Christian Clason

Prof. Dr. Christian Clason

Mathematik / Campus Essen
Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-N-4.36
Telefon
+49 201 183 6382
Telefax
+49 201 183 7420
E-Mail
christian.clason@uni-due.de
Webseite
https://www.uni-due.de/mathematik/agclason/clason.php

Funktionen

  • Professor/in, Mathematik
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Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Clason, Christian; Mazurenko, Stanislav; Valkonen, Tuomo
    Acceleration and global convergence of a first-order primal-dual method for nonconvex problems
    In: SIAM Journal on Optimization Jg. 29 (2019) Nr. 1, S. 933 - 963
    ISSN: 1052-6234; 1095-7189
    Online Volltext: dx.doi.org/
  • Clason, Christian; Nhu, Vu Huu
    Bouligand–Landweber iteration for a non-smooth ill-posed problem
    In: Numerische Mathematik Jg. 142 (2019) Nr. 4, S. 789 - 832
    ISSN: 0029-599X; 0945-3245
    Online Volltext: dx.doi.org/
  • Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane
    Contingent derivatives and regularization for noncoercive inverse problems
    In: Optimization: A Journal of Mathematical Programming and Operations Research Jg. 68 (2019) Nr. 7, S. 1337 - 1364
    ISSN: 1029-4945; 0233-1934; 0323-3898
    Online Volltext: dx.doi.org/
  • Clason, Christian; Helin, Tapio; Kretschmann, Remo; Piiroinen, Petteri
    Generalized modes in Bayesian inverse problems
    In: SIAM-ASA Journal on Uncertainty Quantification Jg. 7 (2019) Nr. 2, S. 652 - 684
    ISSN: 2166-2525
    Online Volltext: dx.doi.org/
  • Clason, Christian; Deng, Yu; Mehlitz, Patrick; Prüfert, Uwe
    Optimal control problems with control complementarity constraints : existence results, optimality conditions, and a penalty method
    In: Optimization methods & software (2019)
    ISSN: 1055-6788; 1029-4937
    Online Volltext: dx.doi.org/ Online Volltext
  • Clason, Christian
    Optimierung mit „Knick“ : Nichtglatte Optimierung in der Bildverarbeitung
    In: Unikate: Berichte aus Forschung und Lehre (2019) Nr. Heft 53: Mathematik - Herausforderung des Nichtlinearen, S. 61 - 68
    ISBN: 978-3-934359-53-6 ISSN: 0944-6060; 1869-3881
    Online Volltext: dx.doi.org/ Online Volltext
  • Clason, Christian; Do, Tram; Pörner, Frank
    Error estimates for the approximation of multibang control problems
    In: Computational Optimization and Applications (2018)
    ISSN: 1573-2894; 0926-6003
    Online Volltext: dx.doi.org/
  • Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
    Optimal control of a non-smooth semilinear elliptic equation
    In: Mathematical Control and Related Fields Jg. 8 (2018) Nr. 1, S. 247 - 276
    ISSN: 2156-8472; 2156-8499
    Online Volltext: dx.doi.org/
  • Clason, Christian; Klassen, Andrej
    Quasi-solution of linear inverse problems in non-reflexive Banach spaces
    In: Journal of Inverse and Ill-Posed Problems Jg. 26 (2018) Nr. 5,
    ISSN: 1569-3945
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kruse, Florian; Kunisch, Karl
    Total variation regularization of multi-material topology optimization
    In: ESAIM: Mathematical Modelling and Numerical Analysis Jg. 52 (2018) Nr. 1, S. 275 - 303
    ISSN: 1290-3841; 0764-583X
    Online Volltext: dx.doi.org/
  • Clason, Christian; Tameling, Carla; Wirth, Benedikt
    Vector-valued multibang control of differential equations
    In: SIAM Journal on Control and Optimization Jg. 56 (2018) Nr. 3, S. 2295 - 2326
    ISSN: 0363-0129
    Online Volltext: dx.doi.org/
  • Barnard, Richard C.; Clason, Christian
    L1 penalization of volumetric dose objectives in optimal control of PDEs
    In: Computational optimization and applications Jg. 67 (2017) Nr. 2, S. 401 - 419
    ISSN: 0926-6003; 1573-2894
    Online Volltext: dx.doi.org/
  • Clason, Christian; Rund, Armin; Kunisch, Karl
    Nonconvex penalization of switching control of partial differential equations
    In: Systems and Control Letters Jg. 106 (2017) S. 1 - 8
    ISSN: 1872-7956
    Online Volltext: dx.doi.org/
  • Clason, Christian; Schiela, Anton
    Optimal control of elliptic equations with positive measures
    In: ESAIM: Control, Optimisation and Calculus of Variations Jg. 23 (2017) Nr. 1, S. 217 - 240
    ISSN: 1262-3377; 1292-8119
    Online Volltext: dx.doi.org/
  • Clason, Christian; Valkonen, Tuomo
    Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization
    In: SIAM Journal on Optimization Jg. 27 (2017) Nr. 3, S. 1314 - 1339
    ISSN: 1095-7189; 1052-6234
    Online Volltext: dx.doi.org/
  • Clason, Christian; Valkonen, Tuomo
    Stability of Saddle Points Via Explicit Coderivatives of Pointwise Subdifferentials
    In: Set-Valued and Variational Analysis: Theory and Applications Jg. 25 (2017) Nr. 1, S. 69 - 112
    ISSN: 1877-0541; 1877-0533
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kunisch, Karl
    A convex analysis approach to multi-material topology optimization
    In: Mathematical modelling and numerical analysis Jg. 50 (2016) Nr. 6, S. 1917 - 1936
    ISSN: 1290-3841
    Online Volltext: dx.doi.org/
  • Clason, Christian; Ito, Kazufumi; Kunisch, Karl
    A convex analysis approach to optimal controls with switching structure for partial differential equations
    In: Control, optimisation and calculus of variations Jg. 22 (2016) Nr. 2, S. 581 - 609
    ISSN: 1262-3377
    Online Volltext: dx.doi.org/
  • Clason, Christian; Rund, Armin; Kunisch, Karl; Barnard, Richard C.
    A convex penalty for switching control of partial differential equations
    In: Systems & control letters Jg. 89 (2016) S. 66 - 73
    ISSN: 1872-7956
    Online Volltext: dx.doi.org/
  • Aigner, Christoph; Petrovic, Andreas; Rund, Armin; Clason, Christian; Stollberger, Rudolf
    Design of complex RF pulse shapes for asymmetric excitation patterns via optimal control
    In: Biomedical engineering = Biomedizinische Technik Jg. 61 (2016) Nr. S1, S. 140
    ISSN: 0013-5585; 1862-278X
    Online Volltext: dx.doi.org/
  • Aigner, Christoph Stefan; Clason, Christian; Stollberger, Rudolf; Rund, Armin
    Efficient high-resolution RF pulse design applied to simultaneous multi-slice excitation
    In: Journal of Magnetic Resonance (JMR) Jg. 263 (2016) S. 33 - 44
    ISSN: 1096-0856; 1090-7807
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kaltenbacher, Barbara; Wachsmuth, Daniel
    Functional error estimators for the adaptive discretization of inverse problems
    In: Inverse problems Jg. 32 (2016) Nr. 10, S. 104004
    ISSN: 1361-6420
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kunisch, Karl
    Multi-bang control of elliptic systems
    In: Annales de l'Institut Henri Poincaré Jg. 31 (2014) Nr. 6, S. 1109 - 1130
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kaltenbacher, Barbara
    Optimal control of a singular PDE modeling transient MEMS with control or state constraints
    In: Journal of mathematical analysis and applications Jg. 410 (2014) Nr. 1, S. 455 - 468
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kaltenbacher, Barbara
    Avoiding degeneracy in the Westervelt equation by state constrained optimal control
    In: Evolution equations and control theory Jg. 2 (2013) Nr. 2, S. 281 - 300
    ISSN: 2163-2480
    Online Volltext: dx.doi.org/
  • Clason, Christian; Bredies, Kristian; Knoll, Florian; Stollberger, Rudolf
    Iterative image reconstruction for accelerated MR-imaging : Mathematics meets radiology
    In: Strahlentherapie und Onkologie Jg. 189 (2013) Nr. 2, S. 173 - 188
    ISSN: 1439-099X
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kaltenbacher, Barbara
    On the use of state constraints in optimal control of singular PDEs
    In: Systems & control letters Jg. 62 (2013) Nr. 1, S. 48 - 54
    ISSN: 1872-7956
    Online Volltext: dx.doi.org/
  • Casas, Eduardo; Clason, Christian; Kunisch, Karl
    Parabolic Control Problems in Measure Spaces with Sparse Solutions Parabolic Control Problems in Measure Spaces with Sparse Solutions Parabolic control problems in measure spaces with sparse solutions
    In: SIAM journal on control and optimization Jg. 51 (2013) Nr. 1, S. 28 - 63
    ISSN: 1095-7138
    Online Volltext: dx.doi.org/
  • Clason, Christian; Jin, Bangti
    A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise
    In: SIAM journal on imaging sciences Jg. 5 (2012) Nr. 2, S. 505 - 536
    ISSN: 1936-4954
    Online Volltext: dx.doi.org/
  • Brunner, Patricia; Scharfetter, Hermann; Clason, Christian; Freiberger, Manuel
    A deterministic approach to the adapted optode placement for illumination of highly scattering tissue
    In: Biomedical Optics Express (BOEx) Jg. 3 (2012) Nr. 7, S. 1732 - 1743
    ISSN: 2156-7085
    Online Volltext: dx.doi.org/
  • Clason, Christian; von Winckel, Gregory
    A general spectral method for the numerical simulation of one-dimensional interacting fermions
    In: Computer physics communications Jg. 183 (2012) Nr. 2, S. 405 - 417
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kunisch, Karl
    A measure space approach to optimal source placement
    In: Computational optimization and applications Jg. 53 (2012) Nr. 1, S. 155 - 171
    ISSN: 1573-2894
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kunisch, Karl; Ito, Kazufumi
    A minimum effort optimal control problem for elliptic PDEs
    In: Mathematical modelling and numerical analysis Jg. 46 (2012) Nr. 4, S. 911 - 927
    ISSN: 1290-3841
    Online Volltext: dx.doi.org/
  • Keeling, Stephen; Clason, Christian; Hintermüller, Christian; Knoll, Florian; Laurain, Antoine
    An image space approach to Cartesian based parallel MR imaging with total variation regularization
    In: Medical image analysis Jg. 16 (2012) Nr. 1, S. 189 - 200
    ISSN: 1361-8423
    Online Volltext: dx.doi.org/
  • Casas, Eduardo; Clason, Christian; Kunisch, Karl
    Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions Approximation of elliptic control problems in measure spaces with sparse solutions
    In: SIAM journal on control and optimization Jg. 50 (2012) Nr. 4, S. 1735 - 1752
    ISSN: 1095-7138
  • Clason, Christian
    L∞ fitting for inverse problems with uniform noise
    In: Inverse problems Jg. 28 (2012) Nr. 10, S. 104007 - 104025
    ISSN: 1361-6420
    Online Volltext: dx.doi.org/
  • Knoll, Florian; Clason, Christian; Bredies, Kristian; Uecker, Martin; Stollberger, Rudolf
    Parallel imaging with nonlinear reconstruction using variational penalties
    In: Magnetic Resonance in Medicine Jg. 67 (2012) Nr. 1, S. 34 - 41
    ISSN: 1522-2594; 0740-3194
    Online Volltext: dx.doi.org/
  • Clason, Christian; Kunisch, Karl
    A duality-based approach to elliptic control problems in non-reflexive Banach spaces
    In: Control, optimisation and calculus of variations Jg. 17 (2011) Nr. 1, S. 243 - 266
    ISSN: 1262-3377
    Online Volltext: dx.doi.org/
  • Knoll, Florian; Clason, Christian; Dikowy, Clemens; Stollberger, Rudolf
    Adapted random sampling patterns for accelerated MRI
    In: Magnetic resonance materials in physics, biology and medicine Jg. 24 (2011) Nr. 1, S. 43 - 50
    ISSN: 1352-8661
    Online Volltext: dx.doi.org/
  • Clason, Christian; Ito, Kazufumi; Kunisch, Karl
    Minimal invasion : An optimal L∞ state constraint problem
    In: Mathematical modelling and numerical analysis Jg. 45 (2011) Nr. 3, S. 505 - 522
    ISSN: 1290-3841
    Online Volltext: dx.doi.org/
  • Bauer, Frank; Clason, Christian
    On Theoretical Limits in Parallel Magnetic Resonance Imaging
    In: International Journal of Tomography & Simulation Jg. 18 (2011) Nr. F11,
    ISSN: 2319-3336
  • Clason, Christian; Shishlenin, Maxim
    Recent advances in analytical and numerical methods in inverse problems for PDEs (minisymposium report)
    In: Journal of inverse and ill-posed problems Jg. 18 (2011) Nr. 9, S. 955 - 958
    ISSN: 1569-3945
    Online Volltext: dx.doi.org/
  • Clason, Christian; Jin, Bangti; Kunisch, Karl
    A Duality-Based Splitting Method for $\ell^1$-$TV$ Image Restoration with Automatic Regularization Parameter Choice
    In: SIAM journal on scientific computing Jg. 32 (2010) Nr. 3, S. 1484 - 1505
    ISSN: 1095-7197
    Online Volltext: dx.doi.org/
  • Clason, Christian; Jin, Bangti; Kunisch, Karl
    A Semismooth Newton Method for $\mathrm{L}^1$ Data Fitting with Automatic Choice of Regularization Parameters and Noise Calibration
    In: SIAM journal on imaging sciences Jg. 3 (2010) Nr. 2, S. 199 - 231
    ISSN: 1936-4954
    Online Volltext: dx.doi.org/
  • Freiberger, Manuel; Clason, Christian; Scharfetter, Hermann
    Adaptation and focusing of optode configurations for fluorescence optical tomography by experimental design methods
    In: Journal of Biomedical Optics Jg. 15 (2010) Nr. 1, S. 016024
    ISSN: 1560-2281; 1083-3668
    Online Volltext: dx.doi.org/
  • Kraiger, Markus; Knoll, Florian; Clason, Christian; Stollberger, Rudolf
    Assessment of Iterative Regularized Parallel Imaging Reconstruction for Quantitative Magnetic Resonance Imaging
    In: Biomedical engineering = Biomedizinische Technik Jg. 55 (2010) Nr. S1, S. 234 - 237
    ISSN: 0013-5585; 1862-278X
    Online Volltext: dx.doi.org/
  • Knoll, Florian; Stollberger, Rudolf; Unger, Markus; Diwoky, Clemens; Pock, Thomas; Clason, Christian
    Fast reduction of undersampling artifacts in radial MR angiography with 3D total variation on graphics hardware
    In: Magnetic resonance materials in physics, biology and medicine Jg. 23 (2010) Nr. 2, S. 103 - 114
    ISSN: 1352-8661
    Online Volltext: dx.doi.org/
  • Clason, Christian; von Winckel, Gregory
    On a bilinear optimization problem in parallel magnetic resonance imaging
    In: Applied mathematics and computation Jg. 216 (2010) Nr. 5, S. 1443 - 1452
    Online Volltext: dx.doi.org/
  • Freiberger, Manuel; Clason, Christian; Scharfetter, Hermann
    Total variation regularization for nonlinear fluorescence tomography with an augmented Lagrangian splitting approach
    In: Applied optics Jg. 49 (2010) Nr. 19, S. 3741 - 3747
    ISSN: 1539-4522
    Online Volltext: dx.doi.org/
  • Clason, Christian; Hepperger, Peter
    A Forward Approach to Numerical Data Assimilation
    In: SIAM journal on scientific computing Jg. 31 (2009) Nr. 4, S. 3090 - 3115
    ISSN: 1095-7197
  • Clason, Christian; Kaltenbacher, Barbara; Veljovic, Slobodan
    Boundary optimal control of the Westervelt and the Kuznetsov equations
    In: Journal of mathematical analysis and applications Jg. 256 (2009) Nr. 2, S. 738 - 751
    Online Volltext: dx.doi.org/
  • Clason, Christian; Klibanov, Michael V.
    The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
    In: SIAM journal on scientific computing Jg. 30 (2007) Nr. 1, S. 1 - 23
    ISSN: 1095-7197
    Online Volltext: dx.doi.org/
  • Clason, Christian; Hinz, Andreas M.; Schieferstein, Heinz
    A Method for Material Parameter Determination for the Human Mandible Based on Simulation and Experiment
    In: Computer methods in biomechanics and biomedical engineering Jg. 7 (2006) Nr. 5, S. 265 - 276
    ISSN: 1476-8259
    Online Volltext: dx.doi.org/
  • Beilina, Larisa; Clason, Christian
    An Adaptive Hybrid FEM/FDM Method for an Inverse Scattering Problem in Scanning Acoustic Microscopy
    In: SIAM journal on scientific computing Jg. 28 (2006) Nr. 1, S. 382 - 402
    ISSN: 1095-7197
    Online Volltext: dx.doi.org/

    • Beiträge in Sammelwerken und Tagungsbänden

  • Clason, Christian; Do, Tram
    Convex Regularization of Discrete-Valued Inverse Problems
    In: New Trends in Parameter Identification for Mathematical Models / Hofmann, Bernd; Leitão, Antonio; Zubelli, Jorge P. (Hrsg.), 2018, S. 31 - 51
    ISBN: 978-3-319-70823-2; 978-3-319-70824-9
    Online Volltext: dx.doi.org/
  • Aigner, Christoph; Stollberger, Rudolf; Rund, Armin; Clason, Christian
    Low SAR RF-pulse design by joint optimization of RF and gradient shape with physical constraints
    In: Proceedings of the 24th Scientific Meeting and Exhibition of ISMRM / 24th Scientific Meeting and Exhibition of ISMRM, Singapur, 7-13 May 2016 / 2016, S. 1133
  • Clason, Christian; Rund, Armin; Kunisch, Karl
    Optimal control of partial differential equations with nonsmooth cost functionals
    In: Proceedings of the XXIV Congress on Differential equations and applications / XXIV Congress on Differential equations and applications, Cádiz, June 8--12, 2015, / 2015, S. 3 - 8
  • Aigner, Christoph; Rund, Armin; Clason, Christian; Stollberger, Rudolf
    SAR reduced excitation by joint design of RF pulse and slice selective gradient shape
    In: Proceedings of the 23rd Scientific Meeting and Exhibition of ISMRM / 23rd Scientific Meeting and Exhibition of ISMRM, Toronto, Canada, 30 May-5 June 2015 / 2015, S. 2397
  • Aigner, Christoph; Stollberger, Rudolf; Rund, Armin; Clason, Christian
    RF pulse design for low SAR simultaneous multislice (SMS) excitation using optimal control
    In: Proceedings of the 22nd Scientific Meeting and Exhibition of ISMRM, Milan, Italy, 10-16 May 2014 / 22nd Scientific Meeting and Exhibition of ISMRM, Milan, Italy, 10-16 May 2014 / 2014
    Online Volltext
  • Aigner, Christoph; Stollberger, Rudolf; Rund, Armin; Clason, Christian
    Validation of a flexible optimal control approach for RF-pulse design including relaxation effects and SAR
    In: Tagungsband zur ÖGBMT-Jahrestagung 2014 / 6th ÖGMBT Annual Meeting – Life Sciences meet Entrepreneurship, 15.-18.09.2014, Wien, Österreich / 2014
    Online Volltext
  • Knoll, Florian; Stollberger, Rudolf; Clason, Christian; Aschauer, Manuela; Ebner, Franz
    Adapted Random 3D Sampling Patterns for CE-MRA
    In: Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM / 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010 / 2010
    Online Volltext
  • Buchgraber, Gerald; Stollberger, Rudolf; Knoll, Florian; Freiberger, Manuel; Clason, Christian; Grabner, Markus
    Fast Regridding using LSQR on Graphics Hardware
    In: Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM / 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010 / 2010
    Online Volltext
  • Clason, Christian; Kaltenbacher, Barbara; Lasiecka, Irena; Veljović, Slobodan
    Optimal boundary control for equations of nonlinear acoustics
    In: 15th International Conference on Methods and Models in Automation and Robotics / 15th International Conference on Methods and Models in Automation and Robotics (MMAR), 2010 : Mie̜zyzdroje, Poland, 23 - 26 Aug. 2010 / 2010, S. 143 - 144
    ISBN: 9781424478279
    Online Volltext: dx.doi.org/
  • Kraiger, Markus; Stollberger, Rudolf; Knoll, Florian; Clason, Christian
    Quantification of Transversal Relaxation Time T2 using an Iterative Regularized Parallel Imaging Reconstruction
    In: Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM / 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010 / 2010
    Online Volltext
  • Knoll, Florian; Clason, Christian; Stollberger, Rudolf
    Tailored 3D Random Sampling Patterns for Nonlinear Parallel Imaging
    In: Proceedings of the 18th Scientific Meeting and Exhibition of ISMRM / 18th Scientific Meeting and Exhibition of ISMRM, Stockholm, Sweden, 1-7 May 2010 / 2010
    Online Volltext

    • Bücher/Sammelwerke/Tagungsbände

  • Bredies, Kristian; Clason, Christian; Kunisch, Karl
    Control and Optimization with PDE Constraints
    Basel (2013) X, 215 p. 43 illus
    (International Series of Numerical Mathematics ; 164)
    ISBN: 978-3-0348-0631-2
    Online Volltext: dx.doi.org/

Administrative Tätigkeiten

  • Vorsitz des Prüfungsausschusses Bachelor Mathematik (Sprechstunde nach Vereinbarung per Email; bitte geben Sie dabei die genaue Prüfungsordnung inklusive Jahr an!)
Akademischer Werdegang
Dezember 2012 Habilitation in Mathematik, Karl-Franzens-Universität Graz
Dezember 2006 Promotion in Mathematik, Technische Universität München
September 2001 Diplom in Mathematik, Ludwig-Maximilians-Universität München
Beruflicher Werdegang
seit 2014 Universitätsprofessor (W2), Universität Duisburg-Essen
2013-2014 Assoziierter Professor, Karl-Franzens-Universität Graz
2009-2013 Assistenzprofessor, Karl-Franzens-Universität Graz
2008-2009 Wissenschaftlicher Mitarbeiter, Karl-Franzens-Universität Graz
2007-2008 Projekt-Mitarbeiter, Karl-Franzens-Universität Graz
2001-2007 Wissenschaftlicher Mitarbeiter, Technische Universität München