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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 6
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Original Articles

The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems in L2

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Pages 807-830 | Received 06 Aug 2008, Accepted 01 Apr 2009, Published online: 05 Aug 2009

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M. Yu. Medvedik, Yu. G. Smirnov & A. A. Tsupak. (2020) Non-iterative two-step method for solving scalar inverse 3D diffraction problem. Inverse Problems in Science and Engineering 28:10, pages 1474-1492.
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Kimberly Kilgore, Shari Moskow & John C. Schotland. (2017) Convergence of the Born and inverse Born series for electromagnetic scattering. Applicable Analysis 96:10, pages 1737-1748.
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M. Yu. Medvedik, Yu. G. Smirnov, A. A. Tsupak & D. V. Valovik. (2016) Vector problem of electromagnetic wave diffraction by a system of inhomogeneous volume bodies, thin screens, and wire antennas. Journal of Electromagnetic Waves and Applications 30:8, pages 1086-1100.
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Articles from other publishers (21)

G. Matoussi & H. Sakly. (2024) The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous obstacle with Lipschitz boundary and regularization. Zeitschrift für angewandte Mathematik und Physik 75:1.
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Ignacio Labarca & Ralf Hiptmair. (2024) Volume Integral Equations and Single-Trace Formulations for Acoustic Wave Scattering in an Inhomogeneous Medium. Computational Methods in Applied Mathematics 24:1, pages 119-139.
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H. Sakly & G. Matoussi. (2024) Volume integral equations for electromagnetic scattering by an orthotropic infinite cylinder. Journal of Mathematical Analysis and Applications 529:1, pages 127670.
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Yury G. Smirnov & Aleksei A. Tsupak. (2022) Direct and inverse scalar scattering problems for the Helmholtz equation in ℝ m . Journal of Inverse and Ill-posed Problems 30:1, pages 101-116.
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S. Molesky, P. Chao, J. Mohajan, W. Reinhart, H. Chi & A. W. Rodriguez. (2022) -operator limits on optical communication: Metaoptics, computation, and input-output transformations . Physical Review Research 4:1.
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Juan C. Araújo & Eddie Wadbro. (2021) Shape optimization for the strong directional scattering of dielectric nanorods. International Journal for Numerical Methods in Engineering 122:15, pages 3683-3704.
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Ali Bouzekri & Mourad Sini. (2021) Mesoscale Approximation of the Electromagnetic Fields. Annales Henri Poincaré 22:6, pages 1979-2028.
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David M Ambrose, Eesha Das Gupta, Shari Moskow, Valentina Ozornina & Gideon Simpson. (2019) Detection of thin high contrast dielectrics from boundary measurements. Journal of Physics Communications 3:11, pages 115016.
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Andrea Mantile, Andrea Posilicano & Mourad Sini. (2018) Uniqueness in inverse acoustic scattering with unbounded gradient across Lipschitz surfaces. Journal of Differential Equations 265:9, pages 4101-4132.
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Duan Chen, Min Hyung Cho & Wei Cai. (2018) Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media. SIAM Journal on Scientific Computing 40:1, pages B259-B282.
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Lyes Rahmouni, Rajendra Mitharwal & Francesco P. Andriulli. (2017) Two volume integral equations for the inhomogeneous and anisotropic forward problem in electroencephalography. Journal of Computational Physics 348, pages 732-743.
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Marc Bonnet. (2016) Solvability of a volume integral equation formulation for anisotropic elastodynamic scattering. Journal of Integral Equations and Applications 28:2.
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Dinh-Liem Nguyen. (2015) A volume integral equation method for periodic scattering problems for anisotropic Maxwell's equations. Applied Numerical Mathematics 98, pages 59-78.
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Martin Costabel, Eric Darrigrand & Hamdi Sakly. (2015) Volume integral equations for electromagnetic scattering in two dimensions. Computers & Mathematics with Applications 70:8, pages 2087-2101.
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Y. G. Smirnov & A. A. Tsupak. (2015) Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies. Advances in Mathematical Physics 2015, pages 1-6.
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M. Costabel. 2015. Integral Methods in Science and Engineering. Integral Methods in Science and Engineering 119 127 .
M. Yu. Medvedik, Yu. G. Smirnov & A. A. Tsupak. (2014) Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies. Computational Mathematics and Mathematical Physics 54:8, pages 1280-1292.
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Armin Lechleiter & Dinh-Liem Nguyen. (2013) A trigonometric Galerkin method for volume integral equations arising in TM grating scattering. Advances in Computational Mathematics 40:1, pages 1-25.
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Armin Lechleiter & Dinh‐Liem Nguyen. (2012) Volume integral equations for scattering from anisotropic diffraction gratings. Mathematical Methods in the Applied Sciences 36:3, pages 262-274.
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Jacob T. Fokkema & Peter M. van den Berg. (2012) Stretched backgrounds for acoustic scattering models. Journal of Computational Physics 231:4, pages 1728-1742.
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Martin Costabel, Eric Darrigrand & Hamdi Sakly. (2012) The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body. Comptes Rendus. Mathématique 350:3-4, pages 193-197.
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