Publications:

refereed journal papers:

  1. J. Jackiewicz, A.C. Birch, L. Gizon S. Hanasoge, T. Hohage, M. Svanda. Multichannel Three-dimensional OLA Inversion for Local Helioseismology Solar Physics. to appear.
  2. T. Hohage, S. Langer. Acceleration techniques for regularized Newton methods applied to electromagnetic inverse medium scattering problems 10.1088/0266-5611/26/7/074011 arXiv:1003.4472v1 Inverse Problems, 26:074011 (15 pages), 2010.
  3. H. Harbrecht, T. Hohage. A Newton method for reconstructing non star-shaped domains in electrical impedance tomography. preprint, Inverse Problems and Imaging, 3:353-371, 2009.
  4. F. Bauer, T. Hohage and A. Munk. Iteratively Regularized Gauss-Newton Method for Nonlinear Inverse Problems with Random Noise. SIAM J. Numer. Anal., 47:1827-1846, 2009. DOI: 10.1137/080721789.
  5. D.S. Gilliam, T. Hohage, X. Ji and F. Ruymgaart. The Frechet derivative of an analytic function of a bounded operator with some applications. International Journal of Mathematics and Mathematical Sciences, vol. 2009, Article ID 239025, 17 pages, 2009. doi:10.1155/2009/239025.
  6. T. Hohage and L. Nannen. Hardy space infinite elements for scattering and resonance problems. SIAM J. Numer. Anal., 47:972-996, 2009. http://dx.doi.org/10.1137/070708044
  7. T. Hohage, K. Giewekemeyer and T. Salditt. Iterative reconstruction of a refractive index from x-ray or neutron reflectivity measurements. Physical Review E. 77:051604, 2008. http://link.aps.org/abstract/PRE/v77/e051604
  8. M. Uecker, T. Hohage, K.T. Block and J. Frahm. Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content. Magnetic Resonance in Medicine, 60:674-682, 2008. preprint
  9. T. Hohage and M. Pricop. Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise. Inverse Problems and Imaging. 2:271-290, 2008. preprint
  10. F. Schmidt, T. Hohage, R. Klose, A. Schädle and L. Zschiedrich. Pole condition: A Numerical Method for Helmholtz-type Scattering Problems with Inhomogeneous Exterior Domain. J. Comput. Appl. Math., 218:61--69, 2008. http://dx.doi.org/10.1016/j.cam.2007.04.046
  11. N. Bissantz, T. Hohage, A. Munk and F. Ruymgaart. Convergence rates of general regularization methods for statistical inverse problems and applications. SIAM J. Numer. Anal., 45:2610-2636, 2007.
  12. S. Langer and T. Hohage Convergence analysis of an inexact iteratively regularized Gauss-Newton method under general source conditions. J. Inverse Ill-Posed Problems, 15:19-35, 2007. preprint
  13. S. Hein, T. Hohage, W. Koch and J. Schöberl. Acoustic Resonances in High Lift Configuration. J. Fluid Mech., 582:179-202, 2007. preprint
  14. H. Harbrecht and T. Hohage. Fast methods for Three-Dimensional Inverse Obstacle Scattering Problems. J. Int. Eq. Appl., 19:237-260, 2007. preprint
  15. T. Hohage, M.-L. Rapun and F.J.Sayas. Detecting corrosion using thermal measurements. Inverse Problems, 23: 52-72, 2007. preprint
  16. T. Hohage. Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem. J. Comp. Phys., 214: 224-238, 2006. preprint
  17. F. Bauer and T. Hohage. A Lepskij-type stopping rule for regularized Newton methods. Inverse Problems 21:1975-1991, 2005. preprint
  18. T. Hohage and J. Sayas. Numerical solution of a heat diffusion problem by boundary element methods using the Laplace transform. Numerische Mathematik, 102:67-92, 2005. preprint. The original publication is available at www.springerlink.com.
  19. T. Arens and T. Hohage. On radiation conditions for rough surface scattering problems. IMA J. Applied Math., 70:839-847, 2005
  20. N. Bissantz, T. Hohage, and A. Munk. Consistency and rates of Convergence of Nonlinear Tikhonov regularization with random noise. Inverse Problems 20:1773-1791, 2004.
  21. S. Hein, T. Hohage, and W. Koch. On resonances in open systems. J. Fluid Mech., 506:255-284, 2004.
  22. T. Hohage, F. Schmidt,  L. Zschiedrich: Solving time-harmonic scattering problems based on the pole condition. I:Theory.  SIAM J. Math. Anal., 35:183--210, 2003.
  23. T. Hohage, F. Schmidt,  L. Zschiedrich: Solving time-harmonic scattering problems based on the pole condition. II:Convergence of the PML method. SIAM J. Math. Anal., 35:547--560, 2003.
  24. P. Hähner, T. Hohage: New stability estimates for the inverse acoustic inhomogeneous medium problem and applications.  SIAM J. Math. Anal., 62:670-685, 2001.
  25. T. Hohage: On the numerical solution of a 3D inverse medium scattering problem. Inverse Problems, 17:1743-1763, 2001.
  26. T. Hohage: Regularization of exponentially ill-posed problems. Numer. Funct. Anal. Optim. 21:439-464, 2000.
  27. T. Hohage, C. Schormann: A Newton-type method for a transmission problem in inverse scattering.  Inverse Problems, 14:1207-1227, 1998.
  28. T. Hohage:  Convergence rates of a regularized Newton method in sound-hard inverse scattering.  SIAM J. Numer. Anal., 36:125-142, 1998.
  29. T. Hohage: Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem.  Inverse Problems, 13:1279-1299, 1997.

refereed proceedings papers:

  1. F. Bauer and T. Hohage. On Lepskij's stopping rule for Newton-type methods with random noise. PAMM, 5:15-18, 2005.
  2. T. Hohage. An iterative method for inverse medium scattering problems based on factorization of the far field operator. The 2nd International Converence on Inverse Problems: Recent Theoretical Development and Numerical Approaches. Fudan University, Shanghai. Journal of Physics: Conference Series, Vol. 12, pages 33-45. IOP, London, 2005. preprint
  3. T. Hohage, W. Koch, F. Schmidt, L. Zschiedrich. Transparent boundary conditions for computing resonances. In: Proceedings of the WAVES 2005 conference, pages 65-67, INRIA, 2005.
  4. T. Hohage, M. L. Rapun, M. L. Sein-Echaluce, J. Sayas. Parameter determination in diffusive media via thermal waves. In: Proceedings of the WAVES 2005 conference, pages 299-300, INRIA, 2005.
  5. T. Hohage. Laplace domain methods for the construction of transparent boundary conditions. In G. C. Cohen, E. Heikkola, P. Joly, and P. Neittaanmäki, editors, Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, pages 148--153, Berlin, Heidelberg, 2003. Springer.
  6. T. Hohage, F. Schmidt,  L. Zschiedrich: A new method for the solution of scattering problems. In  B. Michielsen and F. Decavele (eds) Proceedings of the JEE'02 Symposium, p. 251-256, Toulouse, ONERA, 2002. ps.gz-file ,  pdf-file
  7. T. Hohage: Iterative regularization methods in inverse scattering. In K. A. Woodbury, editor, Inverse Problems in Engineering: Theory and Practice, New York, 1999. The American Society of Mechanical Engineers.

other publications:

  1. F. Dunker, J.-P. Florens, T. Hohage, J. Johannes, E. Mammen. Iterative Estimation of Solutions to Noisy Nonlinear Operator Equations in Nonparametric Instrumental Regression. NAM Preprint 2011-15
  2. R. Stück, M, Burger, T. Hohage. The Iteratively Regularized Gauß-Newton Method with Convex Constraints and Applications in 4Pi-Microscopy. arXiv:1106.5812v1
  3. T. Hohage and F. Werner. Iteratively regularized Newton methods with general data misfit functionals and applications to Poisson data. NAM Preprint 2011/11 , arXiv:1105.2690v1
  4. S. Soussi and T. Hohage. Riesz bases and Jordan form of the translation operator in semi-infinite periodic waveguides. NAM Preprint 2009/06
  5. T. Hohage and F. Schmidt. On the numerical solution of nonlinear Schrödinger-type equations in fiber optics. Technical Report 02-01, Zuse Institute Berlin, 2002.
  6. T. Hohage:  Iterative Methods in Inverse Obstacle Scattering: Regularization Theory of Linear and Nonlinear Exponentially Ill-Posed Problems. PhD thesis, University of Linz, 1999.  ps.gz-file,  pdf-file
  7. T. Hohage: Newton-Verfahren beim inversen Neumann-Problem zur Helmholtz-Gleichung. Diplomarbeit, Göttingen, 1996.  ps.gz-file
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