
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Christian Clason, Karl Kunisch:
A duality-based approach to elliptic control problems in non-reflexive Banach spaces,
ESAIM: Control, Optimisation and Calculus of Variations, 17 (2011), 243-266.
[ Matlab code ]
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Christian Clason, Peter Hepperger:
A forward approach to numerical data assimilation,
SIAM J. Sci. Comp. 31 (2009), 3090-3115.
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Frank Bauer, Christian Clason:
On theoretical limits in parallel magnetic resonance imaging,
International Journal of Tomography & Statistics 18 (2011), 10-23.
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Stephen Keeling, Christian Clason, Michael Hintermüller, Florian Knoll, Antoine Laurain, Gregory von Winckel:
An image space approach to Cartesian based parallel MR imaging with total variation regularization,
Medical Image Analysis 16 (2012), 189-200.
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Christian Clason, Barbara Kaltenbacher, Slobodan Veljović:
Boundary optimal control of the Westervelt and the Kuznetsov equation,
J. Math. Anal. Appl. 356 (2009), 738-751.
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Christian Clason, Gregory von Winckel:
On a bilinear optimization problem in parallel magnetic resonance imaging,
Applied Mathematics and Computation 216 (2010), 1443-1452.
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Christian Clason, Michael Klibanov:
The quasi-reversibility method for thermoacoustic tomography in a heterogeneous medium,
SIAM J. Sci. Comp. 30 (2007), 1-23.
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Larisa Beilina, Christian Clason:
An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy,
SIAM J. Sci. Comp. 28 (2006), 382-402.
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Christian Clason, Andreas M. Hinz, Heinrich Schieferstein:
A method for material parameter determination for the human mandible based on simulation and experiment,
Comput. Methods Biomech. Biomed. Engin. 7 (2004), 265-276.
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Proceedings
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Christian Clason:
Parameter identification problems with non-Gaussian noise.
in: Habib Ammari, Liliana Borcea, Thorsten Hohage, Barbara Kaltenbacher (eds.), Computational Inverse Problems,
Oberwolfach Report (2013), to appear.
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Florian Knoll, Christian Clason, Kristian Bredies, Martin Uecker, Rudolf Stollberger:
Parallel Imaging with Nonlinear Reconstruction Using Variational Penalties,
Proceedings of the 19th Scientific Meeting and Exhibition of ISMRM, Montréal, Canada, 7-13 May 2011; oral presentation.
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Markus Kraiger, Florian Knoll, Christian Clason, Rudolf Stollberger:
Assessment of Iterative Regularized Parallel Imaging Reconstruction for Quantitative Magnetic Resonance Imaging,
Proceedings of the 44th Annual Meeting of the German-Austrian-Swiss Society for Biomedical Engineering, Rostock, Germany, 5-8 October, 2010,
Biomed Tech 55:s1 (2010), 234-237.
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Christian Clason, Barbara Kaltenbacher, Irena Lasiecka, Slobodan Veljović:
Optimal boundary control for equations of nonlinear acoustics,
15th International Conference on Methods and Models in Automation and Robotics (MMAR), Miedzyzdroje, Poland, 23-26 August, 2010.
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Florian Knoll, Christian Clason, Rudolf Stollberger:
Tailored 3D Random Sampling Patterns for Nonlinear Parallel Imaging,
Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010.
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Florian Knoll, Christian Clason, Manuela Aschauer, Franz Ebner, Rudolf Stollberger:
Adapted Random 3D Sampling Patterns for CE-MRA,
Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010.
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Markus Kraiger, Florian Knoll, Christian Clason, Rudolf Stollberger:
Quantification of Transversal Relaxation Time T2 using an Iterative Regularized Parallel Imaging Reconstruction,
Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010.
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Gerald Buchgraber, Florian Knoll, Manuel Freiberger, Christian Clason, Markus Grabner, Rudolf Stollberger:
Fast Regridding using LSQR on Graphics Hardware,
Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010.
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Florian Knoll, Christian Clason, Franz Ebner, Manuela Aschauer, Rudolf Stollberger:
CE-MRA with tailored 3D random sampling patterns and nonlinear parallel imaging reconstruction,
21th Annual International Conference on Magnetic Resonance Angiography, East Lansing, Michigan, USA, 29 September-1 October 2009.
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Florian Knoll, Christian Clason, Martin Uecker, Rudolf Stollberger:
Improved Reconstruction in non Cartesian Parallel Imaging by Regularized Nonlinear Inversion,
Proceedings of the 17th Scientific Meeting and Exhibition of ISMRM, Honolulu, Hawaii, USA, 18-24 April 2009.
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Ruxandra Lasowski, Selim Benhimane, Jakob Vogel, Christian Clason, Tobias F. Jakobs, Christoph J. Zech, Christoph Trumm, Nassir Navab:
Adaptive visualization for needle guidance in RF Liver Ablation: taking organ deformation into account,
SPIE Medical Imaging, San Diego, California, USA, 16-21 February 2008.
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Larisa Beilina, Christian Clason:
An inverse medium problem for scanning acoustic microscopy,
PAMM 5 (2005), 647-648.
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Andreas Hinz, Christian Clason:
Quantitative sonography for bone material,
ESAIM Proc. 12 (2002), 73-74.
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Christian Clason, Andreas Hinz:
Simulation of the Elastic Behaviour of the Human Mandible: Experimental Validation and Material Parameter Identification,
ESAIM Proc. 12 (2002), 31-33.
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Heinrich Schieferstein et al.:
Structure Analysis of the Human Mandible -- Experimental Study and Numerical Simulation,
1st International Congress on Mastication and Health, Yokohama, September 15-18, 2002.
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Heinrich Schieferstein et al.:
Experimental study and numerical simulation of the mechanical behaviour of the human mandible,
Proceedings of the XVIIIth Congress of the International Society of Biomechanics, Zürich, 2001.
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Others
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Karl Kunisch, Kristian Bredies, Christian Clason, Gregory von Winckel (eds.):
Control and Optimization with PDE Constraints,
volume 164 of International Series of Numerical Mathematics, Birkhäuser, Basel, 2013.
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Christian Clason, Maxim Shishlenin:
Recent advances in analytical and numerical methods in inverse problems for PDEs (minisymposium report),
J. Inverse Ill-posed Problems 18 (2011), 955-958.
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Christian Clason, Andreas Hinz:
From bits to bites: mathematical simulations for cranio-maxillofacial surgery,
in Bubbles, Jaws, Moose Tests, and More: The Wonderful World of Numerical Simulation, Bungartz, Hans-Joachim; Mundani, Ralf-Peter; Frank, Anton Christian (Ed.), Springer VideoMATH, 2005.
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