Publications of Former WG Inverse Problems

Articles (9)

1. A. Lechleiter, R. Zhang.
   A Convergent Numerical Scheme for Scattering of Aperiodic Waves from Periodic Surfaces Based on the Floquet-Bloch Transform.
   SIAM Journal on Numerical Analysis, 55(2):713-736, 2017.

   DOI: 10.1137/16M1067524

2. A. Lechleiter, R. Zhang.
   A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces.
   SIAM Journal on Scientific Computing, 39(5):B819-B839, 2017.

   DOI: 10.1137/16M1104111
   online at: http://epubs.siam.org/doi/pdf/10.1137/16M1104111

3. F. Bürgel, K. Kazimierski, A. Lechleiter.
   A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering.
   Journal of Computational Physics, 339, 1–30, 2017.

   DOI: 10.1016/j.jcp.2017.03.011

4. A. Lechleiter, T. Rienmüller.
   Collocation discretization for an integral equation in ocean acoustics with depth-dependent speed of sound.
   Mathematical Methods in the Applied Sciences, 40(5):1608-1624, Wiley, 2017.

   DOI: 10.1002/mma.4082

5. M. Li, R. Zhang.
   Near-field imaging of sound-soft obstacles in periodic waveguides .
   Inverse Problems and Imaging, 11(6):1091-1105, 2017.

   online at: https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=14621

6. A. Lechleiter, M. Rennoch.
   Non-linear Tikhonov Regularization in Banach Spaces for Inverse Scattering from Anisotropic Penetrable Media.
   Inverse Problems and Imaging, 11(1):151-176, 2017.

   DOI: 10.3934/ipi.2017008

7. A. Lechleiter, R. Zhang.
   Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D.
   Computers & Mathematics with Applications, 74(11): 2723-2738, 2017.

   online at: https://doi.org/10.1016/j.camwa.2017.08.042

8. T. Gerken, A. Lechleiter.
   Reconstruction of a Time-dependent Potential from Wave Measurements.
   Inverse Problems, Article ID 094001 33(9), IOPscience, 2017.

   Ausgezeichnet als Highlight Paper

   DOI: 10.1088/1361-6420/aa7e07
   online at: http://iopscience.iop.org/article/10.1088/1361-6420/aa7e07

9. A. Lechleiter.
   The Floquet-Bloch Transform and Scattering from Locally Perturbed Periodic Surfaces.
   Journal of Mathematical Analysis and Applications, 446(1):605-627, 2017.

   online at: http://arxiv.org/abs/1602.03349

PhD/Habilitation Thesis (1)

1. M. Rennoch.
   Regularization Methods in Banach Spaces Applied to Inverse Medium Scattering Problems.
   Dissertationsschrift, Universität Bremen, 2017.

   online at: Elektronische Bibliothek der Universität Bremen

Preprints (1)

1. R. Zhang.
   The Study of the Bloch Transformed Total Fields of the Scattering Problems with Locally Perturbed Periodic Surfaces.
   Zur Veröffentlichung eingereicht.

   online at: https://arxiv.org/pdf/1708.07560.pdf