Publications of Former WG Inverse Problems

Articles (10)

1. Z. Jiang, A. Lechleiter.
   Computing Interior Eigenvalues of Domains from Far Fields.
   IMA Journal of Numerical Analysis, 36:1452-1476, 2015.
2. A. Lechleiter, S. Peters.
   Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data.
   Communications in Mathematical Sciences, 13(7), 1803 – 1827, International Press, Boston, Massachusetts, USA, 2015.

   DOI: 10.4310/CMS.2015.v13.n7.a8
   online at: http://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0013/0007/a008/

3. T. Arens, A. Lechleiter.
   Indicator Functions for Shape Reconstruction Related to the Linear Sampling Method.
   SIAM Journal on Imaging Sciences, 8(1):513-535, SIAM, 2015.

   DOI: 10.1137/140965740

4. A. Lechleiter, M. Rennoch.
   Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues.
   SIAM Journal on Mathematical Analysis, 47(1):684-705, SIAM, 2015.

   DOI: 10.1137/14098538X
   online at: Link

5. F. Miesner, A. Lechleiter, C. Müller.
   Reconstructing bottom water temperatures from measurements of temperature and thermal diffusivity in marine sediments.
   Ocean Science, 11:559-571, Copernicus Verlag, 2015.

   DOI: 10.5194/os-11-559-2015
   online at: Open Access via Ocean Science Homepage

6. A. Lechleiter, D. Nguyen.
   Scattering of Herglotz waves from periodic structures and mapping properties of the Bloch transform.
   Proceedings of the Royal Society of Edinburgh, Section: A Mathematics , 145(6):1283-1311, 2015.

   DOI: 10.1017/S0308210515000335

7. S. Peters, A. Lechleiter.
   The inside–outside duality for inverse scattering problems with near field data.
   Inverse Problems, 31(8), 085004, IOPscience, 2015.

   DOI: 10.1088/0266-5611/31/8/085004
   online at: http://iopscience.iop.org/0266-5611/31/8/085004/

8. A. Lechleiter.
   The MUSIC Algorithm for Impedance Tomography of Small Inclusions from Discrete Data.
   Inverse Problems, 31(9), 095004, IOPscience, 2015.

   DOI: 10.1088/0266-5611/31/9/095004
   online at: Link

9. P. Monk, A. Lechleiter.
   The Time Domain Lippmann-Schwinger Equation and Convolution Quadrature.
   Numerical Methods for Partial Differential Equations, 31(2):517-540, Wiley, 2015.

   DOI: 10.1002/num.21921
   online at: Link (arXiv)

10. A. Lechleiter, T. Rienmüller.
    Time-Harmonic Acoustic Wave Scattering in an Ocean with Depth-Dependent Sound Speed.
    Applicable Analysis - An International Journal, 95:978-999, 2015.

    DOI: 10.1080/00036811.2015.1047831

PhD/Habilitation Thesis (1)

1. T. Rienmüller.
   Integral Equation Methods for Ocean Acoustics with Depth-Dependent Background Sound Speed.
   Dissertationsschrift, Universität Bremen, 2015.

   online at: http://nbn-resolving.de/urn:nbn:de:gbv:46-00104767-18

Preprints (1)

1. A. Lechleiter, T. Rienmüller.
   Time-Harmonic Acoustic Wave Scattering in an Ocean with Depth-Dependent Sound Speed.
   Berichte aus der Technomathematik 15-01, Universität Bremen, 2015.