Zobrazeno 1 - 10
of 74
pro vyhledávání: '"Armin Lechleiter"'
Publikováno v:
ACM Transactions on Mathematical Software. 45:1-20
IPscatt is a free, open-source MATLAB toolbox facilitating the solution for time-independent scattering (also known as time-harmonic scattering) in two- and three-dimensional settings. The toolbox has three main application cases: simulation of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b62ab77a97de0226a53370644890b5a
https://doi.org/10.1145/3328525
https://doi.org/10.1145/3328525
Autor:
Andreas Kirsch, Armin Lechleiter
Publikováno v:
Mathematical Methods in the Applied Sciences. 41:3955-3975
In this paper we consider the propagation of waves in a closed full- or half-waveguide where the index of refraction is periodic along the axis of the waveguide. Motivated by the limiting absorption principle, proven in the Appendix by a functional a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b580e6112e8ff93b3f87c296b5ac717a
https://doi.org/10.1002/mma.4879
https://doi.org/10.1002/mma.4879
Autor:
Andreas Kirsch, Armin Lechleiter
Publikováno v:
SIAM Journal on Mathematical Analysis. 50:2536-2565
Scattering of time-harmonic waves from periodic structures at some fixed real-valued wave number becomes analytically difficult whenever there arise surface waves: These nonzero solutions to the ho...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6db254b78ef5b76939519e993891a4a
https://doi.org/10.1137/17m1118920
https://doi.org/10.1137/17m1118920
Autor:
Armin Lechleiter, Ruming Zhang
Publikováno v:
Computers & Mathematics with Applications. 74:2723-2738
Scattering of non-periodic waves from unbounded structures is difficult to treat, as one typically formulates the problem in an unbounded domain covering the unbounded periodic structure. The Floquet–Bloch transform reduces the latter problem to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb9c93e0436f0159f8d1723ac85fad79
https://doi.org/10.1016/j.camwa.2017.08.042
https://doi.org/10.1016/j.camwa.2017.08.042
Publikováno v:
Journal of Computational Physics. 339:1-30
We present a fast computational framework for the inverse medium problem in scattering, i.e. we look at discretization, reconstruction and numerical performance. The Helmholtz equation in two and three dimensions is used as a physical model of scatte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0a29aba58babbcda8729b9bbfcdabc57
https://doi.org/10.1016/j.jcp.2017.03.011
https://doi.org/10.1016/j.jcp.2017.03.011
Autor:
Armin Lechleiter
Publikováno v:
Journal of Mathematical Analysis and Applications. 446:605-627
We use the Floquet–Bloch transform to reduce variational formulations of surface scattering problems for the Helmholtz equation from periodic and locally perturbed periodic surfaces to equivalent variational problems formulated on bounded domains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0313a9da07c4f6d2bf055606a3763f7c
https://doi.org/10.1016/j.jmaa.2016.08.055
https://doi.org/10.1016/j.jmaa.2016.08.055
Autor:
Ruming Zhang, Armin Lechleiter
Publikováno v:
SIAM Journal on Scientific Computing. 39:B819-B839
Scattering problems for periodic structures have been studied a lot in the past few years. A main idea for numerical solution methods is to reduce such problems to one periodicity cell. In contrast to periodic settings, scattering from locally pertur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb5b2a646703a85042123da9724306f2
https://doi.org/10.1137/16m1104111
https://doi.org/10.1137/16m1104111
Autor:
Marcel Rennoch, Armin Lechleiter
Publikováno v:
Inverse Problems & Imaging. 11:151-176
We consider Tikhonov and sparsity-promoting regularization in Banach spaces for inverse scattering from penetrable anisotropic media. To this end, we equip an admissible set of material parameters with the \begin{document}$L^p$\end{document} -topolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9928e73bcd8f757d0a186b8b05f076e
https://doi.org/10.3934/ipi.2017008
https://doi.org/10.3934/ipi.2017008
Autor:
Armin Lechleiter, Alexander Konschin
We consider the inverse scattering problem to reconstruct a local perturbation of a given inhomogeneous periodic layer in $\mathbb{R}^d$, $d=2,3$, using near field measurements of the scattered wave on an open set of the boundary above the medium, or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e684a0b5cc59653ce5c50274b279db05
Autor:
Armin Lechleiter, Tobias Rienmüller
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:1608-1624
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5e2505bd513bfde629942b9849ac41a
https://doi.org/10.1002/mma.4082
https://doi.org/10.1002/mma.4082