Research presentation
Yury Shestopalov
Professor
Research subject: Mathematics
Email: yury.shestopalov@hig.se
Telephone: +46 26 64 89 18
Yury Shestopalov received his MSc in applied mathematics in 1975 and PhD and Doctor of Science degrees in mathematics and physics in 1978 and 1988, respectively, from Moscow State University. In 1989 he was a post doc at Royal Institute of Technology and Stockholm University, Sweden.
In 1978-2000 he was assistant, associate and full professor and department head at the Faculty of Computational Mathematics and Cybernetics and Kolmogorov School of Moscow State University. Since 2000 he is docent and since 2008 professor in applied mathematics at Karlstad University and since 2013 at University of Gävle.
Yury Shestopalov has been active in several scientific fields, such as mathematical methods for electromagnetics, partial differential and integral equations, numerical methods, inverse problems, nonlinear analysis and various applications in electromagnetic field theory connected with wave scattering, diffraction and propagation in linear and nonlinear media, investigations of materials, optics, contact mechanics, solution to large-scale problems with uncertain data, and supercomputer technologies. Among his scientific interests are studies in didactics of applied mathematics. He is currently professor at University of Gävle.
CURRENT RESEARCH
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Scholarly articles, refereed
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.
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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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