Forskarpresentation
Yury Shestopalov
Professor
Forskningsämne: Matematik
E-post: yury.shestopalov@hig.se
Telefon: 026-64 89 18
AKTUELL FORSKNING
Matematiska metoder för elektromagnetisk fältteori, partiella differentialekvationer, numeriska metoder, inversproblem, ickelinjär analys, lösningsmetoder för storskaliga problem med osäkra data inriktade mot superdatorer; olika applikationer inom teoretisk elektroteknik inklusive vågutbredning i ickelinjära media, nya dielektriska material, optik, samt kontaktmekanik. Forskningsintressena inkluderar riskanalys och beslutsfattande metoder samt matematikdidaktik.
LÄS MER OM
Vetenskapliga artiklar, refereegranskade
Shestopalov, Y. & Matekovits, L. (2023). Perfectly conducting cylinder covered by two layers of dielectric separated by an infinitely thin impedance layer: multiple suppression of the scattered field harmonics (rigorous approach). Optics Express, 31 (5), 7863-7886. 10.1364/oe.473217
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Shestopalov, Y. (2023). Resonance frequencies of arbitrarily shaped dielectric cylinders. Applicable Analysis, 102 (6), 1618-1632. 10.1080/00036811.2021.1992397
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Abgaryan, G. & Shestopalov, Y. (2023). TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder. Mathematics, 11 (9). 10.3390/math11091991
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Sheina, E., Smirnov, A. & Shestopalov, Y. (2022). Optimal parameters of a multi-frequency experiment in an inverse problem of determining the dielectric constant of an inclusion in free space and in a waveguide. Measurement, 187. 10.1016/j.measurement.2021.110357
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Smirnov, Y., Smolkin, E. & Shestopalov, Y. (2022). Surface waves in a Goubau line filled with nonlinear anisotropic inhomogeneous medium. Applicable Analysis, 10 (17), 6172-6190. 10.1080/00036811.2021.1919645
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Smolkin, E., Smirnov, Y. & Shestopalov, Y. (2022). Surface waves in an open circular waveguide filled with inhomogeneous chiral media. Journal Electromagnetic Waves and Applications, 36 (4), 505-519. 10.1080/09205071.2021.1973913
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Sheina, E., Shestopalov, Y. & Smirnov, A. (2021). Advantages of a multi-frequency experiment for determining the dielectric constant of a layer in a rectangular waveguide and free space. Radio Science, 56 (3). 10.1029/2020RS007115
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Lagovsky, B., Samokhin, A. & Shestopalov, Y. (2021). Angular superresolution based on a priori information. Radio Science, 56 (3). 10.1029/2020RS007100
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Shestopalov, Y. (2021). Cloaking: analytical theory for benchmark structures. Journal of Electromagnetic Waves and Applications, 35 (4), 485-510. 10.1080/09205071.2020.1846629
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Nakonechnyi, O., Podlipenko, Y. & Shestopalov, Y. (2021). Guaranteed a posteriori estimation of uncertain data in exterior Neumann problems for Helmholtz equation from inexact indirect observations of their solutions. Inverse Problems in Science and Engineering, 29 (4), 525-535. 10.1080/17415977.2020.1797004
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Nakonechnyi, O., Podlipenko, Y. & Shestopalov, Y. (2021). Guaranteed Estimation of Solutions to the Cauchy Problem When the Restrictions on Unknown Initial Data Are Not Posed. Mathematics, 9 (24). 10.3390/math9243218
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Shestopalov, Y. & Martynova, V. (2021). Mathematical Theory of Surface Waves in a Lossy Inhomogeneous Dielectric Waveguide of Arbitrary Cross Section. Lobachevskii Journal of Mathematics, 42 (6), 1418-1429. 10.1134/S1995080221060263
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Alekseev, G., Tereshko, D. & Shestopalov, Y. (2021). Optimization approach for axisymmetric electric field cloaking and shielding. Inverse Problems in Science and Engineering, 29 (1), 40-55. 10.1080/17415977.2020.1772780
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Shestopalov, Y. & Shakhverdiev, A. (2021). Qualitative theory of two-dimensional polynomial dynamical systems. Symmetry, 13 (10). 10.3390/sym13101884
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Shestopalov, Y. (2021). Resonance scattering by a circular dielectric cylinder. Radio Science, 56 (6). 10.1029/2020RS007095
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Ivanchenko, I., Khruslov, M., Popenko, N., Plakhtii, V., Rönnow, D. & Shestopalov, Y. (2020). A novel resonance method for determining the complex permittivity of local inclusions in a rectangular waveguide. Measurement science and technology, 31 (9). 10.1088/1361-6501/ab870f
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Kimsis, K., Semenjako, J. & Shestopalov, Y. (2020). Effectively Tunable Bandpass Waveguide Filter Based on Incorporation of Coupled Cylindrical Resonators Cut in Half. Electrical control and communication engineering, 16 (2), 78-87.
Länk
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Shestopalov, Y., Smirnov, A., Zagidullin, R., Matveev, S. & Rykovanov, S. (2020). Hybrid Parallelism in Finite Volume Based Algorithms in Application to Two-Dimensional Scattering Problem Setting. Computational Mathematics and Modeling, 31 (3), 355-363. 10.1007/s10598-020-09496-6
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Smolkin, E., Shestopalov, Y. & Snegur, M. (2020). Surface waves in a nonlinear metamaterial rod. Radio Science, 55 (10), 1-8. 10.1029/2020RS007101
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Shestopalov, Y. (2020). Trigonometric and cylindrical polynomials and their applications in electromagnetics. Applicable Analysis, 99 (16), 2807-2822. 10.1080/00036811.2019.1584290
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Shakhverdiev, A., Shestopalov, Y., Mandrik, I. & Arefiev, S. (2019). Alternative concept of monitoring and optimization water flooding of oil reservoirs in the conditions of instability of the displacement front. Neftânoe hozâjstvo, 2019 (12), 118-123. 10.24887/0028-2448-2019-12-118-123
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Shestopalov, Y., Shakhverdiev, A., Mandrik, I. & Arefiev, S. (2019). Alternative conception of the monitoring and optimization of water flooding of oil reservoirs under instability of displacement front. Oil industry (Neftyanoye khozyaystvo) (12), 118-123.
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Smirnov, Y., Smolkin, E. & Shestopalov, Y. (2019). Diffraction of a TE-Polarized Wave by a Nonlinear Goubau Line. Radio Science, 54 (1), 151-157. 10.1029/2018RS006629
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Shestopalov, Y., Samokhin, A. & Samokhina, A. (2019). Iterative Gradient Descent Methods for Solving Linear Equations. Computational Mathematics and Mathematical Physics, 59 (8), 1267-1274. 10.1134/S0965542519080141
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Shestopalov, Y., Smolkin, E. & Smirnov, Y. (2019). On the existence of the nonlinear leaky TE-polarized waves in a metal–dielectric cylindrical waveguide. Wave motion, 91. 10.1016/j.wavemoti.2019.102378
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Shestopalov, Y. & Shakhverdiev, A. (2019). Qualitative Analysis of Quadratic Polynomial Dynamical Systems Associated with the Modeling and Monitoring of Oil Fields. Lobachevskii Journal of Mathematics, 40 (10), 1695-1710. 10.1134/S1995080219100226
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Nakonechnyi, O., Podlipenko, Y. & Shestopalov, Y. (2019). The Minimax Estimation Method for a Class of Inverse Helmholtz Transmission Problems. Minimax Theory and its Applications, 4 (2), 305-328.
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Shestopalov, Y. (2018). Complex waves in a dielectric waveguide. Wave motion, 82, 16-19. 10.1016/j.wavemoti.2018.07.005
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Samokhin, A., Samokhina, A. & Shestopalov, Y. (2018). Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism. Differential equations, 54 (9), 1225-1235. 10.1134/S0012266118090100
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Shestopalov, Y. & Kuzmina, E. (2018). On a rigorous proof of the existence of complex waves in a dielectric waveguide of circular cross section. Progress in Electromagnetics Research B, 82, 137-164. 10.2528/PIERB18050102
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Smirnov, Y., Smolkin, E. & Shestopalov, Y. (2018). On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium. Journal Electromagnetic Waves and Applications, 32 (11), 1389-1408. 10.1080/09205071.2018.1438929
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Shestopalov, Y. (2018). Singularities of the transmission coefficient and anomalous scattering by a dielectric slab. Journal of Mathematical Physics, 59 (3). 10.1063/1.5027195
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Shestopalov, Y., Smolkin, E. & Kuzmina, E. (2018). Spectra of Nonselfadjoint Eigenvalue Problems for Elliptic Systems in Mathematical Models of the Wave Propagation in Open Waveguides. Lobachevskii Journal of Mathematics, 39 (8), 1117-1129. 10.1134/S1995080218080097
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Kuzmina, E. & Shestopalov, Y. (2018). Symmetric surface complex waves in Goubau Line. Cogent Engineering, 5 (1). 10.1080/23311916.2018.1507083
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Shestopalov, Y. & Kuzmina, E. (2018). Symmetric surface waves along a metamaterial dielectric waveguide and a perfectly conducting cylinder covered by a metamaterial layer. Advanced Electromagnetics (AEM), 7 (2), 91-98. 10.7716/aem.v7i2.792
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Samokhin, A., Samokhina, A. & Shestopalov, Y. (2017). Analysis and solution method for problems of electromagnetic wave scattering on dielectric and perfectly conducting structures. Differential equations, 53 (9), 1165-1173. 10.1134/S0012266117090075
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Podlipenko, Y. & Shestopalov, Y. (2017). Guaranteed estimation of solutions to Helmholtz transmission problems with uncertain data from their indirect noisy observations. Radio Science, 52 (9), 1129-1139. 10.1002/2017RS006293
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Smolkin, E. & Shestopalov, Y. (2017). Nonlinear Goubau line : analytical-numerical approaches and new propagation regimes. Journal Electromagnetic Waves and Applications, 31 (8), 781-797. 10.1080/09205071.2017.1317036
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Beilina, L., Bondestam Malmberg, J., Cristofol, M. & Shestopalov, Y. (2017). Preface for the session "recent Progress in Electromagnetic Field Theory and New Trends in Inverse Problems". AIP Conference Proceedings, 1863. 10.1063/1.4992548
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Podlipenko, Y. & Shestopalov, Y. (2016). Mixed variational approach to finding guaranteed estimates from solutions and right-hand sides of the second-order linear elliptic equations under incomplete data. Minimax Theory and its Applications, 1 (2), 197-244.
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Shestopalov, Y. (2015). Resonant states in waveguide transmission problems. Progress in Electromagnetics Research B, 64 (1), 119-143. 10.2528/PIERB15083001
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Shestopalov, Y. & Smirnov, Y. (2014). Eigenwaves in Waveguides with Dielectric Inclusions : Spectrum. Applicable Analysis, 93 (2), 408-427. 10.1080/00036811.2013.778980
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Shestopalov, Y. & Smirnov, Y. (2014). Eigenwaves in waveguides with dielectric inclusions : completeness. Applicable Analysis, 93 (9), 1824-1845. 10.1080/00036811.2013.850494
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Shestopalov, Y., Podlipenko, Y. & Nakonechnyi, O. (2014). Estimation of Parameters of Boundary Value Problems for Linear Ordinary Differential Equations with Uncertain Data. Advances in Pure Mathematics, 4 (4), 118-146. 10.4236/apm.2014.44019
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Smirnov, Y., Shestopalov, Y. & Derevyanchuk, E. (2014). Inverse problem method for complex permittivity reconstruction of layered media in a rectangular waveguide. Physica Status Solidi. C, Current topics in solid state physics, 11 (5-6), 969-974. 10.1002/pssc.201300697
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Shestopalov, Y., Kuzmina, E. & Samokhin, A. (2014). On a Mathematical Theory of Open Metal-Dielectric Waveguides. Forum for Electromagnetic Research Methods and Application Technologies (FERMAT), 5.
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Podlipenko, Y. & Shestopalov, Y. (2013). Guaranteed Estimates of Functionals from Solutions and Data of Interior Maxwell Problems Under Uncertainties. Springer Proceedings in Mathematics & statistics, 52, 135-167. 10.1007/978-3-319-00660-4_10
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Angermann, L., Shestopalov, Y. & Yatsyk, V. (2013). Mathematical models for scattering and generation of plane wave packets on layered cubically polarisable structures. Far East Journal of Applied Mathematics, 81 (1-2), 1-31.
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Smirnov, A., Semenov, A. & Shestopalov, Y. (2013). Modeling of Electromagnetic Wave Propagation in Guides with Inhomogeneous Dielectric Inclusions. Springer Proceedings in Mathematics & statistics, 52, 113-118. 10.1007/978-3-319-00660-4_8
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Samokhin, A., Shestopalov, Y. & Kobayashi, K. (2013). Stationary iteration methods for solving 3D electromagnetic scattering problems. Applied Mathematics and Computation, 222, 107-122. 10.1016/j.amc.2013.07.019
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Shestopalov, Y. & Smirnov, Y. (2012). Inverse scattering in guides. Journal of Physics, Conference Series, 346 (1). 10.1088/1742-6596/346/1/012019
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Shestopalov, Y. & Smirnov, Y. (2011). Determination of permittivity of an inhomogeneous dielectric body in a waveguide. Inverse Problems, 27 (9). 10.1088/0266-5611/27/9/095010
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