Kirsch, Andreas; Lechleiter, Armin A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem. (English) Zbl 1406.35108 Math. Methods Appl. Sci. 41, No. 10, 3955-3975 (2018). MSC: 35J05 35B27 78A50 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{A. Lechleiter}, Math. Methods Appl. Sci. 41, No. 10, 3955--3975 (2018; Zbl 1406.35108) Full Text: DOI OpenURL
Kirsch, Andreas; Lechleiter, Armin The limiting absorption principle and a radiation condition for the scattering by a periodic layer. (English) Zbl 1454.35246 SIAM J. Math. Anal. 50, No. 3, 2536-2565 (2018). MSC: 35P25 35Q60 78A45 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{A. Lechleiter}, SIAM J. Math. Anal. 50, No. 3, 2536--2565 (2018; Zbl 1454.35246) Full Text: DOI OpenURL
Lechleiter, Armin; Zhang, Ruming Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D. (English) Zbl 1401.78009 Comput. Math. Appl. 74, No. 11, 2723-2738 (2017). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A45 78A46 35B10 35P25 78M30 35J05 76Q05 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{R. Zhang}, Comput. Math. Appl. 74, No. 11, 2723--2738 (2017; Zbl 1401.78009) Full Text: DOI OpenURL
Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering. (English) Zbl 1375.78025 J. Comput. Phys. 339, 1-30 (2017). MSC: 78A46 35P25 65M32 65M70 PDF BibTeX XML Cite \textit{F. Bürgel} et al., J. Comput. Phys. 339, 1--30 (2017; Zbl 1375.78025) Full Text: DOI OpenURL
Jiang, Zixian; Lechleiter, Armin Computing interior eigenvalues of domains from far fields. (English) Zbl 1433.78017 IMA J. Numer. Anal. 36, No. 3, 1452-1476 (2016). MSC: 78A46 78M99 35J05 65N25 PDF BibTeX XML Cite \textit{Z. Jiang} and \textit{A. Lechleiter}, IMA J. Numer. Anal. 36, No. 3, 1452--1476 (2016; Zbl 1433.78017) Full Text: DOI Link OpenURL
Lakshtanov, Evgeny; Lechleiter, Armin Difference factorizations and monotonicity in inverse medium scattering for contrasts with fixed sign on the boundary. (English) Zbl 1355.78026 SIAM J. Math. Anal. 48, No. 6, 3688-3707 (2016). MSC: 78A46 35J05 35R30 65N21 47G30 PDF BibTeX XML Cite \textit{E. Lakshtanov} and \textit{A. Lechleiter}, SIAM J. Math. Anal. 48, No. 6, 3688--3707 (2016; Zbl 1355.78026) Full Text: DOI arXiv OpenURL
Lechleiter, Armin; Peters, Stefan Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data. (English) Zbl 1329.35354 Commun. Math. Sci. 13, No. 7, 1803-1827 (2015). MSC: 35R30 35P25 35P15 78A46 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{S. Peters}, Commun. Math. Sci. 13, No. 7, 1803--1827 (2015; Zbl 1329.35354) Full Text: DOI OpenURL
Lechleiter, A. The MUSIC algorithm for impedance tomography of small inclusions from discrete data. (English) Zbl 1327.35441 Inverse Probl. 31, No. 9, Article ID 095004, 19 p. (2015). MSC: 35R30 78A70 PDF BibTeX XML Cite \textit{A. Lechleiter}, Inverse Probl. 31, No. 9, Article ID 095004, 19 p. (2015; Zbl 1327.35441) Full Text: DOI Link OpenURL
Lechleiter, Armin; Peters, Stefan The inside-outside duality for inverse scattering problems with near field data. (English) Zbl 1332.78022 Inverse Probl. 31, No. 8, Article ID 085004, 23 p. (2015). MSC: 78A46 35P25 76Q05 65N25 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{S. Peters}, Inverse Probl. 31, No. 8, Article ID 085004, 23 p. (2015; Zbl 1332.78022) Full Text: DOI OpenURL
Lechleiter, Armin; Rennoch, Marcel Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues. (English) Zbl 1321.35225 SIAM J. Math. Anal. 47, No. 1, 684-705 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q61 78A46 65F15 65N25 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{M. Rennoch}, SIAM J. Math. Anal. 47, No. 1, 684--705 (2015; Zbl 1321.35225) Full Text: DOI OpenURL
Arens, T.; Lechleiter, A. Indicator functions for shape reconstruction related to the linear sampling method. (English) Zbl 1432.94011 SIAM J. Imaging Sci. 8, No. 1, 513-535 (2015). MSC: 94A08 35J05 35R30 65N21 78A46 94A20 PDF BibTeX XML Cite \textit{T. Arens} and \textit{A. Lechleiter}, SIAM J. Imaging Sci. 8, No. 1, 513--535 (2015; Zbl 1432.94011) Full Text: DOI Link OpenURL
Haddar, Houssem; Jiang, Zixian; Lechleiter, Armin Artificial boundary conditions for axisymmetric eddy current probe problems. (English) Zbl 1369.78042 Comput. Math. Appl. 68, No. 12, Part A, 1844-1870 (2014). MSC: 78A25 78M22 PDF BibTeX XML Cite \textit{H. Haddar} et al., Comput. Math. Appl. 68, No. 12, Part A, 1844--1870 (2014; Zbl 1369.78042) Full Text: DOI OpenURL
Lechleiter, Armin; Nguyen, Dinh-Liem A trigonometric Galerkin method for volume integral equations arising in TM grating scattering. (English) Zbl 1304.78010 Adv. Comput. Math. 40, No. 1, 1-25 (2014). MSC: 78A45 65R20 65N35 65T40 65T50 78M22 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{D.-L. Nguyen}, Adv. Comput. Math. 40, No. 1, 1--25 (2014; Zbl 1304.78010) Full Text: DOI arXiv OpenURL
Lechleiter, Armin; Peters, Stefan Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields. (English) Zbl 1296.65149 Inverse Probl. 30, No. 4, Article ID 045006, 22 p. (2014). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65N25 35J05 65N22 78A45 65N38 35P15 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{S. Peters}, Inverse Probl. 30, No. 4, Article ID 045006, 22 p. (2014; Zbl 1296.65149) Full Text: DOI Link OpenURL
Haddar, Houssem; Lechleiter, Armin; Marmorat, Simon An improved time domain linear sampling method for Robin and Neumann obstacles. (English) Zbl 1290.35169 Appl. Anal. 93, No. 2, 369-390 (2014). MSC: 35P25 35R30 35L05 35Q60 65N21 78A46 45A05 45P05 PDF BibTeX XML Cite \textit{H. Haddar} et al., Appl. Anal. 93, No. 2, 369--390 (2014; Zbl 1290.35169) Full Text: DOI Link OpenURL
Lechleiter, Armin; Kazimierski, Kamil S.; Karamehmedović, Mirza Tikhonov regularization in \(L^p\) applied to inverse medium scattering. (English) Zbl 1282.65140 Inverse Probl. 29, No. 7, Article ID 075003, 19 p. (2013). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 65N21 76Q05 78A46 35R30 35J05 PDF BibTeX XML Cite \textit{A. Lechleiter} et al., Inverse Probl. 29, No. 7, Article ID 075003, 19 p. (2013; Zbl 1282.65140) Full Text: DOI OpenURL
Lechleiter, Armin; Nguyen, Dinh-Liem On uniqueness in electromagnetic scattering from biperiodic structures. (English) Zbl 1282.78022 ESAIM, Math. Model. Numer. Anal. 47, No. 4, 1167-1184 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 35A02 47A53 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{D.-L. Nguyen}, ESAIM, Math. Model. Numer. Anal. 47, No. 4, 1167--1184 (2013; Zbl 1282.78022) Full Text: DOI arXiv OpenURL
Lechleiter, Armin; Nguyen, Dinh-Liem Volume integral equations for scattering from anisotropic diffraction gratings. (English) Zbl 1267.78027 Math. Methods Appl. Sci. 36, No. 3, 262-274 (2013). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 45B05 35P25 35Q60 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{D.-L. Nguyen}, Math. Methods Appl. Sci. 36, No. 3, 262--274 (2013; Zbl 1267.78027) Full Text: DOI arXiv OpenURL
Haddar, Houssem; Lechleiter, Armin Electromagnetic wave scattering from rough penetrable layers. (English) Zbl 1233.35182 SIAM J. Math. Anal. 43, No. 5, 2418-2443 (2011). MSC: 35Q60 35Q61 78A40 78A45 35B45 PDF BibTeX XML Cite \textit{H. Haddar} and \textit{A. Lechleiter}, SIAM J. Math. Anal. 43, No. 5, 2418--2443 (2011; Zbl 1233.35182) Full Text: DOI Link OpenURL
Lechleiter, Armin Explicit characterization of the support of non-linear inclusions. (English) Zbl 1238.78011 Inverse Probl. Imaging 5, No. 3, 675-694 (2011). Reviewer: Johannes Elschner (Berlin) MSC: 78A46 35R30 31B20 45Q05 PDF BibTeX XML Cite \textit{A. Lechleiter}, Inverse Probl. Imaging 5, No. 3, 675--694 (2011; Zbl 1238.78011) Full Text: DOI OpenURL
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian Photonic crystals. Mathematical analysis and numerical approximation. (English) Zbl 1238.78001 Oberwolfach Seminars 42. Berlin: Springer (ISBN 978-3-0348-0112-6/pbk; 978-3-0348-0113-3/ebook). viii, 162 p. (2011). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 78-02 65Z05 78Mxx 78A45 78A46 78A60 PDF BibTeX XML Cite \textit{W. Dörfler} et al., Photonic crystals. Mathematical analysis and numerical approximation. Berlin: Springer (2011; Zbl 1238.78001) Full Text: DOI OpenURL
Haddar, Houssem; Lechleiter, Armin Asymptotic models for scattering from unbounded media with high conductivity. (English) Zbl 1206.35066 ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1295-1317 (2010). MSC: 35C20 78A40 35J05 35J25 PDF BibTeX XML Cite \textit{H. Haddar} and \textit{A. Lechleiter}, ESAIM, Math. Model. Numer. Anal. 44, No. 6, 1295--1317 (2010; Zbl 1206.35066) Full Text: DOI EuDML OpenURL
Lechleiter, Armin; Ritterbusch, Sebastian A variational method for wave scattering from penetrable rough layers. (English) Zbl 1205.78024 IMA J. Appl. Math. 75, No. 3, 366-391 (2010). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 78M30 35P25 35A15 35J05 35J20 78A40 78A48 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{S. Ritterbusch}, IMA J. Appl. Math. 75, No. 3, 366--391 (2010; Zbl 1205.78024) Full Text: DOI Link OpenURL
Lechleiter, Armin Imaging of periodic dielectrics. (English) Zbl 1194.78018 BIT 50, No. 1, 59-83 (2010). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78A46 74J25 PDF BibTeX XML Cite \textit{A. Lechleiter}, BIT 50, No. 1, 59--83 (2010; Zbl 1194.78018) Full Text: DOI OpenURL
Lechleiter, Armin The factorization method is independent of transmission eigenvalues. (English) Zbl 1184.78020 Inverse Probl. Imaging 3, No. 1, 123-138 (2009). MSC: 78A46 74J25 76Q05 35J05 78M25 PDF BibTeX XML Cite \textit{A. Lechleiter}, Inverse Probl. Imaging 3, No. 1, 123--138 (2009; Zbl 1184.78020) Full Text: DOI OpenURL
Kirsch, A.; Lechleiter, A. The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in \(L^{2}\). (English) Zbl 1179.78053 Appl. Anal. 88, No. 6, 807-830 (2009). MSC: 78A45 76Q05 47A40 35J05 45B05 PDF BibTeX XML Cite \textit{A. Kirsch} and \textit{A. Lechleiter}, Appl. Anal. 88, No. 6, 807--830 (2009; Zbl 1179.78053) Full Text: DOI OpenURL
Lechleiter, Armin; Rieder, Andreas Newton regularizations for impedance tomography: a numerical study. (English) Zbl 1109.65100 Inverse Probl. 22, No. 6, 1967-1987 (2006). MSC: 65N30 65J20 44A12 78A25 35Q60 35R25 35R30 78M10 PDF BibTeX XML Cite \textit{A. Lechleiter} and \textit{A. Rieder}, Inverse Probl. 22, No. 6, 1967--1987 (2006; Zbl 1109.65100) Full Text: DOI Link OpenURL