Publications of the Research Group Inverse Problems
Refereed journal papers
The linked pdf-files do not necessarily coincide with the article's published version!
Selected conference proceedings
Submitted papers
All publications as BibTeX-file
Refereed journal papers
The linked pdf-files do not necessarily coincide with the article's published version!
- Halla, Martin. 2023. On the approximation of dispersive electromagnetic eigenvalue problems in two dimensions. IMA J. Numer. Anal. 43(1): 535-559.
doi:10.1093/imanum/drab100
- Halla, Martin. 2023. On the Existence and Stability of Modified Maxwell Steklov Eigenvalues. SIAM J. Math. Anal. 55(5): 5445-5463.
doi:10.1137/22M1509266 - Halla, Martin. 2023. Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case. Res. Math. Sci. 10(2): Paper No. 18, 24.
doi:10.1007/s40687-023-00386-y - Björn Müller, Thorsten Hohage, Damien Fournier, Laurent Gizon. 2023. Quantitative passive imaging by iterative holography: The example of helioseismic holography.
- Thorsten Hohage, Pierre Maréchal, Léopold Simar, Anne Vanhems. 2022. A mollifier approach to the deconvolution of probability densities. Econometric Theory. 40pp.
doi:10.1017/S0266466622000457 - Thorsten Hohage, Frank Werner. 2022. Error estimates for variational regularization of inverse problems with general noise models for data and operator. ETNA 57: 127-152.
doi:10.1553/etna_vol57s127 - Philip Miller, Thorsten Hohage. 2022. Convergence rates for oversmoothing Banach space regularization. ETNA 57: 101 - 126.
doi:10.1553/etna_vol57s101 - Halla, Martin. 2022. Radial complex scaling for anisotropic scalar resonance problems. SIAM J. Numer. Anal. 60(5): 2713-2730.
doi:10.1137/21M1455747 - Halla, Martin. 2022. On the treatment of exterior domains for the time-harmonic equations of stellar oscillations. SIAM J. Math. Anal. 54(5): 5268-5290.
doi:10.1137/21M1418812 - Thorsten Hohage, Christoph Lehrenfeld, Janosch Preuß. 2021. Learned Infinite Elements. SIAM J. Scientific Computing.
doi:https://doi.org/10.1137/20M1381757 - Philip Miller, Thorsten Hohage. 2021. Maximal Spaces for Approximation Rates in \ell^1-regularization. Numerische Mathematik.
doi:10.1007/s00211-021-01225-4 - Miller, Philip. 2021. Variational regularization theory based on image space approximation rates. Inverse Problems 37(6): 065003 (32pp.
doi:10.1088/1361-6420/abf5bb - Martin Halla, Thorsten Hohage. 2021. On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations. SIAM J. Math. Anal. 53(4): 4068-4095.
doi:10.1137/20M1348558 - Xiaoxu Xu, Bo Zhang, Haiwen Zhang. 2020. Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency. Inverse Problems and Imaging 14: 489-510.
doi:10.3934/ipi.2020023 - Thorsten Hohage, Hans-Georg Raumer, Carsten Spehr. 2020. Uniqueness of an inverse source problem in experimental aeroacoustics. Inverse Problems 36: 075012 (18pp.
doi:10.1088/1361-6420/ab8484 - Thorsten Hohage, Benjamin Sprung, Frederic Weidling. 2020. Inverse Problems. In Nanoscale Photonic Imaging. 134: Springer. 145-164.
doi:https://doi.org/10.1007/978-3-030-34413-9_5 - Simon Maretzke, Thorsten Hohage. 2020. Constrained Reconstructions in X-ray Phase Contrast Imaging: Uniqueness, Stability and Algorithms. In Nanoscale Photonic Imaging. 134: Springer. 377-403.
doi:https://doi.org/10.1007/978-3-030-34413-9_14 - Janosch Preuß, Thorsten Hohage, Christoph Lehrenfeld. 2020. Sweeping preconditioners for stratified media in the presence of reflections. Springer Nature Partial Differential Equations and Applications 1: 17.
doi:10.1007/s42985-020-00019-x - Hans-Georg Raumer, Carsten Spehr, Thorsten Hohage, Daniel Ernst. 2020. Weighted Data Spaces for Correlation Based Array Imaging in Experimental Aeroacoustics. Journal of Sound and Vibration.
doi:10.1016/j.jsv.2020.115878 - Frederic Weidling, Benjamin Sprung, Thorsten Hohage. 2020. Optimal convergence rates for Tikhonov regularization in Besov spaces. SIAM J. Numer. Anal. 58: 21-47.
doi:10.1137/18M1178098 - Cong Shi, Claus Ropers, Thorsten Hohage. 2020. Density Matrix Reconstructions in Ultrafast Transmission Electron Microscopy: Uniqueness, Stability, and Convergence Rates. Inverse Problems 36: 025005.
doi:10.1088/1361-6420/ab539a - Bo Zhang, Haiwen Zhang. 2020. An Approximate Factorization Method for Inverse Acoustic Scattering with Phaseless Total-Field Data. SIAM J. Appl. Math. 80: 2271-2298.
doi:10.1137/19M1280612 - Alexey Agaltsov, Thorsten Hohage, Roman Novikov. 2020. Global uniqueness in a passive inverse problem of helioseismology. Inverse Problems 36: 055004 (21pp.
doi:10.1088/1361-6420/ab77d9 - Vo, Anh Khoa, Le Thi, Phuong Ngoc, Nguyen, Thanh Long. 2019. Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms. Evolution Eq. and Control Theory 8(2): 359-395.
doi:10.3934/eect.2019019 - Thorsten Hohage, Roman G Novikov. 2019. Inverse wave propagation problems without phase information. Inverse Problems 35(7): 070301.
doi:10.1088/1361-6420/ab1aaf - Thorsten Hohage, Philip Miller. 2019. Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces. Inverse Problems 35: 65005 (27pp.
doi:10.1088/1361-6420/ab0b15 - Nguyen, Huy Tuan, Vo, Anh Khoa, Mai, Thanh Nhat Truong, Tran, The Hung, Mach, Nguyet Minh. 2019. Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system. Inv. Prob. Science Eng. 27:
doi:10.1080/17415977.2018.1470623 - Julian Eckhardt, Ralf Hiptmair, Thorsten Hohage, Henrik Schumacher, Max Wardetzky. 2019. Elastic energy regularization for inverse obstacle scattering problems. Inverse Problems 35: 104009 (20pp.
doi:10.1088/1361-6420/ab3034 - Huy Tuan Nguyen,, Vo Anh Khoa, Van Au Vo. 2019. Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements Read More: https://epubs.siam.org/doi/abs/10.1137/18M1174064. SIAM J. Math. Anal. 51(1):
doi:10.1137/18M1174064 - Helen Schomburg, Thorsten Hohage. 2019. Formulation and Efficient Computation of l1- and Smoothness Penalized Estimates for Microstructure-Informed Tractography. IEEE Trans. Med. Imag. 38: 1899-1909.
doi:10.1109/TMI.2019.2902787 - Fenglong Qu, Bo Zhang, Haiwen Zhang. 2019. A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem: The Neumann Case. SIAM J. Sc. Comp. 41: A3673-A3702.
doi:10.1137/19M1240745 - Benjamin Sprung. 2019. Upper and lower bounds for the Bregman divergence. J. Inequal. Appl. 4:
doi:10.1186/s13660-018-1953-y - Benjamin Sprung, Thorsten Hohage. 2019. Higher order convergence rates for Bregman iterated variational regularization of inverse problems. Numer. Math. 141: 215-252.
doi:10.1007/s00211-018-0987-x - Zickert, Gustav, Maretzke, Simon. 2018. Cryogenic electron tomography reconstructions from phaseless data. Inverse Problems 34: 124001.
doi:10.1088/1361-6420/aade22 - Tristan van Leeuwen, Simon Maretzke, K. Joost Batenburg. 2018. Automatic alignment for three-dimensional tomographic reconstruction. Inverse Problems 34(2): 024004.
doi:10.1088/1361-6420/aaa0f8 - Maretzke, Simon. 2018. Locality estimates for Fresnel-wave-propagation and stability of near-field X-ray propagation imaging with finite detectors. Inverse problems 34(12): 124004.
doi:10.1088/1361-6420/aae78f - Alexey Agaltsov, Thorsten Hohage, Roman Novikov. 2018. Monochromatic identities for the Green function and uniqueness results for passive imaging. SIAM J. Appl. Math. 78(5): 2865-2890.
doi:10.1137/18M1182218 - Alexey Agaltsov, Thorsten Hohage, Roman Novikov. 2018. An iterative approach to monochromatic phaseless inverse scattering. Inverse Problems 35(2): 024001.
doi:10.1088/1361-6420/aaf097 - Zhengguo Tan, Thorsten Hohage, Oleksandr Kalentev , Xiaoqing Wang, Dirk Voit, Klaus-Dietmar Merboldt, Jens Frahm. 2017. An eigenvalue approach for the automatic scaling of unknowns in model-based reconstructions: application to real-time phase-contrast flow MRI. NMR in Biomedicine. e3835-n/a.
doi:10.1002/nbm.3835 - Thorsten Hohage, Frederic Weidling. 2017. Characterizations of variational source conditions, converse results, and maxisets of spectral regularization methods. SIAM J. Numer. Anal. 55(2): 598-620.
doi:10.3934/ipi.2017010 - Simon Maretzke, Thorsten Hohage. 2017. Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging. SIAM J. Appl. Math. 77(2): 384-408.
doi:10.1137/16M1086170 - Laurent Gizon, Hélène Barucq, Marc Duruflé, Chris Hanson, Michael Leguèbe, Aaron Birch, Juliette Chabassier, Damien Fournier, Thorsten Hohage, Emanuele Papini. 2017. Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows. Astronomy & Astrophysics 600: A35.
doi:10.1051/0004-6361/201629470 - Katharina E. Priebe, Christopher Rathje, Sergey V. Yalunin, Thorsten Hohage, Armin Feist, Sascha Schäfer, Claus Ropers. 2017. Attosecond Electron Pulse Trains and Quantum State Reconstruction in Ultrafast Transmission Electron Microscopy. Nature Photonics 11: 793-797.
doi:10.1038/s41566-017-0045-8 - Helen Schomburg, Thorsten Hohage. 2017. Semi-Local Tractography Strategies Using Neighborhood Information. Medical Image Analysis 38: 165-183.
doi:10.1016/j.media.2017.03.003 - Frederic Weidling, Thorsten Hohage. 2017. Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems. Inverse Problems and Imaging 11(1): 203-220.
doi:10.3934/ipi.2017010 - Thorsten Hohage, Frank Werner. 2016. Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms. Inverse Problems 32: 093001:56pp.
doi:10.1088/0266-5611/32/9/093001 - Martin Halla, Thorsten Hohage, Lothar Nannen, Joachim Schöberl. 2016. Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs. Numer. Math. 133: Springer Berlin Heidelberg. 103-139.
doi:10.1007/s00211-015-0739-0 - Maretzke, S., Bartels, M., Krenkel, M., Salditt, T., Hohage, T.. 2016. Regularized Newton methods for x-ray phase contrast and general imaging problems. Optics Express 24: 6490-6506.
doi:10.1364/OE.24.006490 - Damien Fournier, Laurent Gizon, Martin Holzke, Thorsten Hohage. 2016. Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows. Inverse Problems 32(10): 105002:27pp.
doi:10.1088/0266-5611/32/10/105002 - Claudia König, Frank Werner, Thorsten Hohage. 2016. Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise. SIAM J. Numer. Anal. 54(1): 341-360.
doi:10.1137/15M1022252 - Werner, Frank. 2015. On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition. J. Inverse Ill-Posed Probl. 23(1): 75-84.
doi:10.1515/jiip-2013-0074 - Thorsten Hohage, Lothar Nannen. 2015. Convergence of infinite element methods for scalar waveguide problems. BIT Numer. Math. 55(1): 215-254.
doi:0.1007/s10543-014-0525-x - Maretzke, S.. 2015. A uniqueness result for propagation-based phase contrast imaging from a single measurement. Inverse Problems 31(6): 065003:16pp.
doi:10.1088/0266-5611/31/6/065003 - Hohage, Thorsten, Weidling, Frederic. 2015. Verification of a variational source condition for acoustic inverse medium scattering problems. Inverse Problems 31(7): 075006:14pp.
doi:10.1088/0266-5611/31/7/075006 - Hohage, T., Rügge, C.. 2015. A coherence enhancing penalty for diffusion MRI: Regularizing property and discrete approximation. SIAM J. Imaging Sci. 8(3): 1874-1893.
doi:10.1137/140998767 - C. Homann, T. Hohage, J. Hagemann, A.-L. Robisch, T. Salditt. 2015. Validity of the empty-beam correction in near-field imaging. Physical Review A 91: 013821.
doi:10.1103/PhysRevA.91.013821 - Thorsten Hohage, Frank Werner. 2014. Convergence rates for inverse problems with impulsive noise. SIAM J. Numer. Anal. 52(3): 1203-1221.
doi:10.1137/130932661 - Sophie Frick, Thorsten Hohage, Axel Munk. 2014. Asymptotic laws for change point estimation in inverse regression. Statistica Sinica 24(2): 555-575.
doi:10.5705/ss.2012.007 - J. Hagemann, A. L. Robisch, D. R. Luke, C. Homann, T. Hohage, P. Cloetens, H. Suhonen, T. Salditt. 2014. Wave Front Reconstruction for Extended hard X-ray Beams from a set of Detection Planes. Optics Express 22: 11552-11569.
doi:10.1364/OE.22.011552 - Fabian Dunker, Thorsten Hohage. 2014. On parameter identification in stochastic differential equations by penalized maximum likelihood. Inverse Problems 30(9): 095001:20pp.
doi:10.1088/0266-5611/30/9/095001 - Fabian Dunker, Jean-Pierre Florens, Thorsten Hohage, Jan Johannes, Enno Mammen. 2014. Iterative estimation of solutions to noisy nonlinear operator equations in nonparametric instrumental regression. Journal of Econometrics 178: 444-455.
doi:10.1016/j.jeconom.2013.06.001 - Damien Fournier, Laurent Gizon, Thorsten Hohage, Aaron Birch. 2014. Generalization of the noise model for time-distance helioseismology. Astronomy & Astrophysics 567: A317:20pp.
doi:10.1051/0004-6361/201423580 - Thorsten Hohage, Sofiane Soussi. 2013. Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides. J. Math. Pures Appl. (9 100(1): 113-135.
doi:10.1016/j.matpur.2012.10.013 - T. Hohage, F. Werner. 2013. Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data. Numerische Mathematik 123(4): 745-779.
doi:10.1007/s00211-012-0499-z - Lothar Nannen, Thorsten Hohage, Achim Schädle, Joachim Schöberl. 2013. Exact sequences of high order Hardy space inifinite elements for exterior Maxwell problems. SIAM J. Sci. Comput. 35(2): A1024-A1048.
doi:10.1137/110860148 - R. Stück, M. Burger, T. Hohage. 2012. The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Inverse Problems 28(1): 015012:16pp.
doi:10.1088/0266-5611/28/1/015012 - J Jackiewicz, A C Birch, L Gizon, S Hanasoge, T Hohage, J B Ruffio, M Svanda. 2012. Multichannel Three-dimensional OLA Inversion for Local Helioseismology Solar Physics. Solar Phys 276: 19-33.
doi:10.1007/s11207-011-9873-8 - F. Werner, T. Hohage. 2012. Convergence rates in expectation for Tikhonov-type regularization of Inverse Problems with Poisson data. Inverse Problems 28(10): 104004:15pp.
doi:10.1088/0266-5611/28/10/104004 - A. Paarmann, M. Gulde, M. Müller, Schäfer, S. Schweda, M. Maiti, C. Xu, T. Hohage, F. Schenk, C. Ropers, R. Ernstorfer. 2012. Coherent femtosecond low-energy single-electron pulses for time-resolved diffraction and imaging: A numerical study. Journal of Applied Physics 112: 113109.
doi:10.1063/1.4768204 - T. Hohage, S. Langer. 2010. Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems. Inverse Problems 26(7): 074011:15pp.
doi:10.1088/0266-5611/26/7/074011 - T. Hohage, L. Nannen. 2009. Hardy space infinite elements for scattering and resonance problems. SIAM J. Numer. Anal. 47(2): 972-996.
doi:10.1137/070708044 - Langer, Stefan. 2009. Complexity analysis of the iteratively regularized Gauss-Newton method with inner CG-iteration. J. Inverse Ill-Posed Probl. 17(9): 871-890.
doi:10.1515/JIIP.2009.051 - H. Harbrecht, T. Hohage. 2009. A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. Inverse Probl. Imaging 3(2): 353-371.
doi:10.3934/ipi.2009.3.353 - F. Bauer, T. Hohage, A. Munk. 2009. Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise. SIAM J. Numer. Anal. 47(3): 1827-1846.
doi:10.1137/080721789 - D. S. Gilliam, T. Hohage, X. Ji, R. Ruymgaart. 2009. The Frechet derivative of an analytic function of a bounded operator with some applications. Int. J. Math. Math. Sci.. Art. ID 239025, 17.
doi:10.1155/2009/239025 - T. Hohage, M. Pricop. 2008. Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Inverse Probl. Imaging 2(2): 271-290.
doi:10.3934/ipi.2008.2.271 - T. Hohage, K. Giewekemeyer, T. Salditt. 2008. Iterative reconstruction of a refractive index from x-ray or neutron reflectivity measurements. Physical Review E. 77: 051604.
doi:10.1103/PhysRevE.77.051604 - M. Uecker, T. Hohage, K. T. Block, J. Frahm. 2008. Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content. Magnetic Resonance in Medicine 60: 674-682.
doi:10.1002/mrm.21691 - F. Schmidt, T. Hohage, R. Klose, A. Schädle, L. Zschiedrich. 2008. Pole condition: a numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain. J. Comput. Appl. Math. 218(1): 61-69.
doi:10.1016/j.cam.2007.04.046 - T. Hohage, M.-L. Rapun, F.-J. Sayas. 2007. Detecting corrosion using thermal measurements. Inverse Problems 23(1): 53-72.
doi:10.1088/0266-5611/23/1/003 - S. Langer, T. Hohage. 2007. Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. J. Inverse Ill-Posed Probl. 15(3): 311-327.
doi:10.1515/jiip.2007.017 - S. Hein, T. Hohage, W. Koch, J. Schöberl. 2007. Acoustic resonances in a high-lift configuration. J. Fluid Mech. 582: 179-202.
doi:10.1017/S0022112007005770 - N. Bissantz, T. Hohage, A. Munk, F. Ruymgaart. 2007. Convergence rates of general regularization methods for statistical inverse problems and applications. SIAM J. Numer. Anal. 45(6): 2610-2636.
doi:10.1137/060651884 - H. Harbrecht, T. Hohage. 2007. Fast methods for three-dimensional inverse obstacle scattering problems. J. Integral Equations Appl. 19(3): 237-260.
doi:10.1216/jiea/1190905486 - T. Hohage. 2006. Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem. J. Comput. Phys. 214(1): 224-238.
doi:10.1016/j.jcp.2005.09.025 - T. Hohage, F.-J. Sayas. 2005. Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform. Numerische Mathematik 102(1): 67-92.
doi:10.1007/s00211-005-0645-y - T. Arens, T. Hohage. 2005. On radiation conditions for rough surface scattering problems. IMA J. Appl. Math. 70(6): 839-847.
doi:10.1093/imamat/hxh065 - F. Bauer, T. Hohage. 2005. A Lepskij-type stopping rule for regularized Newton methods. Inverse Problems 21(6): 1975-1991.
doi:10.1088/0266-5611/21/6/011 - S. Hein, T. Hohage, W. Koch. 2004. On resonances in open systems. J. Fluid Mech. 506: 255-284.
doi:10.1017/S0022112004008584 - N. Bissantz, T. Hohage, A. Munk. 2004. Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise. Inverse Problems 20(6): 1773-1789.
doi:10.1088/0266-5611/20/6/005 - T. Hohage, F. Schmidt, L. Zschiedrich. 2003. Solving time-harmonic scattering problems based on the pole condition. II. Convergence of the PML method. SIAM J. Math. Anal. 35(3): 547-560.
doi:10.1137/S0036141002406485 - T. Hohage, F. Schmidt, L. Zschiedrich. 2003. Solving time-harmonic scattering problems based on the pole condition. I. Theory. SIAM J. Math. Anal. 35(1): 183-210.
doi:10.1137/S0036141002406473
Selected conference proceedings
- Thorsten Hohage. 2005. An iterative method for inverse medium scattering problems based on factorization of the far field operator. In The 2nd International Converence on Inverse Problems: Recent Theoretical Development and Numerical Approaches. Fudan University, Shanghai. 12: IOP. 33-45.
- Thorsten Hohage, Frank Schmidt, Lin Zschiedrich. 2002. A new method for the solution of scattering problems. In Proceedings of the European Symposium on Numerical Methods in Electromagnetics: JEE 02. 251-256. ONERA, Toulouse.
Submitted papers
All publications as BibTeX-file
contact
Research Group Inverse Problems
Prof. Dr. Thorsten Hohage
Lotzestraße 16-18
D-37083 Göttingen
Germany
Secretary:
room 8
Tel: +49 551 39 24502
Fax: +49 551 39 23944