% This file was created by ZeTeM Website
 
% Armin Lechleiter




@INBOOK{Lechleiter2016_50229,
  author = {Armin Lechleiter},
  chapter = {Factorization method in inverse scattering},
  title = {Encyclopedia of Applied and Computational Mathematics},
  editor = {Björn Engquist},
  pages = {479-485},
  publisher = {Springer Verlag},
  year = {2016}
}


@INBOOK{Lechleiter2011_514a7,
  author = {Armin Lechleiter},
  chapter = {An introduction to direct and inverse scattering theory},
  title = {Photonic Crystals: Mathematical Analysis and Numerical Approximation},
  series = {Oberwolfach Seminars Vol.42},
  pages = {79-126},
  publisher = {Birkhäuser},
  year = {2011},
  doi = {10.1007/978-3-0348-0113-3}
}


@ARTICLE{Buergel2019_e8e50,
  author = {Florian Bürgel and Kamil Kazimierski and Armin Lechleiter},
  title = {IPscatt—A MATLAB Toolbox for the Inverse Medium Problem in Scattering},
  journal = {ACM Transactions on Mathematical Software},
  volume = {45},
  number = {4},
  pages = {45:1–45:20},
  year = {2019},
  doi = {10.1145/3328525}
}


@ARTICLE{Cakoni2019_3d6db,
  author = {Fioralba Cakoni and Houssem Haddar and Armin Lechleiter},
  title = {On the factorization method for a far field inverse scattering problem in the time domain},
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {51},
  number = {2},
  pages = {854-872},
  year = {2019},
  doi = {10.1137/18M1214809}
}


@ARTICLE{Konschin2019_6453c,
  author = {Alexander Konschin and Armin Lechleiter},
  title = {Reconstruction of a Local Perturbation in Inhomogeneous Periodic Layers from Partial Near Field Measurements},
  journal = {Inverse Problems},
  volume = {35},
  number = {11},
  pages = {114006},
  publisher = {IOPscience},
  year = {2019},
  doi = {10.1088/1361-6420/ab1c66}
}


@ARTICLE{Kirsch2018_c7e99,
  author = {A. Kirsch and Armin Lechleiter},
  title = {A radiation condition arising from the limiting absorption principle for a closed full- or half-waveguide problem},
  journal = {Mathematical Methods in the Applied Sciences},
  volume = {41},
  number = {10},
  pages = {3955-3975},
  year = {2018},
  doi = {10.1002/mma.4879}
}


@ARTICLE{Lechleiter2018_d7507,
  author = {Armin Lechleiter and Ruming Zhang},
  title = {Reconstruction of Local Perturbations in Periodic Surfaces},
  journal = {Inverse Problems},
  annote = {035006},
  volume = {34},
  number = {2018},
  publisher = {IOPscience},
  year = {2018},
  doi = {doi.org/10.1088/1361-6420/aaa7b1}
}


@ARTICLE{Kirsch2018_29f97,
  author = {A. Kirsch and Armin Lechleiter},
  title = {The limiting absorption principle and a radiation condition for the scattering by a periodic layer},
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {50},
  number = {3},
  pages = {2536-2565},
  year = {2018},
  doi = {10.1137/17M1118920}
}


@ARTICLE{Lechleiter2017_eedae,
  author = {Armin Lechleiter and Ruming Zhang},
  title = {A Convergent Numerical Scheme for Scattering of Aperiodic Waves from Periodic Surfaces Based on the Floquet-Bloch Transform},
  journal = {SIAM Journal on Numerical Analysis},
  volume = {55},
  number = {2},
  pages = {713-736},
  year = {2017},
  doi = {10.1137/16M1067524}
}


@ARTICLE{Lechleiter2017_5ddde,
  author = {Armin Lechleiter and Ruming Zhang},
  title = {A Floquet-Bloch transform based numerical method for scattering from locally perturbed periodic surfaces},
  journal = {SIAM Journal on Scientific Computing},
  volume = {39},
  number = {5},
  pages = {B819-B839},
  year = {2017},
  doi = {10.1137/16M1104111}
}


@ARTICLE{Buergel2017_c8502,
  author = {Florian Bürgel and Kamil Kazimierski and Armin Lechleiter},
  title = {A sparsity regularization and total variation based computational framework for the inverse medium problem in scattering},
  journal = {Journal of Computational Physics},
  volume = {339},
  pages = {1–30},
  year = {2017},
  doi = {10.1016/j.jcp.2017.03.011}
}


@ARTICLE{Lechleiter2017_1128e,
  author = {Armin Lechleiter and Tobias Rienmüller},
  title = {Collocation discretization for an integral equation in ocean acoustics with depth-dependent speed of sound},
  journal = {Mathematical Methods in the Applied Sciences},
  volume = {40},
  number = {5},
  pages = {1608-1624},
  publisher = {Wiley},
  year = {2017},
  doi = {10.1002/mma.4082}
}


@ARTICLE{Lechleiter2017_50f7c,
  author = {Armin Lechleiter and Marcel Rennoch},
  title = {Non-linear Tikhonov Regularization in Banach Spaces for Inverse Scattering from Anisotropic Penetrable Media},
  journal = {Inverse Problems and Imaging},
  volume = {11},
  number = {1},
  pages = {151-176},
  year = {2017},
  doi = {10.3934/ipi.2017008}
}


@ARTICLE{Lechleiter2017_759b3,
  author = {Armin Lechleiter and Ruming Zhang},
  title = {Non-periodic acoustic and electromagnetic, scattering from periodic structures in 3D},
  journal = {Computers & Mathematics with Applications},
  volume = {74},
  number = {11},
  pages = { 2723-2738},
  year = {2017}
}


@ARTICLE{Gerken2017_1634f,
  author = {Thies Gerken and Armin Lechleiter},
  title = {Reconstruction of a Time-dependent Potential from Wave Measurements},
  journal = {Inverse Problems},
  annote = {Article ID 094001},
  volume = {33},
  number = {9},
  publisher = {IOPscience},
  year = {2017},
  doi = {10.1088/1361-6420/aa7e07}
}


@ARTICLE{Lechleiter2017_6511b,
  author = {Armin Lechleiter},
  title = {The Floquet-Bloch Transform and Scattering from Locally Perturbed Periodic Surfaces},
  journal = {Journal of Mathematical Analysis and Applications},
  volume = {446},
  number = {1},
  pages = {605-627},
  year = {2017}
}


@ARTICLE{Bosse2016_5c64b,
  author = {Stefan Bosse and Armin Lechleiter},
  title = {A hybrid approach for structural monitoring with self-organizing multi-agent systems and inverse numerical methods in material-embedded sensor networks},
  journal = {Mechatronics},
  volume = {34},
  pages = {12-37},
  year = {2016},
  doi = {10.1016/j.mechatronics.2015.08.005}
}


@ARTICLE{Lakshtanov2016_7b04c,
  author = {Evgeny Lakshtanov and Armin Lechleiter},
  title = {Difference Factorizations and Monotonicity in Inverse Medium Scattering for Contrasts with Fixed Sign on the Boundary   },
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {48},
  number = {6},
  pages = {3688-3707},
  publisher = {SIAM},
  year = {2016},
  doi = {10.1137/16M1060819}
}


@ARTICLE{Jiang2016_95c32,
  author = {Zixian Jiang and H. Haddar and Armin Lechleiter and Mabrouka El Guedri},
  title = {Identification of magnetic deposits in 2-D axisymmetric eddy current models via shape optimization},
  journal = {Inverse Problems in Science and Engineering},
  volume = {24},
  number = {8},
  pages = {1385-1410},
  publisher = {Taylor & Francis},
  year = {2016},
  doi = {10.1080/17415977.2015.1110581}
}


@ARTICLE{Lechleiter2016_50651,
  author = {Armin Lechleiter and John Schlasche},
  title = {Identifying Lame Parameters from Time-dependent Elastic Wave Measurements},
  journal = {Inverse Problems in Science and Engineering},
  volume = {25},
  number = {1},
  pages = {2-26},
  year = {2016},
  doi = {10.1080/17415977.2015.1132713}
}


@ARTICLE{Jiang2015_58988,
  author = {Zixian Jiang and Armin Lechleiter},
  title = {Computing Interior Eigenvalues of Domains from Far Fields},
  journal = {IMA Journal of Numerical Analysis},
  volume = {36},
  pages = {1452-1476},
  year = {2015}
}


@ARTICLE{Lechleiter2015_bcea8,
  author = {Armin Lechleiter and Stefan Peters},
  title = {Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data},
  journal = {Communications in Mathematical Sciences},
  volume = {13},
  number = {7},
  pages = {1803 – 1827},
  publisher = {International Press, Boston, Massachusetts, USA},
  year = {2015},
  doi = {10.4310/CMS.2015.v13.n7.a8}
}


@ARTICLE{Arens2015_62bfe,
  author = {T. Arens and Armin Lechleiter},
  title = {Indicator Functions for Shape Reconstruction Related to the Linear Sampling Method},
  journal = {SIAM Journal on Imaging Sciences},
  volume = {8},
  number = {1},
  pages = {513-535},
  publisher = {SIAM},
  year = {2015},
  doi = {10.1137/140965740}
}


@ARTICLE{Lechleiter2015_9d3ef,
  author = {Armin Lechleiter and Marcel Rennoch},
  title = {Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues},
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {47},
  number = {1},
  pages = {684-705},
  publisher = {SIAM},
  year = {2015},
  doi = {10.1137/14098538X}
}


@ARTICLE{Miesner2015_8cc8f,
  author = {Frederieke Miesner and Armin Lechleiter and Christian Müller},
  title = {Reconstructing bottom water temperatures from measurements of temperature and thermal diffusivity in marine sediments},
  journal = {Ocean Science},
  volume = {11},
  pages = {559-571},
  publisher = {Copernicus Verlag},
  year = {2015},
  doi = {10.5194/os-11-559-2015}
}


@ARTICLE{Lechleiter2015_da021,
  author = {Armin Lechleiter and Dinh-Liem Nguyen},
  title = {Scattering of Herglotz waves from periodic structures and mapping properties of the Bloch transform},
  journal = {Proceedings of the Royal Society of Edinburgh, Section: A Mathematics },
  volume = {145},
  number = {6},
  pages = {1283-1311},
  year = {2015},
  doi = {10.1017/S0308210515000335}
}


@ARTICLE{Peters2015_3fea2,
  author = {Stefan Peters and Armin Lechleiter},
  title = {The inside–outside duality for inverse scattering problems with near field data},
  journal = {Inverse Problems},
  volume = {31},
  number = {8},
  pages = {085004},
  publisher = {IOPscience},
  year = {2015},
  doi = {10.1088/0266-5611/31/8/085004}
}


@ARTICLE{Lechleiter2015_37fbf,
  author = {Armin Lechleiter},
  title = {The MUSIC Algorithm for Impedance Tomography of Small Inclusions from Discrete Data},
  journal = {Inverse Problems},
  volume = {31},
  number = {9},
  pages = {095004},
  publisher = {IOPscience},
  year = {2015},
  doi = {10.1088/0266-5611/31/9/095004}
}


@ARTICLE{Monk2015_15c85,
  author = {P. Monk and Armin Lechleiter},
  title = {The Time Domain Lippmann-Schwinger Equation and Convolution Quadrature},
  journal = {Numerical Methods for Partial Differential Equations},
  volume = {31},
  number = {2},
  pages = {517-540},
  publisher = {Wiley},
  year = {2015},
  doi = {10.1002/num.21921}
}


@ARTICLE{Lechleiter2015_bccc0,
  author = {Armin Lechleiter and Tobias Rienmüller},
  title = {Time-Harmonic Acoustic Wave Scattering in an Ocean with Depth-Dependent Sound Speed},
  journal = {Applicable Analysis - An International Journal},
  volume = {95},
  pages = {978-999},
  year = {2015},
  doi = {10.1080/00036811.2015.1047831}
}


@ARTICLE{Lechleiter2014_d81fb,
  author = {Armin Lechleiter and Dinh-Liem Nguyen},
  title = {A Trigonometric Galerkin Method for Volume Integral Equations Arising in TM Grating Scattering},
  journal = {Advances in Computational Mathematics},
  volume = {40},
  number = {1},
  pages = {1-25},
  publisher = {Springer Verlag},
  year = {2014},
  doi = {10.1007/s10444-013-9295-2}
}


@ARTICLE{Haddar2014_e4cb4,
  author = {H. Haddar and Armin Lechleiter and Simon Marmorat},
  title = {An improved time domain linear sampling method for Robin and Neumann obstacles},
  journal = {Applicable Analysis - An International Journal},
  volume = {93},
  number = {2},
  pages = {2014},
  publisher = {Taylor & Francis},
  year = {2014},
  doi = {10.1080/00036811.2013.772583}
}


@ARTICLE{Lechleiter2014_55263,
  author = {Armin Lechleiter and Stefan Peters},
  title = {Analytical Characterization and Numerical Approximation of Interior Eigenvalues for Impenetrable Scatterers from Far Fields},
  journal = {Inverse Problems},
  volume = {4},
  number = {30},
  pages = {045006},
  publisher = {IOPscience},
  year = {2014},
  doi = {10.1088/0266-5611/30/4/045006}
}


@ARTICLE{Lechleiter2014_384ff,
  author = {Armin Lechleiter and H. Haddar and Zixian Jiang},
  title = {Artificial boundary conditions for axisymmetric eddy current probe problems},
  journal = {Computers & Mathematics with Applications},
  volume = {68},
  number = {12},
  pages = {1844-1870},
  year = {2014},
  doi = {doi:10.1016/j.camwa.2014.10.008}
}


@ARTICLE{Arens2013_699c5,
  author = {T. Arens and K. Sandfort and S. Schmitt and Armin Lechleiter},
  title = {Analysing Ewald's method for the evaluation of Green's functions for periodic media},
  journal = {IMA Journal of Applied Mathematics},
  volume = {78},
  number = {3},
  pages = {405-431},
  year = {2013},
  doi = {10.1093/imamat/hxr057}
}


@ARTICLE{Lechleiter2013_0d706,
  author = {Armin Lechleiter and D. L. Nguyen},
  title = {Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures},
  journal = {SIAM Journal on Imaging Sciences},
  volume = {6},
  number = {2},
  pages = {1111-1139},
  publisher = {SIAM},
  year = {2013},
  doi = {10.1137/120903968}
}


@ARTICLE{Lechleiter2013_5f201,
  author = {Armin Lechleiter and Tobias Rienmüller},
  title = {Factorization Method for the Inverse Stokes Problem},
  journal = {Inverse Problems and Imaging},
  volume = {7},
  number = {4},
  pages = {1271-1293},
  year = {2013},
  doi = {doi:10.3934/ipi.2013.7.1271 }
}


@ARTICLE{Lechleiter2013_12aeb,
  author = {Armin Lechleiter and D. L. Nguyen},
  title = {On Uniqueness in Electromagnetic Scattering from Biperiodic Structures },
  journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
  volume = {47},
  pages = {1167-1184},
  year = {2013},
  doi = {10.1051/m2an/2012063}
}


@ARTICLE{Kirsch2013_125ed,
  author = {A. Kirsch and Armin Lechleiter},
  title = {The inside–outside duality for scattering problems by inhomogeneous media},
  journal = {Inverse Problems},
  volume = {29},
  number = {10},
  pages = {104011},
  publisher = {IOPscience},
  year = {2013},
  doi = {doi:10.1088/0266-5611/29/10/104011}
}


@ARTICLE{Lechleiter2013_57694,
  author = {Armin Lechleiter and Kamil Kazimierski and Mirza Karamehmedovic},
  title = {Tikhonov regularization in L^p applied to inverse medium scattering},
  journal = {Inverse Problems},
  annote = {  },
  volume = {29},
  pages = {075003},
  publisher = {IOPscience},
  year = {2013},
  doi = {doi:10.1088/0266-5611/29/7/075003}
}


@ARTICLE{Lechleiter2013_18e7e,
  author = {Armin Lechleiter and D. L. Nguyen},
  title = {Volume Integral Equations for Scattering from Anisotropic Diffraction Gratings},
  journal = {Mathematical Methods in the Applied Sciences},
  volume = {36},
  number = {3},
  pages = {262–274},
  year = {2013},
  doi = {10.1002/mma.2585}
}


@ARTICLE{Bellis2012_b3d38,
  author = {Cedric Bellis and Andrei Constantinescu and Thomas Coquet and Thomas Jaravel and Armin Lechleiter},
  title = {A non-iterative sampling approach using noise subspace projection for EIT },
  journal = {Inverse Problems},
  volume = {28},
  pages = {075015},
  publisher = {IOPscience},
  year = {2012},
  doi = {doi:10.1088/0266-5611/28/7/075015}
}


@ARTICLE{Lechleiter2012_37689,
  author = {Armin Lechleiter and D. L. Nguyen},
  title = {Spectral volumetric integral equation methods for acoustic medium scattering in a planar homogeneous 3D waveguide},
  journal = {IMA Journal of Numerical Analysis},
  volume = {32},
  number = {3},
  pages = {813-844},
  year = {2012},
  doi = {10.1093/imanum/drr036}
}


@ARTICLE{Arens2011_ebbc9,
  author = {T. Arens and D. Gintides and Armin Lechleiter},
  title = {Direct and inverse medium scattering in a 3D homogeneous planar waveguide},
  journal = {SIAM Journal on Applied Mathematics},
  volume = {71},
  pages = {753-772},
  publisher = {SIAM},
  year = {2011},
  doi = {10.1137/100806333}
}


@ARTICLE{Haddar2011_bc8ee,
  author = {H. Haddar and Armin Lechleiter},
  title = {Electromagnetic wave scattering from rough penetrable layers},
  journal = {SIAM Journal on Mathematical Analysis},
  volume = {43},
  number = {5},
  pages = {2418-2443 },
  year = {2011}
}


@ARTICLE{Lechleiter2011_002c5,
  author = {Armin Lechleiter},
  title = {Explicit characterization of the support of non-linear inclusions},
  journal = {Inverse Problems and Imaging},
  volume = {5},
  pages = {675-694},
  year = {2011},
  doi = {10.3934/ipi.2011.5.675}
}


@ARTICLE{Chen2010_610c0,
  author = {Q. Chen and H. Haddar and Armin Lechleiter and P. Monk},
  title = {A Sampling Method for Inverse Scattering in the Time Domain},
  journal = {Inverse Problems},
  volume = {26},
  pages = {085001},
  publisher = {IOPscience},
  year = {2010},
  doi = {10.1088/0266-5611/26/8/085001}
}


@ARTICLE{Lechleiter2010_0bcc0,
  author = {Armin Lechleiter and S. Ritterbusch},
  title = {A variational method for scattering from penetrable rough layers},
  journal = {IMA Journal of Applied Mathematics},
  volume = {75},
  pages = {366-391},
  year = {2010},
  doi = {10.1093/imamat/hxp040}
}


@ARTICLE{Haddar2010_204f3,
  author = {H. Haddar and Armin Lechleiter},
  title = {Asymptotic models for scattering problems from unbounded media with high conductivity},
  journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
  volume = {44},
  pages = {1295-1317},
  year = {2010},
  doi = {10.1051/m2an/2010029}
}


@ARTICLE{Lechleiter2010_4d4e9,
  author = {Armin Lechleiter},
  title = {Imaging of Periodic Dielectrics},
  journal = {BIT Numerical Mathematics},
  volume = {50},
  pages = {59-83},
  year = {2010},
  doi = {10.1007/s10543-010-0255-7}
}


@ARTICLE{Lechleiter2010_6aec5,
  author = {Armin Lechleiter and A. Rieder},
  title = {Towards a general convergence theory for inexact Newton regularizations},
  journal = {Numerische Mathematik},
  volume = {114},
  pages = {521-548},
  year = {2010},
  doi = {10.1007/s00211-009-0256-0}
}


@ARTICLE{Arens2009_4e714,
  author = {T. Arens and Armin Lechleiter and D. R.  Luke },
  title = {MUSIC for extended scatterers as an instance of the Factorization method},
  journal = {SIAM Journal on Applied Mathematics},
  volume = {70},
  pages = {1283-1304},
  publisher = {SIAM},
  year = {2009},
  doi = {10.1137/080737836}
}


@ARTICLE{Lechleiter2009_dc1a4,
  author = {Armin Lechleiter},
  title = {The factorization method is independent of transmission eigenvalues},
  journal = {Inverse Problems and Imaging},
  volume = {3},
  pages = {123-138},
  year = {2009},
  doi = {10.3934/ipi.2009.3.123}
}


@ARTICLE{Arens2009_8b55e,
  author = {T. Arens and Armin Lechleiter},
  title = {The linear sampling method revisited},
  journal = {Journal of Integral Equations and Applications},
  volume = {21},
  pages = {179-202},
  year = {2009},
  doi = {10.1216/JIE-2009-21-2-179}
}


@ARTICLE{Kirsch2009_c0665,
  author = {A. Kirsch and Armin Lechleiter},
  title = {The operator equations of Lippmann-Schwinger type for acoustic and electromagnetic scattering problems in L^2},
  journal = {Applicable Analysis - An International Journal},
  volume = {88},
  pages = {807-830},
  year = {2009},
  doi = {10.1080/00036810903042125}
}


@ARTICLE{Lechleiter2008_d00d0,
  author = {Armin Lechleiter and A. Rieder},
  title = {Newton regularizations for impedance tomography: convergence by local injectivity},
  journal = {Inverse Problems},
  volume = {24},
  pages = {065009},
  publisher = {IOPscience},
  year = {2008},
  doi = {10.1088/0266-5611/24/6/065009}
}


@ARTICLE{Lechleiter2008_dc114,
  author = {Armin Lechleiter and N. Hyvönen and H. Hakula},
  title = {The factorization method applied to the complete electrode model of impedance tomography},
  journal = {SIAM Journal on Applied Mathematics},
  volume = {68},
  pages = {1097-1121},
  year = {2008},
  doi = {10.1137/070683295}
}


@ARTICLE{Arens2008_35905,
  author = {T. Arens and D. Gintides and Armin Lechleiter},
  title = {Variational formulations for scattering in a 3-dimensional acoustic waveguide},
  journal = {Mathematical Methods in the Applied Sciences},
  volume = {31},
  pages = {821-847},
  publisher = {WILEY-VCH},
  year = {2008},
  doi = {10.1002/mma.947}
}


@ARTICLE{Lechleiter2006_4d4df,
  author = {Armin Lechleiter},
  title = {A regularization technique for the factorization method},
  journal = {Inverse Problems},
  volume = {22},
  pages = {1605-1625},
  publisher = {IOPscience},
  year = {2006},
  doi = {10.1088/0266-5611/22/5/006}
}


@ARTICLE{Lechleiter2006_6db8b,
  author = {Armin Lechleiter and A. Rieder},
  title = {Newton regularizations for impedance tomography: a numerical study},
  journal = {Inverse Problems},
  volume = {22},
  pages = {1967-1987},
  publisher = {IOPscience},
  year = {2006},
  doi = {doi:10.1088/0266-5611/22/6/004}
}





@CONFERENCE{Bosse2014_4e9c7,
  author = {Stefan Bosse and Armin Lechleiter},
  title = {Structural Health and Load Monitoring with Material-embedded Sensor Networks and Self-organizing Multi-Agent Systems},
  booktitle = {SysInt - 2nd International Conference on System-integrated Intelligence, 02.07.2014-04.07.2014, Bremen, Deutschland},
  volume = {15},
  pages = {669-691},
  year = {2014}
}


@CONFERENCE{Lechleiter2011_cb6c7,
  author = {Armin Lechleiter and H. Haddar and Zixian Jiang and Mabrouka El Guedri},
  title = {Eddy current tomography of deposits in steam generators },
  booktitle = {19th European Signal Processing Conference (EUSIPCO 2011), August 29 - September 2, 2011, Barcelona, Spanien},
  pages = {2054-2058},
  year = {2011}
}