Bürgel, Florian; Kazimierski, Kamil S.; Lechleiter, Armin Algorithm 1001: IPscatt – a Matlab toolbox for the inverse medium problem in scattering. (English) Zbl 1486.65284 ACM Trans. Math. Softw. 45, No. 4, Article No. 45, 20 p. (2019). MSC: 65Nxx 78A46 PDFBibTeX XMLCite \textit{F. Bürgel} et al., ACM Trans. Math. Softw. 45, No. 4, Article No. 45, 20 p. (2019; Zbl 1486.65284) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Kirsch} and \textit{A. Lechleiter}, Math. Methods Appl. Sci. 41, No. 10, 3955--3975 (2018; Zbl 1406.35108) Full Text: DOI
Lechleiter, Armin; Zhang, Ruming Reconstruction of local perturbations in periodic surfaces. (English) Zbl 1457.65169 Inverse Probl. 34, No. 3, Article ID 035006, 17 p. (2018). MSC: 65N21 65K10 35J05 35J25 35P25 35R30 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{R. Zhang}, Inverse Probl. 34, No. 3, Article ID 035006, 17 p. (2018; Zbl 1457.65169) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{R. Zhang}, Comput. Math. Appl. 74, No. 11, 2723--2738 (2017; Zbl 1401.78009) Full Text: DOI
Lechleiter, Armin; Zhang, Ruming A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces. (English) Zbl 1380.35070 SIAM J. Sci. Comput. 39, No. 5, B819-B839 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35A35 65N30 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{R. Zhang}, SIAM J. Sci. Comput. 39, No. 5, B819--B839 (2017; Zbl 1380.35070) Full Text: DOI arXiv
Lechleiter, Armin; Zhang, Ruming A convergent numerical scheme for scattering of aperiodic waves from periodic surfaces based on the Floquet-Bloch transform. (English) Zbl 1375.35107 SIAM J. Numer. Anal. 55, No. 2, 713-736 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 35A35 65N30 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{R. Zhang}, SIAM J. Numer. Anal. 55, No. 2, 713--736 (2017; Zbl 1375.35107) Full Text: DOI arXiv
Lechleiter, Armin; Rienmüller, Tobias Collocation discretization for an integral equation in Ocean acoustics with depth-dependent speed of sound. (English) Zbl 1367.65176 Math. Methods Appl. Sci. 40, No. 5, 1608-1624 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 35A35 35P25 45L05 35J05 86A05 65N12 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{T. Rienmüller}, Math. Methods Appl. Sci. 40, No. 5, 1608--1624 (2017; Zbl 1367.65176) Full Text: DOI
Lechleiter, Armin The Floquet-Bloch transform and scattering from locally perturbed periodic surfaces. (English) Zbl 1354.35018 J. Math. Anal. Appl. 446, No. 1, 605-627 (2017). MSC: 35J05 46E35 35P25 PDFBibTeX XMLCite \textit{A. Lechleiter}, J. Math. Anal. Appl. 446, No. 1, 605--627 (2017; Zbl 1354.35018) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{A. Lechleiter}, IMA J. Numer. Anal. 36, No. 3, 1452--1476 (2016; Zbl 1433.78017) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{E. Lakshtanov} and \textit{A. Lechleiter}, SIAM J. Math. Anal. 48, No. 6, 3688--3707 (2016; Zbl 1355.78026) Full Text: DOI arXiv
Lechleiter, A.; Rienmüller, T. Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed. (English) Zbl 1336.35269 Appl. Anal. 95, No. 5, 978-999 (2016). MSC: 35P25 35J05 35Q35 35J20 76Q05 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{T. Rienmüller}, Appl. Anal. 95, No. 5, 978--999 (2016; Zbl 1336.35269) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Arens} and \textit{A. Lechleiter}, SIAM J. Imaging Sci. 8, No. 1, 513--535 (2015; Zbl 1432.94011) Full Text: DOI Link
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 PDFBibTeX XMLCite \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
Arens, Tilo; Sandfort, Kai; Schmitt, Susanne; Lechleiter, Armin Analysing Ewald’s method for the evaluation of Green’s functions for periodic media. (English) Zbl 1283.35014 IMA J. Appl. Math. 78, No. 3, 405-431 (2013). MSC: 35J05 76Q05 65N80 35P25 40A05 35J08 PDFBibTeX XMLCite \textit{T. Arens} et al., IMA J. Appl. Math. 78, No. 3, 405--431 (2013; Zbl 1283.35014) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{A. Lechleiter} et al., Inverse Probl. 29, No. 7, Article ID 075003, 19 p. (2013; Zbl 1282.65140) Full Text: DOI
Lechleiter, Armin; Nguyen, Dinh Liem Spectral volumetric integral equation methods for acoustic medium scattering in a 3D waveguide. (English) Zbl 1328.76066 IMA J. Numer. Anal. 32, No. 3, 813-844 (2012). MSC: 76Q05 76M22 35J05 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{D. L. Nguyen}, IMA J. Numer. Anal. 32, No. 3, 813--844 (2012; Zbl 1328.76066) Full Text: DOI Link
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. Lechleiter} and \textit{S. Ritterbusch}, IMA J. Appl. Math. 75, No. 3, 366--391 (2010; Zbl 1205.78024) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{A. Lechleiter}, Inverse Probl. Imaging 3, No. 1, 123--138 (2009; Zbl 1184.78020) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Kirsch} and \textit{A. Lechleiter}, Appl. Anal. 88, No. 6, 807--830 (2009; Zbl 1179.78053) Full Text: DOI
Arens, Tilo; Lechleiter, Armin The linear sampling method revisited. (English) Zbl 1237.65118 J. Integral Equations Appl. 21, No. 2, 179-202 (2009). MSC: 65N21 65N12 35J05 PDFBibTeX XMLCite \textit{T. Arens} and \textit{A. Lechleiter}, J. Integral Equations Appl. 21, No. 2, 179--202 (2009; Zbl 1237.65118) Full Text: DOI
Arens, Tilo; Gintides, Drossos; Lechleiter, Armin Variational formulations for scattering in a three-dimensional acoustic waveguide. (English) Zbl 1158.35020 Math. Methods Appl. Sci. 31, No. 7, 821-847 (2008). Reviewer: Bogdan G. Nita (Upper Montclair) MSC: 35J05 74J20 35J20 PDFBibTeX XMLCite \textit{T. Arens} et al., Math. Methods Appl. Sci. 31, No. 7, 821--847 (2008; Zbl 1158.35020) Full Text: DOI