RG Hohage (Inverse Problems)

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  • 2023 Preprint
    ​ ​Quantitative passive imaging by iterative holography: The example of helioseismic holography​
    Müller, B.; Hohage, T.; Fournier, D.& Gizon, L.​ (2023)
    Details  arXiv 
  • 2022 Preprint
    ​ ​Phase retrieval and phaseless inverse scattering with background information​
    Hohage, T. ; Novikov, R.& Sivkin, V.​ (2022)
    Details 
  • 2022 Journal Article
    ​ ​Error estimates for variational regularization of inverse problems with general noise models for data and operator​
    Hohage, T.   & Werner, F.​ (2022) 
    Electronic Transactions on Numerical Analysis57 pp. 127​-152​.​ DOI: https://doi.org/10.1553/etna_vol57s127 
    Details  DOI 
  • 2021 Journal Article | 
    ​ ​Maximal spaces for approximation rates in ℓ1-regularization​
    Miller, P. & Hohage, T.​ (2021) 
    Numerische Mathematik149(2) pp. 341​-374​.​ DOI: https://doi.org/10.1007/s00211-021-01225-4 
    Details  DOI 
  • 2021 Journal Article | Research Paper
    ​ ​On the Well-posedness of the Damped Time-harmonic Galbrun Equation and the Equations of Stellar Oscillations​
    Halla, M.   & Hohage, T. ​ (2021) 
    SIAM Journal on Mathematical Analysis53(4) pp. 4068​-4095​.​ DOI: https://doi.org/10.1137/20M1348558 
    Details  DOI 
  • 2021 Journal Article
    ​ ​Variational regularization theory based on image space approximation rates​
    Miller, P.​ (2021) 
    Inverse Problems37(6) pp. 065003​.​ DOI: https://doi.org/10.1088/1361-6420/abf5bb 
    Details  DOI 
  • 2021 Journal Article
    ​ ​Weighted data spaces for correlation-based array imaging in experimental aeroacoustics​
    Raumer, H.-G. ; Spehr, C.; Hohage, T.   & Ernst, D.​ (2021) 
    Journal of Sound and Vibration494 pp. 115878​.​ DOI: https://doi.org/10.1016/j.jsv.2020.115878 
    Details  DOI 
  • 2020 Journal Article | Research Paper | 
    ​ ​Learned infinite elements​
    Hohage, T. ; Lehrenfeld, C.   & Preuß, J.​ (2020) 
    SIAM Journal on Scientific Computing43(5) pp. A3552​-A3579​.​ DOI: https://doi.org/10.1137/20M1381757 
    Details  DOI 
  • 2020 Journal Article
    ​ ​Density matrix reconstructions in ultrafast transmission electron microscopy: uniqueness, stability, and convergence rates​
    Shi, C.; Ropers, C.   & Hohage, T. ​ (2020) 
    Inverse Problems36(2) art. 025005​.​ DOI: https://doi.org/10.1088/1361-6420/ab539a 
    Details  DOI 
  • 2020 Journal Article | Research Paper
    ​ ​Global uniqueness in a passive inverse problem of helioseismology​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2020) 
    Inverse Problems36(5) art. 055004​.​ DOI: https://doi.org/10.1088/1361-6420/ab77d9 
    Details  DOI 
  • 2020 Journal Article | Research Paper
    ​ ​Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces​
    Weidling, F.; Sprung, B. & Hohage, T. ​ (2020) 
    SIAM Journal on Numerical Analysis58(1) pp. 21​-47​.​ DOI: https://doi.org/10.1137/18M1178098 
    Details  DOI 
  • 2020 Journal Article | Research Paper
    ​ ​An Approximate Factorization Method for Inverse Acoustic Scattering with Phaseless Total-Field Data​
    Zhang, B. & Zhang, H. ​ (2020) 
    SIAM Journal on Applied Mathematics80(5) pp. 2271​-2298​.​ DOI: https://doi.org/10.1137/19M1280612 
    Details  DOI 
  • 2020 Journal Article | Research Paper
    ​ ​Uniqueness of an inverse source problem in experimental aeroacoustics​
    Hohage, T. ; Raumer, H.-G.   & Spehr, C.​ (2020) 
    Inverse Problems36(7) art. 075012​.​ DOI: https://doi.org/10.1088/1361-6420/ab8484 
    Details  DOI 
  • 2020 Journal Article
    ​ ​Uniqueness in inverse acoustic and electromagnetic scattering with phaseless near-field data at a fixed frequency​
    Xu, X.; Zhang, B. & Zhang, H. ​ (2020) 
    Inverse Problems and Imaging14(3) pp. 489​-510​.​ DOI: https://doi.org/10.3934/ipi.2020023 
    Details  DOI 
  • 2020 Journal Article | Research Paper | 
    ​ ​Sweeping preconditioners for stratified media in the presence of reflections​
    Preuß, J.; Hohage, T.   & Lehrenfeld, C. ​ (2020) 
    Partial Differential Equations and Applications1(4).​ DOI: https://doi.org/10.1007/s42985-020-00019-x 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​Elastic energy regularization for inverse obstacle scattering problems​
    Eckhardt, J.; Hiptmair, R.; Hohage, T. ; Schumacher, H. & Wardetzky, M. ​ (2019) 
    Inverse Problems35(10) art. 104009​.​ DOI: https://doi.org/10.1088/1361-6420/ab3034 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​Existence, blow-up and exponential decay of solutions for a porous-elastic system with damping and source terms​
    Anh Khoa, V.; Thi Phuong Ngoc, L. & Thanh Long, N.​ (2019) 
    Evolution equations and control theory8(2) pp. 359​-395​.​ DOI: https://doi.org/10.3934/eect.2019019 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​Inverse wave propagation problems without phase information​
    Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems35(7) art. 070301​.​ DOI: https://doi.org/10.1088/1361-6420/ab1aaf 
    Details  DOI 
  • 2019 Journal Article
    ​ ​A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem: The Neumann Case​
    Qu, F.; Zhang, B. & Zhang, H. ​ (2019) 
    SIAM Journal on Scientific Computing41(6) pp. A3673​-A3702​.​ DOI: https://doi.org/10.1137/19M1240745 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces​
    Hohage, T.   & Miller, P.​ (2019) 
    Inverse Problems35(6) art. 065005​.​ DOI: https://doi.org/10.1088/1361-6420/ab0b15 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​An iterative approach to monochromatic phaseless inverse scattering​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2019) 
    Inverse Problems35(2) art. 024001​.​ DOI: https://doi.org/10.1088/1361-6420/aaf097 
    Details  DOI 
  • 2019 Journal Article
    ​ ​Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements​
    Nguyen, H. T.; Khoa, V. A. & Vo, V. A.​ (2019) 
    SIAM Journal on Mathematical Analysis51(1) pp. 60​-85​.​ DOI: https://doi.org/10.1137/18M1174064 
    Details  DOI 
  • 2019 Journal Article | 
    ​ ​Upper and lower bounds for the Bregman divergence​
    Sprung, B.​ (2019) 
    Journal of Inequalities and Applications2019(1) art. 4​.​ DOI: https://doi.org/10.1186/s13660-018-1953-y 
    Details  DOI 
  • 2019 Journal Article | Research Paper
    ​ ​Formulation and Efficient Computation of ${\ell}_{\textsf{1}}$ - and Smoothness Penalized Estimates for Microstructure-Informed Tractography​
    Schomburg, H.   & Hohage, T. ​ (2019) 
    IEEE Transactions on Medical Imaging38(8) pp. 1899​-1909​.​ DOI: https://doi.org/10.1109/TMI.2019.2902787 
    Details  DOI  PMID  PMC 
  • 2018 Journal Article | Research Paper
    ​ ​Monochromatic Identities for the Green Function and Uniqueness Results for Passive Imaging​
    Agaltsov, A. D.; Hohage, T.   & Novikov, R. G.​ (2018) 
    SIAM Journal on Applied Mathematics78(5) pp. 2865​-2890​.​ DOI: https://doi.org/10.1137/18M1182218 
    Details  DOI 
  • 2018 Journal Article | Research Paper
    ​ ​Automatic alignment for three-dimensional tomographic reconstruction​
    van Leeuwen, T.; Maretzke, S. & Batenburg, K J.​ (2018) 
    Inverse Problems34(2) art. 024004​.​ DOI: https://doi.org/10.1088/1361-6420/aaa0f8 
    Details  DOI 
  • 2018 Journal Article | Research Paper
    ​ ​Cryogenic electron tomography reconstructions from phaseless data​
    Zickert, G. & Maretzke, S.​ (2018) 
    Inverse Problems34(12) art. 124001​.​ DOI: https://doi.org/10.1088/1361-6420/aade22 
    Details  DOI 
  • 2018 Journal Article | Research Paper
    ​ ​Locality estimates for Fresnel-wave-propagation and stability of x-ray phase contrast imaging with finite detectors​
    Maretzke, S.​ (2018) 
    Inverse Problems34(12) art. 124004​.​ DOI: https://doi.org/10.1088/1361-6420/aae78f 
    Details  DOI 
  • 2018 Journal Article | Research Paper
    ​ ​Higher order convergence rates for Bregman iterated variational regularization of inverse problems​
    Sprung, B. & Hohage, T. ​ (2018) 
    Numerische Mathematik141(1) pp. 215​-252​.​ DOI: https://doi.org/10.1007/s00211-018-0987-x 
    Details  DOI 
  • 2017 Journal Article | Research Paper
    ​ ​An eigenvalue approach for the automatic scaling of unknowns in model-based reconstructions: Application to real-time phase-contrast flow MRI​
    Tan, Z.; Hohage, T. ; Kalentev, O.; Joseph, A. A.; Wang, X.; Voit, D. & Merboldt, K. D. et al.​ (2017) 
    NMR in Biomedicine30(12) art. e3835​.​ DOI: https://doi.org/10.1002/nbm.3835 
    Details  DOI  PMID  PMC 
  • 2017 Journal Article | Research Paper
    ​ ​Application of the cut-off projection to solve a backward heat conduction problem in a two-slab composite system​
    Tuan, N. H.; Khoa, V. A.; Truong, M. T. N.; Hung, T. T. & Minh, M. N.​ (2017) 
    Inverse Problems in Science and Engineering27(4) pp. 460​-483​.​ DOI: https://doi.org/10.1080/17415977.2018.1470623 
    Details  DOI  arXiv 
  • 2017 Journal Article
    ​ ​Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging​
    Maretzke, S.   & Hohage, T. ​ (2017) 
    SIAM Journal on Applied Mathematics77(2) pp. 384​-408​.​ DOI: https://doi.org/10.1137/16M1086170 
    Details  DOI 
  • 2017 Journal Article | Research Paper
    ​ ​Attosecond electron pulse trains and quantum state reconstruction in ultrafast transmission electron microscopy​
    Priebe, K. E. ; Rathje, C.; Yalunin, S. V. ; Hohage, T. ; Feist, A. ; Schäfer, S.   & Ropers, C. ​ (2017) 
    Nature Photonics11(12) pp. 793​-797​.​ DOI: https://doi.org/10.1038/s41566-017-0045-8 
    Details  DOI  arXiv 
  • 2017 Journal Article
    ​ ​Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems​
    Weidling, F.   & Hohage, T. ​ (2017) 
    Inverse Problems and Imaging11(1) pp. 203​-220​.​ DOI: https://doi.org/10.3934/ipi.2017010 
    Details  DOI 
  • 2017 Journal Article | 
    ​ ​Computational helioseismology in the frequency domain: acoustic waves in axisymmetric solar models with flows​
    Gizon, L. ; Barucq, H.; Duruflé, M.; Hanson, C.; Leguèbe, M.; Birch, A. C.   & Chabassier, J. et al.​ (2017) 
    Astronomy & Astrophysics600 pp. 1​-23​.​ DOI: https://doi.org/10.1051/0004-6361/201629470 
    Details  DOI 
  • 2017 Journal Article
    ​ ​Semi-local tractography strategies using neighborhood information​
    Schomburg, H.   & Hohage, T. ​ (2017) 
    Medical Image Analysis38 pp. 165​-183​.​ DOI: https://doi.org/10.1016/j.media.2017.03.003 
    Details  DOI  PMID  PMC 
  • 2016 Journal Article | Research Paper | 
    ​ ​Regularized Newton methods for x-ray phase contrast and general imaging problems​
    Maretzke, S. ; Bartels, M. ; Krenkel, M.; Salditt, T.   & Hohage, T. ​ (2016) 
    Optics Express24(6) pp. 6490​-6506​.​ DOI: https://doi.org/10.1364/OE.24.006490 
    Details  DOI  PMID  PMC  WoS 
  • 2016 Journal Article
    ​ ​Pinsker estimators for local helioseismology: inversion of travel times for mass-conserving flows​
    Fournier, D. ; Gizon, L. ; Holzke, M. & Hohage, T. ​ (2016) 
    Inverse Problems32(10) pp. 1​-27​.​ DOI: https://doi.org/10.1088/0266-5611/32/10/105002 
    Details  DOI 
  • 2016 Journal Article
    ​ ​Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms​
    Hohage, T.   & Werner, F. ​ (2016) 
    Inverse Problems32.​ DOI: https://doi.org/10.1088/0266-5611/32/9/093001 
    Details  DOI 
  • 2016 Journal Article
    ​ ​Convergence Rates for Exponentially Ill-Posed Inverse Problems with Impulsive Noise​
    König, C.; Werner, F.   & Hohage, T. ​ (2016) 
    SIAM Journal on Numerical Analysis54(1) pp. 341​-360​.​ DOI: https://doi.org/10.1137/15M1022252 
    Details  DOI 
  • 2016 Journal Article
    ​ ​Hardy space infinite elements for time harmonic wave equations with phase and group velocities of different signs​
    Halla, M. ; Hohage, T. ; Nannen, L. & Schöberl, J.​ (2016) 
    Numer. Math.133 pp. 103​-139​.​ DOI: https://doi.org/10.1007/s00211-015-0739-0 
    Details  DOI 
  • 2015 Journal Article | Research Paper | 
    ​ ​Validity of the empty-beam correction in near-field imaging​
    Homann, C.; Hohage, T. ; Hagemann, J.; Robisch, A.-L. & Salditt, T. ​ (2015) 
    Physical Review. A91(1) art. 013821​.​ DOI: https://doi.org/10.1103/PhysRevA.91.013821 
    Details  DOI 
  • 2015 Journal Article | Research Paper
    ​ ​On convergence rates for iteratively regularized Newton-type methods under a Lipschitz-type nonlinearity condition​
    Werner, F.​ (2015) 
    Journal of Inverse and Ill-posed Problems23(1).​ DOI: https://doi.org/10.1515/jiip-2013-0074 
    Details  DOI 
  • 2015 Journal Article
    ​ ​Convergence of infinite element methods for scalar waveguide problems​
    Hohage, T.   & Nannen, L.​ (2015) 
    BIT Numerical Mathematics55(1) pp. 215​-254​.​ DOI: https://doi.org/10.1007/s10543-014-0525-x 
    Details  DOI 
  • 2015 Journal Article | Research Paper
    ​ ​A coherence enhancing penalty for diffusion MRI: Regularizing property and discrete approximation​
    Hohage, T.   & Rügge, C. ​ (2015) 
    SIAM J. Imaging Sci.8(3) pp. 1874​-1893​.​ DOI: https://doi.org/10.1137/140998767 
    Details  DOI 
  • 2015 Journal Article
    ​ ​Verification of a variational source condition for acoustic inverse medium scattering problems​
    Hohage, T.   & Weidling, F. ​ (2015) 
    Inverse Problems31(7) art. 075006​.​ DOI: https://doi.org/10.1088/0266-5611/31/7/075006 
    Details  DOI 
  • 2015 Journal Article
    ​ ​A uniqueness result for propagation-based phase contrast imaging from a single measurement​
    Maretzke, S. ​ (2015) 
    Inverse Problems31(6) art. 065003​.​ DOI: https://doi.org/10.1088/0266-5611/31/6/065003 
    Details  DOI  WoS 
  • 2014 Journal Article | Research Paper | 
    ​ ​Reconstruction of wave front and object for inline holography from a set of detection planes​
    Hagemann, J. ; Robisch, A.-L. ; Luke, D. R. ; Homann, C.; Hohage, T. ; Cloetens, P. & Suhonen, H. et al.​ (2014) 
    Optics Express22(10) pp. 11552​-11569​.​ DOI: https://doi.org/10.1364/OE.22.011552 
    Details  DOI  PMID  PMC  WoS 
  • 2014 Journal Article
    ​ ​Iterative estimation of solutions to noisy nonlinear operator equations in nonparametric instrumental regression​
    Dunker, F.; Florens, J.-P.; Hohage, T. ; Johannes, J. & Mammen, E.​ (2014) 
    Journal of Econometrics178 pp. 444​-455​.​ DOI: https://doi.org/10.1016/j.jeconom.2013.06.001 
    Details  DOI 
  • 2014 Journal Article
    ​ ​Convergence Rates for Inverse Problems with Impulsive Noise​
    Hohage, T.   & Werner, F. ​ (2014) 
    SIAM Journal on Numerical Analysis52(3) pp. 1203​-1221​.​ DOI: https://doi.org/10.1137/130932661 
    Details  DOI 
  • 2014 Journal Article
    ​ ​On parameter identification in stochastic differential equations by penalized maximum likelihood​
    Dunker, F. & Hohage, T. ​ (2014) 
    Inverse Problems30(9) pp. 1​-20​.​ DOI: https://doi.org/10.1088/0266-5611/30/9/095001 
    Details  DOI 
  • 2014 Journal Article | 
    ​ ​Generalization of the noise model for time-distance helioseismology​
    Fournier, D. ; Gizon, L. ; Hohage, T.   & Birch, A. C. ​ (2014) 
    Astronomy & Astrophysics567 art. 137​.​ DOI: https://doi.org/10.1051/0004-6361/201423580 
    Details  DOI 
  • 2014 Journal Article | 
    ​ ​Asymptotic laws for change point estimation in inverse regression​
    Frick, S.; Hohage, T.   & Munk, A. ​ (2014) 
    Statistica Sinica24(2) pp. 555​-575​.​ DOI: https://doi.org/10.5705/ss.2012.007 
    Details  DOI  WoS 
  • 2013 Journal Article
    ​ ​Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides​
    Hohage, T.   & Soussi, S.​ (2013) 
    J. Math. Pures Appl. (9)100(1) pp. 113​-135​.​ DOI: https://doi.org/10.1016/j.matpur.2012.10.013 
    Details  DOI 
  • 2013 Journal Article
    ​ ​Exact sequences of high order Hardy space inifinite elements for exterior Maxwell problems​
    Nannen, L.; Hohage, T. ; Schädle, A. & Schöberl, J.​ (2013) 
    SIAM Journal on Scientific Computing35(2) pp. A1024​-A1048​.​ DOI: https://doi.org/10.1137/110860148 
    Details  DOI 
  • 2013 Journal Article | 
    ​ ​Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data​
    Hohage, T.   & Werner, F. ​ (2013) 
    Numerische Mathematik123(4) pp. 745​-779​.​ DOI: https://doi.org/10.1007/s00211-012-0499-z 
    Details  DOI 
  • 2012 Journal Article
    ​ ​Convergence rates in expectation for Tikhonov-type regularization of Inverse Problems with Poisson data​
    Werner, F. & Hohage, T. ​ (2012) 
    Inverse Problems28(10).​ DOI: https://doi.org/10.1088/0266-5611/28/10/104004 
    Details  DOI 
  • 2012 Journal Article
    ​ ​Coherent femtosecond low-energy single-electron pulses for time-resolved diffraction and imaging: A numerical study​
    Paarmann, A.; Gulde, M.; Mueller, M. ; Schäfer, S. ; Schweda, S. ; Maiti, M.   & Xu, C. et al.​ (2012) 
    Journal of Applied Physics112(11).​ DOI: https://doi.org/10.1063/1.4768204 
    Details  DOI 
  • 2012 Journal Article
    ​ ​The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy​
    Stück, R.; Burger, M. & Hohage, T. ​ (2012) 
    Inverse Problems28.​ DOI: https://doi.org/10.1088/0266-5611/28/1/015012 
    Details  DOI 
  • 2012 Journal Article | 
    ​ ​Multichannel Three-dimensional OLA Inversion for Local Helioseismology Solar Physics​
    Jackiewicz, J.; Birch, A. C. ; Gizon, L. ; Hanasoge, S.; Hohage, T. ; Ruffio, J. & Švanda, M.​ (2012) 
    Solar Phys276 pp. 19​-33​.​ DOI: https://doi.org/10.1007/s11207-011-9873-8 
    Details  DOI 
  • 2010 Journal Article
    ​ ​Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems​
    Hohage, T.   & Langer, S.​ (2010) 
    Inverse Problems26(7) pp. 1​-15​.​ DOI: https://doi.org/10.1088/0266-5611/26/7/074011 
    Details  DOI 
  • 2009 Journal Article
    ​ ​A Newton method for reconstructing non star-shaped domains in electrical impedance tomography​
    Harbrecht, H. & Hohage, T. ​ (2009) 
    Inverse Probl. Imaging3(2) pp. 353​-371​.​ DOI: https://doi.org/10.3934/ipi.2009.3.353 
    Details  DOI 
  • 2009 Journal Article
    ​ ​Hardy space infinite elements for scattering and resonance problems​
    Hohage, T.   & Nannen, L.​ (2009) 
    SIAM J. Numer. Anal.47 pp. 972​-996​.​ DOI: https://doi.org/10.1137/070708044 
    Details  DOI 
  • 2009 Journal Article | Research Paper
    ​ ​Complexity analysis of the iteratively regularized Gauss–Newton method with inner CG-iteration​
    Langer, S.​ (2009) 
    Journal of Inverse and Ill-posed Problems17(9).​ DOI: https://doi.org/10.1515/JIIP.2009.051 
    Details  DOI 
  • 2009 Journal Article | 
    ​ ​The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications​
    Gilliam, D. S.; Hohage, T. ; Ji, X. & Ruymgaart, F.​ (2009) 
    International Journal of Mathematics and Mathematical Sciences2009 art. 239025​.​ DOI: https://doi.org/10.1155/2009/239025 
    Details  DOI 
  • 2009 Journal Article | 
    ​ ​Iteratively regularized Gauss-Newton method for nonlinear inverse problems with random noise​
    Bauer, F. ; Hohage, T.   & Munk, A. ​ (2009) 
    SIAM Journal on Numerical Analysis47(3) pp. 1827​-1846​.​ DOI: https://doi.org/10.1137/080721789 
    Details  DOI  WoS 
  • 2008 Journal Article | Research Paper
    ​ ​Iterative reconstruction of a refractive-index profile from x-ray or neutron reflectivity measurements​
    Hohage, T. ; Giewekemeyer, K.   & Salditt, T. ​ (2008) 
    Physical Review E77(5) art. 051604​.​ DOI: https://doi.org/10.1103/PhysRevE.77.051604 
    Details  DOI  PMID  PMC  WoS 
  • 2008 Journal Article
    ​ ​Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content​
    Uecker, M. ; Hohage, T. ; Block, K. T. & Frahm, J. ​ (2008) 
    Magnetic Resonance in Medicine60(3) pp. 674​-682​.​ DOI: https://doi.org/10.1002/mrm.21691 
    Details  DOI 
  • 2008 Journal Article
    ​ ​Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise​
    Hohage, T.   & Pricop, M. ​ (2008) 
    Inverse Problems and Imaging2(2) pp. 271​-290​.​ DOI: https://doi.org/10.3934/ipi.2008.2.271 
    Details  DOI 
  • 2008 Journal Article
    ​ ​Pole condition: A numerical method for Helmholtz-type scattering problems with inhomogeneous exterior domain​
    Schmidt, F.; Hohage, T. ; Klose, R.; Schädle, A. & Zschiedrich, L.​ (2008) 
    Journal of Computational and Applied Mathematics218(1) pp. 61​-69​.​ DOI: https://doi.org/10.1016/j.cam.2007.04.046 
    Details  DOI 
  • 2007 Journal Article
    ​ ​Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions​
    Langer, S. & Hohage, T. ​ (2007) 
    J. Inverse Ill-Posed Probl.15(3) pp. 311​-327​.​ DOI: https://doi.org/10.1515/jiip.2007.017 
    Details  DOI 
  • 2007 Journal Article
    ​ ​Convergence rates of general regularization methods for statistical inverse problems and applications​
    Bissantz, N.; Hohage, T. ; Munk, A.   & Ruymgaart, F.​ (2007) 
    SIAM Journal on Numerical Analysis45(6) pp. 2610​-2636​.​ DOI: https://doi.org/10.1137/060651884 
    Details  DOI  WoS 
  • 2007 Journal Article
    ​ ​Detecting corrosion using thermal measurements​
    Hohage, T. ; Rapun, M.-L. & Sayas, F.-J.​ (2007) 
    Inverse Problems23(1) pp. 53​-72​.​ DOI: https://doi.org/10.1088/0266-5611/23/1/003 
    Details  DOI 
  • 2007 Journal Article
    ​ ​Acoustic resonances in a high-lift configuration​
    Hein, S. ; Hohage, T. ; Koch, W.   & Schöberl, J.​ (2007) 
    J. Fluid Mech.582 pp. 179​-202​.​ DOI: https://doi.org/10.1017/S0022112007005770 
    Details  DOI 
  • 2007 Journal Article
    ​ ​Fast methods for three-dimensional inverse obstacle scattering problems​
    Harbrecht, H. & Hohage, T. ​ (2007) 
    J. Integral Equations Appl.19(3) pp. 237​-260​.​ DOI: https://doi.org/10.1216/jiea/1190905486 
    Details  DOI 
  • 2006 Journal Article
    ​ ​Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem​
    Hohage, T. ​ (2006) 
    J. Comput. Phys.214(1) pp. 224​-238​.​ DOI: https://doi.org/10.1016/j.jcp.2005.09.025 
    Details  DOI 
  • 2005 Journal Article
    ​ ​On radiation conditions for rough surface scattering problems​
    Arens, T. & Hohage, T. ​ (2005) 
    IMA Journal of Applied Mathematics70(6) pp. 839​-847​.​ DOI: https://doi.org/10.1093/imamat/hxh065 
    Details  DOI 
  • 2005 Journal Article
    ​ ​A Lepskij-type stopping rule for regularized Newton methods​
    Bauer, F.   & Hohage, T. ​ (2005) 
    Inverse Problems21(6) pp. 1975​-1991​.​ DOI: https://doi.org/10.1088/0266-5611/21/6/011 
    Details  DOI 
  • 2005 Conference Paper
    ​ ​An iterative method for inverse medium scattering problems based on factorization of the far field operator​
    Hohage, T. ​ (2005)
    ​The 2nd International Converence on Inverse Problems: Recent Theoretical Development and Numerical Approaches. Fudan University, Shanghai pp. 33​-45. (Vol. 12). 
    London​: IOP.
    Details 
  • 2005 Journal Article
    ​ ​Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform​
    Hohage, T.   & Sayas, F.​ (2005) 
    Numerische Mathematik102(1) pp. 67​-92​.​ DOI: https://doi.org/10.1007/s00211-005-0645-y 
    Details  DOI 
  • 2004 Journal Article
    ​ ​Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise​
    Bissantz, N.; Hohage, T.   & Munk, A. ​ (2004) 
    Inverse Problems20(6) pp. 1773​-1789​.​ DOI: https://doi.org/10.1088/0266-5611/20/6/005 
    Details  DOI  WoS 
  • 2004 Journal Article
    ​ ​On resonances in open systems​
    Hein, S. ; Hohage, T.   & Koch, W. ​ (2004) 
    Journal of Fluid Mechanics506 pp. 255​-284​.​ DOI: https://doi.org/10.1017/S0022112004008584 
    Details  DOI 
  • 2003 Journal Article
    ​ ​Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis35(1) pp. 183​-210​.​ DOI: https://doi.org/10.1137/S0036141002406473 
    Details  DOI 
  • 2003 Journal Article
    ​ ​Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2003) 
    SIAM Journal on Mathematical Analysis35(3) pp. 547​-560​.​ DOI: https://doi.org/10.1137/S0036141002406485 
    Details  DOI 
  • 2002 Conference Paper
    ​ ​A new method for the solution of scattering problems​
    Hohage, T. ; Schmidt, F. & Zschiedrich, L.​ (2002)
    In:Michielsen, Bas; Decavèle, Francine​ (Eds.), ​Proceedings of the European Symposium on Numerical Methods in Electromagnetics: JEE 02 pp. 251​-256. 
    Toulouse​
    Details 

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