% Encoding: ISO8859_1 @Preprint{HL:24, author = {Thorsten Hohage and Meng Liu}, title = {Passive inverse obstacle scattering problems for the Helmholtz equation}, year = 2024, url = {https://doi.org/10.48550/arXiv.2410.06105} } @Article{FPHG:24, author = {Damien Fournier and Janosch Preuss and Thorsten Hohage and Laurent Gizon}, title = {Learned infinite elements for helioseismology -- Learning transparent boundary conditions for the solar atmosphere}, journal = {A\&A}, fjournal = {Astronomy and Astrophysics}, volume = 690, pages = {A86 (11pp)} year = {2024}, url = {https://arxiv.org/abs/2402.08059}, doi = {10.1051/0004-6361/202449611} } @Article{HNS:24, author = {Thorsten Hohage and Roman Novikov and Vladimir Sivkin}, title = {Phase retrieval and phaseless inverse scattering with background information}, journal = {Inverse Problems}, year = {2024}, volume = {40}, pages = {105007}, url = {https://hal.laas.fr/X-CMAP/hal-03806616v2}, doi = {10.1088/1361-6420/ad6fc6} } @Article{strauch_etal:24, author = {Hannah Strauch and Fengling Zhang and Stefan Mathias and Thorsten Hohage and Stefan Witte and Matthijs Jansen}, title = {Fast spectroscopic imaging using extreme ultraviolet interferometry}, journal = {Optics Express}, year = {2024}, volume = {32}, number = {16}, pages = {28644--28654}, url = {https://arxiv.org/abs/2403.03620}, doi = {10.1364/OE.523102} } @Article{gaida_etal:23, author = {John H. Gaida and Hugo Lourenco-Martins and Sergey V. Yalunin and Armin Feist, Murat Sivis and Thorsten Hohage and F. Javier Garcia de Abajo and Claus Ropers}, title = {Lorentz microscopy of optical fields}, journal = {Nature Comm.}, journaltitle = {Nature Communications}, year = {2023}, volume = {14}, pages = {5863}, url = {https://doi.org/10.1038/s41467-023-41333-3}, doi = {10.1038/s41467-023-42054-3} } @Article{MHFG:23, author = {Bj\"orn M\"uller and Thorsten Hohage and Damien Fournier and Laurent Gizon}, title = {Quantitative passive imaging by iterative holography: The example of helioseismic holography}, year = {2024}, journal = {Inverse Problems}, volume = {40}, number = {4}, pages = {045016 (32pp)}, url = {https://arxiv.org/abs/2310.03837} doi = {10.1088/1361-6420/ad2b9a} } @Article{MH:20, author = {Simon Maretzke and Thorsten Hohage}, title = {Constrained Reconstructions in X-ray Phase Contrast Imaging: Uniqueness, Stability and Algorithms}, booktitle = {Nanoscale Photonic Imaging}, year = {2020}, editor = {Tim Salditt and Alexander Egner and Russell Luke}, volume = {134}, edition = {Topics in Applied Physics}, publisher = {Springer}, pages = {377--403}, doi = {https://doi.org/10.1007/978-3-030-34413-9_14}, } @Article{HSW:20, author = {Thorsten Hohage and Benjamin Sprung and Frederic Weidling}, title = {Inverse Problems}, booktitle = {Nanoscale Photonic Imaging}, year = {2020}, editor = {Tim Salditt and Alexander Egner and Russell Luke}, volume = {134}, edition = {Topics in Applied Physics}, publisher = {Springer}, pages = {145--164}, doi = {https://doi.org/10.1007/978-3-030-34413-9_5}, } @Article{HMSV:22, author = {Thorsten Hohage and Pierre Maréchal and Léopold Simar and Anne Vanhems}, title = {A mollifier approach to the deconvolution of probability densities}, journal = {Econometric Theory}, year = 2022, pages = {40pp}, DOI = {10.1017/S0266466622000457} } @Article{HW:22, author = {Thorsten Hohage and Frank Werner}, title = {Error estimates for variational regularization of inverse problems with general noise models for data and operator}, journal = {ETNA}, fjounral = {Electronic Transactions on Numerical Analysis} year = 2022, volume = {57}, pages = {127--152}, DOI = {10.1553/etna_vol57s127} } @Article{MH:22, author = {Philip Miller and Thorsten Hohage}, title = {Convergence rates for oversmoothing {B}anach space regularization}, journal = {ETNA}, fjounral = {Electronic Transactions on Numerical Analysis} year = 2022, volume = {57}, pages = {101 -- 126}, doi = {10.1553/etna_vol57s101}, url = {https://arxiv.org/abs/2203.02339} } @Article{MH:21, author = {Philip Miller and Thorsten Hohage}, title = {Maximal Spaces for Approximation Rates in $\ell^1$-regularization}, journal = {Numerische Mathematik}, year = 2021, volume = {149}, number = {2}, pages = {341--374}, doi = {10.1007/s00211-021-01225-4}, url = {https://arxiv.org/abs/2005.14674} } @Article{HLP:21, title={Learned Infinite Elements}, author={Thorsten Hohage and Christoph Lehrenfeld and Janosch Preu{\ss}}, journal = {SIAM J. Scientific Computing}, year={2021}, volume = {43}, number = {5}, pages = {A3552--A3579}, doi = {https://doi.org/10.1137/20M1381757}, url={http://arxiv.org/abs/2010.15479} } @Article{HH:21, title={On the well-posedness of the damped time-harmonic {Galbrun} equation and the equations of stellar oscillations}, author={Martin Halla and Thorsten Hohage}, year={2021}, journal = {SIAM J. Math. Anal.}, volume = {53}, number = {4}, pages = {4068--4095} doi = {10.1137/20M1348558}, url={http://arxiv.org/abs/2006.07658} } @Article{HN:19, author = {Thorsten Hohage and Roman G Novikov}, title = {Inverse wave propagation problems without phase information}, journal = {Inverse Problems}, year = {2019}, volume = {35}, number = {7}, month = {jun}, pages = {070301}, doi = {10.1088/1361-6420/ab1aaf}, url = {https://doi.org/10.1088%2F1361-6420%2Fab1aaf} } @Article{AHN:20, author = {Alexey Agaltsov and Thorsten Hohage and Roman Novikov}, title = {Global uniqueness in a passive inverse problem of helioseismology}, year = 2020, doi = {10.1088/1361-6420/ab77d9}, journal = {Inverse Problems}, volume = 36, pages = {055004 (21pp)}, url ={https://arxiv.org/abs/1907.05939} } @Article{RSHE:20, author = {Hans-Georg Raumer and Carsten Spehr and Thorsten Hohage and Daniel Ernst}, title = {Weighted Data Spaces for Correlation Based Array Imaging in Experimental Aeroacoustics}, journal = {Journal of Sound and Vibration}, year = 2020, doi = {10.1016/j.jsv.2020.115878}, url = {http://arxiv.org/abs/2005.13426} } @article{PHL_2020, title = {Sweeping preconditioners for stratified media in the presence of reflections}, author = {Janosch Preu{\ss} and Thorsten Hohage and Christoph Lehrenfeld}, journal = {Springer Nature Partial Differential Equations and Applications}, volume = {1}, pages = {17}, issue = {17}, year = {2020}, doi = {10.1007/s42985-020-00019-x}, url = {https://arxiv.org/abs/2002.12016}, } @Article{HRS:20, author = {Thorsten Hohage and Hans-Georg Raumer and Carsten Spehr}, title = {Uniqueness of an inverse source problem in experimental aeroacoustics}, year = 2020, Journal = {Inverse Problems}, doi = {10.1088/1361-6420/ab8484}, volume = {36}, pages = {075012 (18pp)}, url = {https://arxiv.org/abs/1912.11129} } @Article{SRH:20, author = {Cong Shi and Claus Ropers and Thorsten Hohage}, title = {Density Matrix Reconstructions in Ultrafast Transmission Electron Microscopy: Uniqueness, Stability, and Convergence Rates}, year = 2020, Journal = {Inverse Problems}, volume = 36, pages = {025005}, doi = {10.1088/1361-6420/ab539a}, url = {https://arxiv.org/abs/1907.03438} } @Article{EHHSW:19, Title = {Elastic energy regularization for inverse obstacle scattering problems}, Author = {Julian Eckhardt and Ralf Hiptmair and Thorsten Hohage and Henrik Schumacher and Max Wardetzky}, Journal = {Inverse Problems}, volume = 35, issue = 10, pages = {104009 (20pp)}, Year = 2019, doi = {10.1088/1361-6420/ab3034}, Url = {https://arxiv.org/abs/1903.05074} } @Article{SchH:19, Title = {Formulation and Efficient Computation of l1- and Smoothness Penalized Estimates for Microstructure-Informed Tractography}, Author = {Helen Schomburg and Thorsten Hohage}, Journal = {IEEE Trans. Med. Imag.}, Doi = {10.1109/TMI.2019.2902787}, Year = {2019}, volume = 38, issue = 8, Pages = {1899--1909}, Owner = {thohage}, Timestamp = {2018.07.11} } @Article{SH:19, Title = {Higher order convergence rates for {B}regman iterated variational regularization of inverse problems}, Author = {Benjamin Sprung and Thorsten Hohage}, Journal = {Numer. Math.}, Year = {2019}, Pages = {215--252}, Volume = {141}, Doi = {10.1007/s00211-018-0987-x}, Owner = {thohage}, Timestamp = {2018.07.11}, Url = {https://arxiv.org/abs/1710.09244} } @Article{AHN:18b, Title = {An iterative approach to monochromatic phaseless inverse scattering}, Author = {Alexey Agaltsov and Thorsten Hohage and Roman Novikov}, Year = {2018}, volume = 35, number = 2, pages = {024001}, Journal = {Inverse Problems}, Owner = {thohage}, Url = {https://hal.archives-ouvertes.fr/hal-01822262}, doi = {10.1088/1361-6420/aaf097} } @Article{AHN:18, Title = {Monochromatic identities for the {G}reen function and uniqueness results for passive imaging}, Author = {Alexey Agaltsov and Thorsten Hohage and Roman Novikov}, volume={78}, number={5}, Year = {2018}, pages = {2865--2890}, Journal = {SIAM J. Appl. Math.}, Owner = {thohage}, Timestamp = {2018.04.10}, doi = {10.1137/18M1182218}, Url = {https://arxiv.org/abs/1804.03375} } @Article{HM:19, Title = {Optimal convergence rates for sparsity promoting wavelet-regularization in {B}esov spaces}, Author = {Thorsten Hohage and Philip Miller}, Year = {2019}, volume = 35, issue = 6, pages = {65005 (27pp)}, Doi = {10.1088/1361-6420/ab0b15}, Journal = {Inverse Problems}, Owner = {thohage}, Timestamp = {2018.03.31}, Url = {https://arxiv.org/abs/1810.06316} } @Article{WSH:20, Title = {Optimal convergence rates for {T}ikhonov regularization in {B}esov spaces}, Author = {Frederic Weidling and Benjamin Sprung and Thorsten Hohage}, Year = {2020}, volume = 58, issue = 1, pages = {21--47}, doi = {10.1137/18M1178098}, Journal = {SIAM J. Numer. Anal.}, Owner = {thohage}, Url = {https://arxiv.org/abs/1803.11019} } @Article{tan_etal:17, Title = {An eigenvalue approach for the automatic scaling of unknowns in model-based reconstructions: application to real-time phase-contrast flow {MRI}}, Author = {Zhengguo Tan and Thorsten Hohage and Oleksandr Kalentev and Xiaoqing Wang and Dirk Voit and Klaus-Dietmar Merboldt and Jens Frahm}, Journal = {NMR in Biomedicine}, Year = {2017}, Pages = {e3835--n/a}, Doi = {10.1002/nbm.3835}, Owner = {thohage}, Timestamp = {2017.08.27}, Url = {http://dx.doi.org/10.1002/nbm.3835} } @Article{priebe_etal:17, Title = {Attosecond Electron Pulse Trains and Quantum State Reconstruction in Ultrafast Transmission Electron Microscopy}, Author = {Katharina E. Priebe and Christopher Rathje and Sergey V. Yalunin and Thorsten Hohage and Armin Feist and Sascha Sch\"afer and Claus Ropers}, Journal = {Nature Photonics}, Year = {2017}, Pages = {793--797}, Volume = {11}, Doi = {10.1038/s41566-017-0045-8}, Url = {https://arxiv.org/abs/1706.03680} } @Article{arenshohage:05, Title = {On radiation conditions for rough surface scattering problems}, Author = {Tilo Arens and Thorsten Hohage}, Journal = {IMA J. Appl. Math.}, Year = {2005}, Number = {6}, Pages = {839--847}, Volume = {70}, Doi = {10.1093/imamat/hxh065}, Owner = {thohage}, Timestamp = {2016.11.10} } @Article{bauerhohage:05, Title = {A {L}epskij-type stopping rule for regularized {N}ewton methods}, Author = {Frank Bauer and Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2005}, Number = {6}, Pages = {1975--1991}, Volume = {21}, Doi = {10.1088/0266-5611/21/6/011}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/mainPreprint.pdf} } @Article{BH:05b, Title = {A {L}epskij's stopping rule for {N}ewton-type methods with random noise}, Author = {Frank Bauer and Thorsten Hohage}, Journal = {PAMM}, Year = {2005}, Pages = {15--18}, Volume = {5}, Doi = {10.1002/pamm.200510005}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://onlinelibrary.wiley.com/doi/10.1002/pamm.200510005/epdf} } @Article{bauerhohagemunk:09, Title = {Iteratively regularized {G}auss-{N}ewton method for nonlinear inverse problems with random noise}, Author = {Frank Bauer and Thorsten Hohage and Axel Munk}, Journal = {SIAM J. Numer. Anal.}, Year = {2009}, Number = {3}, Pages = {1827--1846}, Volume = {47}, Doi = {10.1137/080721789}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/main.pdf} } @Article{bissantzhohagemunk:04, Title = {Consistency and rates of convergence of nonlinear {T}ikhonov regularization with random noise}, Author = {Nicolai Bissantz and Thorsten Hohage and Axel Munk}, Journal = {Inverse Problems}, Year = {2004}, Number = {6}, Pages = {1773--1789}, Volume = {20}, Doi = {10.1088/0266-5611/20/6/005}, Owner = {thohage}, Timestamp = {2016.11.10} } @Article{bissantzhohagemunkruymgaart:07, Title = {Convergence rates of general regularization methods for statistical inverse problems and applications}, Author = {Nicolai Bissantz and Thorsten Hohage and Axel Munk and Fritz Ruymgaart}, Journal = {SIAM J. Numer. Anal.}, Year = {2007}, Number = {6}, Pages = {2610--2636}, Volume = {45}, Doi = {10.1137/060651884}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/preprint.pdf} } @Article{DFHJM:14, Title = {Iterative estimation of solutions to noisy nonlinear operator equations in nonparametric instrumental regression }, Author = {Fabian Dunker and Jean-Pierre Florens and Thorsten Hohage and Jan Johannes and Enno Mammen}, Journal = {Journal of Econometrics }, Year = {2014}, Pages = {444--455}, Volume = {178}, Doi = {10.1016/j.jeconom.2013.06.001}, Owner = {Hohage}, Timestamp = {2014.03.16}, Url = {https://arxiv.org/abs/1307.6701} } @Article{DH:14, Title = {On parameter identification in stochastic differential equations by penalized maximum likelihood}, Author = {Fabian Dunker and Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2014}, Pages = {095001:20pp}, Volume = {30}, Doi = {10.1088/0266-5611/30/9/095001}, Owner = {Hohage}, Timestamp = {2014.07.07}, Url = {https://arxiv.org/abs/1404.0651} } @Article{FGHB:14, Title = {Generalization of the noise model for time-distance helioseismology}, Author = {Damien Fournier and Laurent Gizon and Thorsten Hohage and Aaron Birch}, Journal = {Astronomy \& Astrophysics}, Year = {2014}, Pages = {A317:20pp}, Volume = {567}, Doi = {10.1051/0004-6361/201423580}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1406.5335} } @Article{FGHH:16, Title = {Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows}, Author = {Damien Fournier and Laurent Gizon and Martin Holzke and Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2016}, Number = {10}, Pages = {105002:27pp}, Volume = {32}, Doi = {10.1088/0266-5611/32/10/105002}, Owner = {thohage}, Timestamp = {2016.08.08}, Url = {https://arxiv.org/abs/1503.09084} } @Article{FHM:14, Title = {Asymptotic laws for change point estimation in inverse regression}, Author = {Sophie Frick and Thorsten Hohage and Axel Munk}, Journal = {Statistica Sinica}, Year = {2014}, Number = {2}, Pages = {555--575}, Volume = {24}, Doi = {10.5705/ss.2012.007}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://www3.stat.sinica.edu.tw/statistica/j24n2/j24n23/j24n23.html} } @Article{gizon_etal:17, Title = {Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows}, Author = {Laurent Gizon and Hélène Barucq and Marc Duruflé and Chris Hanson and Michael Leguèbe and Aaron Birch and Juliette Chabassier and Damien Fournier and Thorsten Hohage and Emanuele Papini}, Journal = {Astronomy \& Astrophysics}, Year = {2017}, volume = 600, pages = {A35}, Doi = {10.1051/0004-6361/201629470}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {https://arxiv.org/abs/1611.01666} } @Article{HH:01, Title = {New Stability estimates for the inverse acoustic inhomogeneous medium problem and applications}, Author = {Peter H\"ahner and Thorsten Hohage}, Journal = {SIAM J. Math. Anal.}, Year = {2001}, Pages = {670--685}, Volume = {62}, Doi = {10.1137/S0036141001383564}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://epubs.siam.org/doi/abs/10.1137/S0036141001383564} } @Article{Hagemann_etal:14, Title = {Wave Front Reconstruction for Extended hard X-ray Beams from a set of Detection Planes}, Author = {J. Hagemann and A. L. Robisch and D. R. Luke and C. Homann and T. Hohage and P. Cloetens and H. Suhonen and T. Salditt}, Journal = {Optics Express}, Year = {2014}, Pages = {11552--11569}, Volume = {22}, Doi = {10.1364/OE.22.011552}, Issue = {10}, Owner = {Hohage}, Timestamp = {2014.05.27}, Url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-22-10-11552} } @Article{HHNS:16, Title = {{H}ardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs}, Author = {Martin Halla and Thorsten Hohage and Lothar Nannen and Joachim Sch\"oberl}, Journal = {Numer. Math.}, Year = {2016}, Pages = {103--139}, Volume = {133}, Doi = {10.1007/s00211-015-0739-0}, Fjournal = {Numerische Mathematik}, Owner = {Hohage}, Publisher = {Springer Berlin Heidelberg}, Timestamp = {2015.06.22}, Url = {www.asc.tuwien.ac.at/preprint/2014/asc18x2014.pdf} } @Article{harbrechthohage:09, Title = {A {N}ewton method for reconstructing non star-shaped domains in electrical impedance tomography}, Author = {Helmut Harbrecht and Thorsten Hohage}, Journal = {Inverse Probl. Imaging}, Year = {2009}, Number = {2}, Pages = {353--371}, Volume = {3}, Doi = {10.3934/ipi.2009.3.353}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/paper.pdf} } @Article{harbrechthohage:07, Title = {Fast methods for three-dimensional inverse obstacle scattering problems}, Author = {Helmut Harbrecht and Thorsten Hohage}, Journal = {J. Integral Equations Appl.}, Year = {2007}, Number = {3}, Pages = {237--260}, Volume = {19}, Doi = {10.1216/jiea/1190905486}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/2005_35.pdf} } @Article{heinhohagekoch:04, Title = {On resonances in open systems}, Author = {Stefan Hein and Thorsten Hohage and Werner Koch}, Journal = {J. Fluid Mech.}, Year = {2004}, Pages = {255--284}, Volume = {506}, Doi = {10.1017/S0022112004008584}, Owner = {thohage}, Timestamp = {2016.11.10} } @Article{heihhohagekochschoeberl:07, Title = {Acoustic resonances in a high-lift configuration}, Author = {Stefan Hein and Thorsten Hohage and Werner Koch and Joachim Sch{\"o}berl}, Journal = {J. Fluid Mech.}, Year = {2007}, Pages = {179--202}, Volume = {582}, Doi = {10.1017/S0022112007005770}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/heinetal.pdf} } @Article{hohage:05, Title = {Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem}, Author = {Thorsten Hohage}, Journal = {J. Comput. Phys.}, Year = {2006}, Number = {1}, Pages = {224--238}, Volume = {214}, Doi = {10.1016/j.jcp.2005.09.025}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/2005_34.pdf} } @InProceedings{hohage:05a, Title = {An iterative method for inverse medium scattering problems based on factorization of the far field operator}, Author = {Thorsten Hohage}, Booktitle = {The 2nd International Converence on Inverse Problems: Recent Theoretical Development and Numerical Approaches. Fudan University, Shanghai}, Year = {2005}, Address = {London}, Pages = {33--45}, Publisher = {IOP}, Series = {Journal of Physics: Conference Series}, Volume = {12}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://stacks.iop.org/1742-6596/12/i=1/a=004} } @Article{hohage:01, Title = {On the numerical solution of a three-dimensional inverse medium scattering problem}, Author = {Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2001}, Pages = {1743--1763}, Volume = {17}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://stacks.iop.org/0266-5611/17/i=6/a=314} } @Article{hohage:00, Title = {Regularization of Exponentially ill-posed Problems}, Author = {Thorsten Hohage}, Journal = {Numer. Funct. Anal. Optim.}, Year = {2000}, Pages = {439--464}, Volume = {21}, Doi = {10.1080/01630560008816965}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://www.sfb013.uni-linz.ac.at/reports/1999/ps-files/sfb99-19.ps.gz} } @PhdThesis{hohage:99a, Title = {Iterative Methods in Inverse Obstacle Scattering: Regularization Theory of Linear and Nonlinear Exponentially ill-posed Problems}, Author = {Thorsten Hohage}, School = {University of Linz}, Year = {1999}, Owner = {thohage}, Publisher = {Trauner Verlag, Linz}, Timestamp = {2016.04.22}, Url = {http://num.math.uni-goettingen.de/hohage/diss.pdf} } @Article{hohage:98, Title = {Convergence Rates of a Regularized {N}ewton Method in Sound-Hard Inverse Scattering}, Author = {Thorsten Hohage}, Journal = {SIAM J. Numer. Anal.}, Year = {1998}, Pages = {125--142}, Volume = {36}, Doi = {10.1137/S0036142997327750}, Owner = {thohage}, Timestamp = {2016.04.22} } @Article{hohage:97, Title = {Logarithmic Convergence Rates of the iteratively regularized {G}auss-{N}ewton method for an inverse potential and an inverse scattering problem}, Author = {Thorsten Hohage}, Journal = {Inverse Problems}, Year = {1997}, Pages = {1279--1299}, Volume = {13}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://stacks.iop.org/0266-5611/13/i=5/a=012} } @PhdThesis{hohage:96, Title = {{N}ewton-{V}erfahren beim inversen {N}eumann-{P}roblem zur {H}elmholtz-{G}leichung}, Author = {Thorsten Hohage}, School = {University of G\"ottingen}, Year = {1996}, Note = {Diplomarbeit}, Owner = {thohage}, Timestamp = {2016.11.11}, Url = {http://num.math.uni-goettingen.de/hohage/diplom.pdf} } @Article{hohagegiewekemeyersalditt:08, Title = {Iterative reconstruction of a refractive index from x-ray or neutron reflectivity measurements}, Author = {Thorsten Hohage and Klaus Giewekemeyer and Tim Salditt}, Journal = {Physical Review E.}, Year = {2008}, Pages = {051604}, Volume = {77}, Doi = {10.1103/PhysRevE.77.051604}, Owner = {thohage}, Timestamp = {2016.11.10} } @Article{HL:10, Title = {Acceleration techniques for regularized {N}ewton methods applied to electromagnetic inverse medium scattering problems}, Author = {Thorsten Hohage and Stefan Langer}, Journal = {Inverse Problems}, Year = {2010}, Pages = {074011:15pp}, Volume = {26}, Doi = {10.1088/0266-5611/26/7/074011}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1003.4472} } @Article{HN:15, Title = {Convergence of infinite element methods for scalar waveguide problems}, Author = {Thorsten Hohage and Lothar Nannen}, Journal = {{BIT} Numer. Math.}, Year = {2015}, Number = {1}, Pages = {215--254}, Volume = {55}, Doi = {0.1007/s10543-014-0525-x}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1409.6450} } @Article{HN:09, Title = {{H}ardy space infinite elements for scattering and resonance problems}, Author = {Thorsten Hohage and Lothar Nannen}, Journal = {SIAM J. Numer. Anal.}, Year = {2009}, Pages = {972--996}, Volume = {47}, Doi = {10.1137/070708044}, File = {:..\\documents\\2009\\HohageNannen2009.pdf:PDF}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/nannen/HardyIE.pdf} } @Article{hohagepricop:08, Title = {Nonlinear {T}ikhonov regularization in {H}ilbert scales for inverse boundary value problems with random noise}, Author = {Thorsten Hohage and Mihaela Pricop}, Journal = {Inverse Probl. Imaging}, Year = {2008}, Number = {2}, Pages = {271--290}, Volume = {2}, Doi = {10.3934/ipi.2008.2.271}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/HilbertScale12_article.pdf} } @Article{MR3397426, Title = {A coherence enhancing penalty for diffusion {MRI}: Regularizing property and discrete approximation}, Author = {Thorsten Hohage and Christoph R{\"u}gge}, Journal = {SIAM J. Imaging Sci.}, Year = {2015}, Number = {3}, Pages = {1874--1893}, Volume = {8}, Doi = {10.1137/140998767}, Fjournal = {SIAM Journal on Imaging Sciences}, Owner = {thohage}, Timestamp = {2015.10.29}, Url = {https://arxiv.org/abs/1412.1439} } @Article{hohagerapunsayas:07, Title = {Detecting corrosion using thermal measurements}, Author = {Thorsten Hohage and Marie-Luisa Rapun and Francisco-Javier Sayas}, Journal = {Inverse Problems}, Year = {2007}, Number = {1}, Pages = {53--72}, Volume = {23}, Doi = {10.1088/0266-5611/23/1/003}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/HohageRapunSayas.pdf} } @Article{hohagesayas:05, Title = {Numerical solution of a heat diffusion problem by boundary element methods using the {L}aplace transform}, Author = {Thorsten Hohage and Francisco-Javier Sayas}, Journal = {Numerische Mathematik}, Year = {2005}, Number = {1}, Pages = {67--92}, Volume = {102}, Doi = {10.1007/s00211-005-0645-y}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/hohage_sayas.pdf} } @InProceedings{HSZ:02a, Title = {A new method for the solution of scattering problems}, Author = {Thorsten Hohage and Frank Schmidt and Lin Zschiedrich}, Booktitle = {Proceedings of the European Symposium on Numerical Methods in Electromagnetics: JEE 02}, Year = {2002}, Address = {Toulouse}, Editor = {Bas Michielsen and Francine Decav\`ele}, Note = {ONERA, Toulouse}, Organization = {ONERA}, Pages = {251--256}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://www.num.math.uni-goettingen.de/hohage/pole_num.pdf} } @Article{hohageschmidtzschiedrich:03a, Title = {Solving time-harmonic scattering problems based on the pole condition. {I}. {T}heory}, Author = {Thorsten Hohage and Frank Schmidt and Lin Zschiedrich}, Journal = {SIAM J. Math. Anal.}, Year = {2003}, Number = {1}, Pages = {183--210}, Volume = {35}, Doi = {10.1137/S0036141002406473}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.28.4891&rep=rep1&type=pdf} } @Article{hohageschmidtzschiedrich:03b, Title = {Solving time-harmonic scattering problems based on the pole condition. {II}. {C}onvergence of the {PML} method}, Author = {Thorsten Hohage and Frank Schmidt and Lin Zschiedrich}, Journal = {SIAM J. Math. Anal.}, Year = {2003}, Number = {3}, Pages = {547--560}, Volume = {35}, Doi = {10.1137/S0036141002406485}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {https://www.researchgate.net/profile/Thorsten_Hohage/publication/2405984_Solving_time-harmonic_scattering_problems_based_on_the_pole_condition_-_II_Convergence_of_the_PML_method/links/0c960516bb42858b31000000.pdf} } @Article{HoSchor:98, Title = {A {N}ewton-type method for a transmission problem in inverse scattering}, Author = {Thorsten Hohage and Christoph Schormann}, Journal = {Inverse Problems}, Year = {1998}, Pages = {1207--1227}, Volume = {14}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://stacks.iop.org/0266-5611/14/i=5/a=008} } @Article{HS:13, Title = {Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides}, Author = {Thorsten Hohage and Sofiane Soussi}, Journal = {J. Math. Pures Appl. (9)}, Year = {2013}, Number = {1}, Pages = {113--135}, Volume = {100}, Doi = {10.1016/j.matpur.2012.10.013}, Fjournal = {Journal de Math\'ematiques Pures et Appliqu\'ees. Neuvi\`eme S\'erie}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1010.1738} } @Article{HW:17, Title = {Characterizations of variational source conditions, converse results, and maxisets of spectral regularization methods}, Author = {Thorsten Hohage and Frederic Weidling}, Journal = {SIAM J. Numer. Anal.}, Year = {2017}, Number = {2}, Pages = {598--620}, Volume = {55}, Doi = {10.3934/ipi.2017010}, Eprint = {1603.05133}, Oai2identifier = {1603.05133}, Owner = {fweidli}, Timestamp = {2016.03.24}, Url = {http://arxiv.org/abs/1603.05133} } @Article{Hohage2015a, Title = {Verification of a variational source condition for acoustic inverse medium scattering problems}, Author = {Thorsten Hohage and Frederic Weidling}, Journal = {Inverse Problems}, Year = {2015}, Number = {7}, Pages = {075006:14pp}, Volume = {31}, Doi = {10.1088/0266-5611/31/7/075006}, Url = {https://arxiv.org/abs/1503.05763} } @Article{HW:16, Title = {Inverse Problems with {P}oisson Data: statistical regularization theory, applications and algorithms}, Author = {Thorsten Hohage and Frank Werner}, Journal = {Inverse Problems}, Year = {2016}, Pages = {093001:56pp}, Volume = {32}, Doi = {10.1088/0266-5611/32/9/093001}, Owner = {thohage}, Timestamp = {2016.04.26}, Url = {http://stacks.iop.org/0266-5611/32/i=9/a=093001} } @Article{HW:14, Title = {Convergence Rates for Inverse Problems with Impulsive Noise}, Author = {Thorsten Hohage and Frank Werner}, Journal = {SIAM J. Numer. Anal.}, Year = {2014}, Number = {3}, Pages = {1203--1221}, Volume = {52}, Doi = {10.1137/130932661}, Owner = {Hohage}, Timestamp = {2013.12.07}, Url = {https://arxiv.org/abs/1308.2536} } @Article{HW:13, Title = {Iteratively regularized {N}ewton-type methods for general data misfit functionals and applications to {P}oisson data}, Author = {Thorsten Hohage and Frank Werner}, Journal = {Numer. Math.}, Year = {2013}, Pages = {745--779}, Volume = {123}, Doi = {10.1007/s00211-012-0499-z}, Fjournal = {Numerische Mathematik}, Gkmember = {Werner, Frank}, Owner = {Hohage}, Timestamp = {2013.11.25}, Url = {https://arxiv.org/abs/1105.2690} } @Article{HHHRS:15, Title = {Validity of the empty-beam correction in near-field imaging}, Author = {Carolin Homann and Thorsten Hohage and Johannes Hagemann and Anna-Lena Robisch and Tim Salditt}, Journal = {Physical Review A}, Year = {2015}, Pages = {013821}, Volume = {91}, Doi = {10.1103/PhysRevA.91.013821}, Owner = {Hohage}, Timestamp = {2014.11.30}, Url = {http://link.aps.org/doi/10.1103/PhysRevA.91.013821} } @Article{jackiewitz_etal:12, Title = {Multichannel Three-dimensional {OLA} Inversion for Local Helioseismology Solar Physics}, Author = {Jason Jackiewicz and Aaron C Birch and Laurent Gizon and Shravan Hanasoge and Thorsten Hohage and Jean-B. Ruffio and Michal Svanda}, Journal = {Solar Phys}, Year = {2012}, Pages = {19-33}, Volume = {276}, Doi = {10.1007/s11207-011-9873-8}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1109.2712} } @Article{KWH:16, Title = {Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise}, Author = {Claudia K\"onig and Frank Werner and Thorsten Hohage}, Journal = {SIAM J. Numer. Anal.}, Year = {2016}, Number = {1}, Pages = {341--360}, Volume = {54}, Doi = {10.1137/15M1022252}, Owner = {thohage}, Timestamp = {2015.11.25}, Url = {https://arxiv.org/abs/1506.02126} } @Article{langerhohage:07, Title = {Convergence analysis of an inexact iteratively regularized {G}auss-{N}ewton method under general source conditions}, Author = {Stefan Langer and Thorsten Hohage}, Journal = {J. Inverse Ill-Posed Probl.}, Year = {2007}, Number = {3}, Pages = {311--327}, Volume = {15}, Doi = {10.1515/jiip.2007.017}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/Langer_Hohage.pdf} } @Article{MBKSH:16, Title = {Regularized {N}ewton methods for X-ray phase contrast and general imaging problems}, Author = {Simon Maretzke and Matthias Bartels and Martin Krenkel and Tim Salditt and Thorsten Hohage}, Journal = {Optics Express}, Year = {2016}, Number = {6}, Pages = {6490-6506}, Volume = {24}, Doi = {10.1364/OE.24.006490}, Owner = {thohage}, Timestamp = {2016.02.23}, Url = {https://arxiv.org/abs/1512.06424} } @Article{MH:17, Title = {Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging}, Author = {Simon Maretzke and Thorsten Hohage}, Journal = {SIAM J. Appl. Math.}, Year = {2017}, Number = {2}, Pages = {384--408}, Volume = {77}, Doi = {10.1137/16M1086170}, Eprint = {1607.06627}, Oai2identifier = {1607.06627}, Owner = {thohage}, Timestamp = {2016.08.08}, Url = {http://arxiv.org/abs/1607.06627} } @Article{NHSS:13, Title = {Exact sequences of high order {H}ardy space inifinite elements for exterior {M}axwell problems}, Author = {Lothar Nannen and Thorsten Hohage and Achim Sch\"adle and Joachim Sch\"oberl}, Journal = {SIAM J. Sci. Comput.}, Year = {2013}, Month = {A1024--A1048}, Number = {2}, Pages = {A1024--A1048}, Volume = {35}, Doi = {10.1137/110860148}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1103.2288} } @Article{paarmann_etal:12, Title = {Coherent femtosecond low-energy single-electron pulses for time-resolved diffraction and imaging: A numerical study}, Author = {A. Paarmann and M. Gulde and M. M\"uller and S. Sch\"afer and S. Schweda and M. Maiti and C. Xu and T. Hohage and F. Schenk and C. Ropers and R. Ernstorfer}, Journal = {Journal of Applied Physics}, Year = {2012}, Pages = {113109}, Volume = {112}, Doi = {10.1063/1.4768204}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {http://dx.doi.org/10.1063/1.4768204} } @Article{SHKSZ:08, Title = {Pole condition: A numerical method for {H}elmholtz-type scattering problems with inhomogeneous exterior domain}, Author = {Frank Schmidt and Thorsten Hohage and Roland Klose and Achim Sch\"{a}dle and Lin Zschiedrich}, Journal = {J. Comput. Appl. Math.}, Year = {2008}, Number = {1}, Pages = {61--69}, Volume = {218}, Doi = {10.1016/j.cam.2007.04.046}, Owner = {thohage}, Timestamp = {2016.04.22} } @Article{SH:17, Title = {Semi-Local Tractography Strategies Using Neighborhood Information}, Author = {Helen Schomburg and Thorsten Hohage}, Journal = {Medical Image Analysis}, Volume = {38}, Pages = {165--183}, Year = {2017}, doi = {10.1016/j.media.2017.03.003}, url = {https://authors.elsevier.com/a/1UrFF4rfPluGgp}, Owner = {thohage}, Timestamp = {2016.12.13} } @Article{SBH:12, Title = {The iteratively regularized {G}au{\ss}-{N}ewton method with convex constraints and applications in 4{P}i microscopy}, Author = {Robert St\"uck and Martin Burger and Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2012}, Pages = {015012:16pp}, Volume = {28}, Doi = {10.1088/0266-5611/28/1/015012}, Owner = {thohage}, Timestamp = {2016.04.22}, Url = {https://arxiv.org/abs/1106.5812} } @Article{ueckerhohageblockfrahm:08, Title = {Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content}, Author = {Martin Uecker and Thorsten Hohage and Kai T. Block and Jens Frahm}, Journal = {Magnetic Resonance in Medicine}, Year = {2008}, Pages = {674--682}, Volume = {60}, Doi = {10.1002/mrm.21691}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://www.num.math.uni-goettingen.de/bibi/preprintserie/preprints/hohage/nonlinear-preprint.pdf} } @Article{WH17, Title = {Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems}, Author = {Frederic Weidling and Thorsten Hohage}, Journal = {Inverse Problems and Imaging}, Year = {2017}, Number = {1}, Pages = {203--220}, Volume = {11}, Doi = {10.3934/ipi.2017010}, Url = {http://arxiv.org/abs/1512.06586} } @Article{wernerhohage:12, Title = {Convergence rates in expectation for {T}ikhonov-type regularization of {I}nverse {P}roblems with {P}oisson data}, Author = {Frank Werner and Thorsten Hohage}, Journal = {Inverse Problems}, Year = {2012}, Number = {10}, Pages = {104004:15pp}, Volume = {28}, Doi = {10.1088/0266-5611/28/10/104004}, Owner = {thohage}, Timestamp = {2016.11.10}, Url = {http://arxiv.org/abs/1204.1669} }