Maltez-Faria, Luiz; Pérez-Arancibia, Carlos; Turc, Catalin Combined field-only boundary integral equations for PEC electromagnetic scattering problem in spherical geometries. (English) Zbl 07802045 SIAM J. Appl. Math. 84, No. 1, 19-38 (2024). MSC: 65N38 65T40 65F08 65F10 65R20 78A45 78A40 78M15 35Q61 35J05 35J08 35A01 35A02 PDFBibTeX XMLCite \textit{L. Maltez-Faria} et al., SIAM J. Appl. Math. 84, No. 1, 19--38 (2024; Zbl 07802045) Full Text: DOI arXiv
Sakly, H.; Matoussi, G. Volume integral operators in electromagnetic scattering by homogeneous anisotropic dielectric bodies. (English) Zbl 07798252 J. Math. Sci., New York 271, No. 3, Series A, 310-321 (2023). MSC: 35Q61 78A45 78A40 35R09 45K05 45B05 35J05 47A10 65R15 PDFBibTeX XMLCite \textit{H. Sakly} and \textit{G. Matoussi}, J. Math. Sci., New York 271, No. 3, 310--321 (2023; Zbl 07798252) Full Text: DOI
Tadi, M. A numerical method for inverse Helmholtz problem based on approximate inverse of a matrix. (English) Zbl 07772639 Comput. Math. Appl. 150, 125-131 (2023). MSC: 65-XX 35R30 35J05 65N21 65R32 78A46 PDFBibTeX XMLCite \textit{M. Tadi}, Comput. Math. Appl. 150, 125--131 (2023; Zbl 07772639) Full Text: DOI
Galkowski, J.; Spence, E. A. Does the Helmholtz boundary element method suffer from the pollution effect? (English) Zbl 1522.65235 SIAM Rev. 65, No. 3, 806-828 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 65N30 65R20 35J05 33C10 78A40 78A45 78M15 35Q60 PDFBibTeX XMLCite \textit{J. Galkowski} and \textit{E. A. Spence}, SIAM Rev. 65, No. 3, 806--828 (2023; Zbl 1522.65235) Full Text: DOI arXiv
Mukherjee, Arpan; Sini, Mourad Heat generation using Lorentzian nanoparticles: estimation via time-domain techniques. (English) Zbl 07705314 Multiscale Model. Simul. 21, No. 2, 542-597 (2023). MSC: 35Q60 35Q79 35R30 78A35 78M15 35K05 35J05 35B40 35C20 PDFBibTeX XMLCite \textit{A. Mukherjee} and \textit{M. Sini}, Multiscale Model. Simul. 21, No. 2, 542--597 (2023; Zbl 07705314) Full Text: DOI arXiv
Ketov, I. V.; Spiridonov, A. O.; Repina, A. I.; Karchevskii, E. M. Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements. (English) Zbl 1520.78041 Lobachevskii J. Math. 44, No. 1, 325-340 (2023). MSC: 78A60 35Q61 35P30 65F15 35J05 35R09 45F05 PDFBibTeX XMLCite \textit{I. V. Ketov} et al., Lobachevskii J. Math. 44, No. 1, 325--340 (2023; Zbl 1520.78041) Full Text: DOI
Delgado, Briceyda B.; Kravchenko, Vladislav V. Biquaternionic treatment of inhomogeneous time-harmonic Maxwell’s equations over unbounded domains. (English) Zbl 1516.35397 Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 29, 26 p. (2023). MSC: 35Q60 78A25 15A67 35J05 35D30 44A15 PDFBibTeX XMLCite \textit{B. B. Delgado} and \textit{V. V. Kravchenko}, Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 29, 26 p. (2023; Zbl 1516.35397) Full Text: DOI
Nguyen, Dinh-Liem (ed.); Nguyen, Loc Hoang (ed.); Nguyen, Thi-Phong (ed.) Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13–14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23–24, 2021. (English) Zbl 1512.35009 Contemporary Mathematics 784. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6968-9/pbk; 978-1-4704-7288-7/ebook). vii, 206 p. (2023). MSC: 35-06 00B25 35J05 35R30 49N45 65M32 65N21 65R20 78A46 78M22 80A23 86A22 PDFBibTeX XMLCite \textit{D.-L. Nguyen} (ed.) et al., Recent advances in inverse problems for partial differential equations. AMS special session on recent developments on analysis and computation for inverse problems for PDEs, virtual, March 13--14, 2021 and AMS special session on recent advances in inverse problems for PDEs, virtual, October 23--24, 2021. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1512.35009) Full Text: DOI
Chen, Jiahui; Tausch, Johannes; Geng, Weihua A Cartesian FMM-accelerated Galerkin boundary integral Poisson-Boltzmann solver. (English) Zbl 07660343 J. Comput. Phys. 478, Article ID 111981, 19 p. (2023). MSC: 65Nxx 78Mxx 78Axx PDFBibTeX XMLCite \textit{J. Chen} et al., J. Comput. Phys. 478, Article ID 111981, 19 p. (2023; Zbl 07660343) Full Text: DOI arXiv
Gibbs, A.; Langdon, S. An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles. arXiv:2310.17603 Preprint, arXiv:2310.17603 [math.NA] (2023). MSC: 35J05 78A45 30E20 65F20 BibTeX Cite \textit{A. Gibbs} and \textit{S. Langdon}, ``An efficient frequency-independent numerical method for computing the far-field pattern induced by polygonal obstacles'', Preprint, arXiv:2310.17603 [math.NA] (2023) Full Text: arXiv OA License
Klionovski, Kirill; Bankov, Sergey Electromagnetic wave scattering by a half-plane with generalized semitransparent boundary conditions. (English) Zbl 1507.78005 Waves Random Complex Media 32, No. 5, 2245-2256 (2022). MSC: 78A45 78A10 78A40 35B40 35J05 PDFBibTeX XMLCite \textit{K. Klionovski} and \textit{S. Bankov}, Waves Random Complex Media 32, No. 5, 2245--2256 (2022; Zbl 1507.78005) Full Text: DOI
Zhang, Wenzhong; Wang, Bo; Cai, Wei A matrix basis formulation for the dyadic Green’s functions of Maxwell’s equations in layered media. (English) Zbl 1502.35162 SIAM J. Appl. Math. 82, No. 5, 1710-1732 (2022). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q61 78A30 78A48 35J05 35J08 42B10 44A15 15A69 65D32 PDFBibTeX XMLCite \textit{W. Zhang} et al., SIAM J. Appl. Math. 82, No. 5, 1710--1732 (2022; Zbl 1502.35162) Full Text: DOI
Jerez-Hanckes, Carlos; Pinto, José Spectral Galerkin method for solving Helmholtz boundary integral equations on smooth screens. (English) Zbl 1502.65203 IMA J. Numer. Anal. 42, No. 4, 3571-3608 (2022). MSC: 65N30 65N35 35J05 65R20 45B05 65D30 78A45 35Q60 PDFBibTeX XMLCite \textit{C. Jerez-Hanckes} and \textit{J. Pinto}, IMA J. Numer. Anal. 42, No. 4, 3571--3608 (2022; Zbl 1502.65203) Full Text: DOI
Zyza, Aleksandr Vasil’evich; Khomyak, Tat’yana Valer’evna; Platonova, Elena Sergeevna New classes of particular solutions to one problem on gyrostat motion. (Russian. English summary) Zbl 1509.70003 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 298-318 (2022). MSC: 70E05 70E17 70E40 78A99 PDFBibTeX XMLCite \textit{A. V. Zyza} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 298--318 (2022; Zbl 1509.70003) Full Text: DOI MNR
Li, Lili; Li, Jianliang Recovery of an infinite rough surface by a nonlinear integral equation method from phaseless near-field data. (English) Zbl 1502.65287 J. Inverse Ill-Posed Probl. 30, No. 5, 743-758 (2022). MSC: 65R32 35J05 35P25 35R30 78A46 45Q05 PDFBibTeX XMLCite \textit{L. Li} and \textit{J. Li}, J. Inverse Ill-Posed Probl. 30, No. 5, 743--758 (2022; Zbl 1502.65287) Full Text: DOI
Pleshchinskaya, I. E.; Pleshchinskii, N. B. Maxwell equations in anisotropic half-space and integral equations of problem of electromagnetic wave diffraction by screen. (English) Zbl 1501.35388 Lobachevskii J. Math. 43, No. 5, 1251-1259 (2022). MSC: 35Q61 78A45 35N25 35J05 42B10 15A18 45F05 PDFBibTeX XMLCite \textit{I. E. Pleshchinskaya} and \textit{N. B. Pleshchinskii}, Lobachevskii J. Math. 43, No. 5, 1251--1259 (2022; Zbl 1501.35388) Full Text: DOI
Hiptmair, Ralf; Moiola, Andrea; Spence, Euan A. Spurious quasi-resonances in boundary integral equations for the Helmholtz transmission problem. (English) Zbl 1497.35105 SIAM J. Appl. Math. 82, No. 4, 1446-1469 (2022). MSC: 35J05 35J25 45A05 78A45 PDFBibTeX XMLCite \textit{R. Hiptmair} et al., SIAM J. Appl. Math. 82, No. 4, 1446--1469 (2022; Zbl 1497.35105) Full Text: DOI arXiv
Adams, Brian; Li, Kevin; Meklachi, Taoufik Spectral analysis of scattering resonances with application on high-contrast nanospheres. (English) Zbl 1494.78021 Lett. Math. Phys. 112, No. 4, Paper No. 70, 13 p. (2022). MSC: 78M35 78A45 35J05 35B27 35B34 65R20 65N80 PDFBibTeX XMLCite \textit{B. Adams} et al., Lett. Math. Phys. 112, No. 4, Paper No. 70, 13 p. (2022; Zbl 1494.78021) Full Text: DOI arXiv
Ma, Shiqi; Salo, Mikko Fixed angle inverse scattering in the presence of a Riemannian metric. (English) Zbl 1493.35114 J. Inverse Ill-Posed Probl. 30, No. 4, 495-520 (2022). MSC: 35Q60 35J05 31B10 35R30 78A40 PDFBibTeX XMLCite \textit{S. Ma} and \textit{M. Salo}, J. Inverse Ill-Posed Probl. 30, No. 4, 495--520 (2022; Zbl 1493.35114) Full Text: DOI arXiv
Dong, Heping; Zhang, Deyue; Chi, Yingwei An iterative scheme for imaging acoustic obstacle from phaseless total-field data. (English) Zbl 1494.65093 Inverse Probl. Imaging 16, No. 4, 925-942 (2022). MSC: 65N21 65N20 76Q05 78A46 65K10 65F20 65F22 65R20 35J05 65J20 35R30 35R25 35Q35 PDFBibTeX XMLCite \textit{H. Dong} et al., Inverse Probl. Imaging 16, No. 4, 925--942 (2022; Zbl 1494.65093) Full Text: DOI
Bedrossian, Jacob; Masmoudi, Nader; Mouhot, Clément Linearized wave-damping structure of Vlasov-Poisson in \(\mathbb{R}^3\). (English) Zbl 1497.35465 SIAM J. Math. Anal. 54, No. 4, 4379-4406 (2022). MSC: 35Q83 35Q60 35Q49 35B35 35B40 35C20 76Y05 78A25 45D05 44A10 42A38 PDFBibTeX XMLCite \textit{J. Bedrossian} et al., SIAM J. Math. Anal. 54, No. 4, 4379--4406 (2022; Zbl 1497.35465) Full Text: DOI arXiv
Alexopoulos, Konstantinos; Davies, Bryn Asymptotic analysis of subwavelength halide perovskite resonators. (English) Zbl 1504.35515 SN Partial Differ. Equ. Appl. 3, No. 4, Paper No. 44, 28 p. (2022). MSC: 35Q60 78A60 78A55 78A45 35P25 35J05 45E05 35B05 PDFBibTeX XMLCite \textit{K. Alexopoulos} and \textit{B. Davies}, SN Partial Differ. Equ. Appl. 3, No. 4, Paper No. 44, 28 p. (2022; Zbl 1504.35515) Full Text: DOI arXiv
Huang, Feimin; Yao, Yue Continued gravitational collapse for gaseous star and pressureless Euler-Poisson system. (English) Zbl 1491.35337 SIAM J. Math. Anal. 54, No. 3, 3139-3160 (2022). MSC: 35Q35 35Q85 35J61 45G10 76D05 78A30 85A30 PDFBibTeX XMLCite \textit{F. Huang} and \textit{Y. Yao}, SIAM J. Math. Anal. 54, No. 3, 3139--3160 (2022; Zbl 1491.35337) Full Text: DOI
Wang, Tingyu; Layton, Simon K.; Barba, Lorena A. Inexact GMRES iterations and relaxation strategies with fast-multipole boundary element method. (English) Zbl 1491.35350 Adv. Comput. Math. 48, No. 3, Paper No. 32, 25 p. (2022). MSC: 35Q35 35Q60 76D07 76Z05 78A30 35J05 45B05 65N38 65N35 65F10 65D32 78M16 92C35 PDFBibTeX XMLCite \textit{T. Wang} et al., Adv. Comput. Math. 48, No. 3, Paper No. 32, 25 p. (2022; Zbl 1491.35350) Full Text: DOI arXiv
Harris, I.; Kleefeld, A. Analysis and computation of the transmission eigenvalues with a conductive boundary condition. (English) Zbl 1491.35139 Appl. Anal. 101, No. 6, 1880-1895 (2022). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 35J05 35J35 78M15 PDFBibTeX XMLCite \textit{I. Harris} and \textit{A. Kleefeld}, Appl. Anal. 101, No. 6, 1880--1895 (2022; Zbl 1491.35139) Full Text: DOI arXiv
Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo Multi-parameter analysis of the obstacle scattering problem. (English) Zbl 1486.35318 Inverse Probl. 38, No. 5, Article ID 055004, 17 p. (2022). MSC: 35P25 35J05 35J25 78A45 PDFBibTeX XMLCite \textit{M. Dalla Riva} et al., Inverse Probl. 38, No. 5, Article ID 055004, 17 p. (2022; Zbl 1486.35318) Full Text: DOI arXiv
Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui Plasmon resonances of nanorods in transverse electromagnetic scattering. (English) Zbl 1495.35162 J. Differ. Equations 318, 502-536 (2022). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A45 78A46 78A40 35J05 31B10 35B40 35B44 35B05 82D80 35R30 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Differ. Equations 318, 502--536 (2022; Zbl 1495.35162) Full Text: DOI arXiv
Li, Jianliang Reverse time migration for inverse obstacle scattering with a generalized impedance boundary condition. (English) Zbl 1485.35131 Appl. Anal. 101, No. 1, 48-62 (2022). MSC: 35J05 65N21 65R32 78A46 PDFBibTeX XMLCite \textit{J. Li}, Appl. Anal. 101, No. 1, 48--62 (2022; Zbl 1485.35131) Full Text: DOI
van ’t Wout, Elwin; Haqshenas, Seyyed R.; Gélat, Pierre; Betcke, Timo; Saffari, Nader Boundary integral formulations for acoustic modelling of high-contrast media. (English) Zbl 1524.65913 Comput. Math. Appl. 105, 136-149 (2022). MSC: 65N38 35J05 78A45 76Q05 65F10 74J20 65F35 65F08 65F15 PDFBibTeX XMLCite \textit{E. van 't Wout} et al., Comput. Math. Appl. 105, 136--149 (2022; Zbl 1524.65913) Full Text: DOI arXiv
Boĭkov, Il’ya Vladimirovich; Rudnev, Vladimir Aleksandrovich; Boĭkova, Alla Il’inichna; Stepanov, Nikita Sergeevich Continuous operator method application for direct and inverse scattering problems. (English) Zbl 1524.65475 Zh. Sredn. Mat. Obshch. 23, No. 3, 247-272 (2021). MSC: 65M32 65M12 65N12 65N21 35A01 35A02 35J05 35B65 65R20 65D32 65M06 35Q60 35R09 65M70 65N35 78A45 78A46 45C05 35R20 PDFBibTeX XMLCite \textit{I. V. Boĭkov} et al., Zh. Sredn. Mat. Obshch. 23, No. 3, 247--272 (2021; Zbl 1524.65475) Full Text: DOI MNR
Gang, Bao; Lin, Yiwen Determination of random periodic structures in transverse magnetic polarization. (English) Zbl 1513.78003 Commun. Math. Res. 37, No. 3, 271-296 (2021). MSC: 78A46 65C30 65N21 78M31 62C10 60G15 35J05 35R60 PDFBibTeX XMLCite \textit{B. Gang} and \textit{Y. Lin}, Commun. Math. Res. 37, No. 3, 271--296 (2021; Zbl 1513.78003) Full Text: DOI
Il’inskiy, A. S.; Galishnikova, T. N. Diffraction of the fundamental waveguide wave on an inductive cylinder in a rectangular waveguide. (English. Russian original) Zbl 1502.78023 Comput. Math. Model. 32, No. 2, 120-128 (2021); translation from Prikl. Mat. Inf. 66, 15-24 (2021). MSC: 78A50 78A45 PDFBibTeX XMLCite \textit{A. S. Il'inskiy} and \textit{T. N. Galishnikova}, Comput. Math. Model. 32, No. 2, 120--128 (2021; Zbl 1502.78023); translation from Prikl. Mat. Inf. 66, 15--24 (2021) Full Text: DOI
Pinto, José; Aylwin, Ruben; Jerez-Hanckes, Carlos Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media. (English) Zbl 1486.65274 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2445-2472 (2021). MSC: 65N35 65N38 65N15 45M15 78A45 78A48 65R20 35J05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Pinto} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2445--2472 (2021; Zbl 1486.65274) Full Text: DOI arXiv
Gao, Yixian; Li, Peijun; Yuan, Xiaokai Electromagnetic field enhancement in a subwavelength rectangular open cavity. (English) Zbl 1480.78010 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 55, 51 p. (2021). MSC: 78A45 78A25 35C20 35B40 35J05 35A15 35C15 35Q60 PDFBibTeX XMLCite \textit{Y. Gao} et al., SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 55, 51 p. (2021; Zbl 1480.78010) Full Text: DOI arXiv
Liang, Jiuyang; Liu, Pei; Xu, Zhenli A high-accurate fast Poisson solver based on harmonic surface mapping algorithm. (English) Zbl 1528.65123 Commun. Comput. Phys. 30, No. 1, 210-226 (2021). MSC: 65N38 78M15 78M16 35J05 35J08 45B05 35Q60 PDFBibTeX XMLCite \textit{J. Liang} et al., Commun. Comput. Phys. 30, No. 1, 210--226 (2021; Zbl 1528.65123) Full Text: DOI
Deng, Youjun; Liu, Hongyu; Zheng, Guang-Hui Mathematical analysis of plasmon resonances for curved nanorods. (English. French summary) Zbl 1479.35840 J. Math. Pures Appl. (9) 153, 248-280 (2021). MSC: 35Q60 35J05 31B10 35B05 35R30 78A40 78A35 82D80 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Math. Pures Appl. (9) 153, 248--280 (2021; Zbl 1479.35840) Full Text: DOI arXiv
Li, Jianliang; Yang, Jiaqing; Zhang, Bo A linear sampling method for inverse acoustic scattering by a locally rough interface. (English) Zbl 1472.35457 Inverse Probl. Imaging 15, No. 5, 1247-1267 (2021). MSC: 35R30 35J05 35P25 35Q60 65R20 65N21 78A46 PDFBibTeX XMLCite \textit{J. Li} et al., Inverse Probl. Imaging 15, No. 5, 1247--1267 (2021; Zbl 1472.35457) Full Text: DOI arXiv
Zhang, Lei; Jia, Luming Near-field imaging for an obstacle above rough surfaces with limited aperture data. (English) Zbl 1478.78039 Inverse Probl. Imaging 15, No. 5, 975-997 (2021). MSC: 78A46 65R32 78M15 65D32 35A01 35A02 35J05 35R25 35R30 35Q60 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{L. Jia}, Inverse Probl. Imaging 15, No. 5, 975--997 (2021; Zbl 1478.78039) Full Text: DOI
Kuryliak, Dozyslav B.; Sharabura, Oleksiy M. Wave diffraction from the finite bicone. (English) Zbl 1473.78007 Z. Angew. Math. Phys. 72, No. 4, Paper No. 148, 22 p. (2021). MSC: 78A45 45E10 45F10 47A68 35J05 35B65 78M35 PDFBibTeX XMLCite \textit{D. B. Kuryliak} and \textit{O. M. Sharabura}, Z. Angew. Math. Phys. 72, No. 4, Paper No. 148, 22 p. (2021; Zbl 1473.78007) Full Text: DOI
Kress, Rainer The DB boundary condition in electromagnetic scattering revisited. (English) Zbl 1471.35097 SIAM J. Math. Anal. 53, No. 3, 3661-3680 (2021). MSC: 35J05 35P25 35R30 45A05 78A40 PDFBibTeX XMLCite \textit{R. Kress}, SIAM J. Math. Anal. 53, No. 3, 3661--3680 (2021; Zbl 1471.35097) Full Text: DOI
Laurent, Philippe; Legendre, Guillaume; Salomon, Julien On the method of reflections. (English) Zbl 1478.65140 Numer. Math. 148, No. 2, 449-493 (2021). MSC: 65N55 65N99 65F10 35J05 35J57 76D07 78A30 PDFBibTeX XMLCite \textit{P. Laurent} et al., Numer. Math. 148, No. 2, 449--493 (2021; Zbl 1478.65140) Full Text: DOI arXiv HAL
Lu, Wangtao Mathematical analysis of wave radiation by a step-like surface. (English) Zbl 1465.35129 SIAM J. Appl. Math. 81, No. 2, 666-693 (2021). MSC: 35J05 35J08 35P25 45E05 65R20 78A40 PDFBibTeX XMLCite \textit{W. Lu}, SIAM J. Appl. Math. 81, No. 2, 666--693 (2021; Zbl 1465.35129) Full Text: DOI arXiv
Zhang, Yabin; Gillman, Adrianna A fast direct solver for two dimensional quasi-periodic multilayered media scattering problems. (English) Zbl 1461.65255 BIT 61, No. 1, 141-171 (2021). MSC: 65N38 65N22 65F05 35J05 65R20 65N80 78A45 76Q05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{A. Gillman}, BIT 61, No. 1, 141--171 (2021; Zbl 1461.65255) Full Text: DOI arXiv
Cho, Min Hyung; Huang, Jingfang Adapting free-space fast multipole method for layered media Green’s function: algorithm and analysis. (English) Zbl 1466.65221 Appl. Comput. Harmon. Anal. 51, 414-436 (2021). MSC: 65N80 65D30 78M16 78A45 78A40 78A48 35J05 35Q60 PDFBibTeX XMLCite \textit{M. H. Cho} and \textit{J. Huang}, Appl. Comput. Harmon. Anal. 51, 414--436 (2021; Zbl 1466.65221) Full Text: DOI arXiv
Samokhin, A. B.; Smirnov, Yu. G. Uniqueness and existence theorems for the problems of electromagnetic-wave scattering by three-dimensional anisotropic bodies in differential and integral formulations. (English. Russian original) Zbl 1462.35379 Comput. Math. Math. Phys. 61, No. 1, 80-89 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 85-94 (2021). MSC: 35Q60 78A45 78A25 45E05 45K05 35A01 35A02 35J05 35R09 PDFBibTeX XMLCite \textit{A. B. Samokhin} and \textit{Yu. G. Smirnov}, Comput. Math. Math. Phys. 61, No. 1, 80--89 (2021; Zbl 1462.35379); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 85--94 (2021) Full Text: DOI
Zhang, Deyue; Guo, Yukun Some recent developments in the unique determinations in phaseless inverse acoustic scattering theory. (English) Zbl 1460.78014 Electron. Res. Arch. 29, No. 2, 2149-2165 (2021). MSC: 78A46 74J25 45Q05 35R30 31B20 76Q05 35J05 PDFBibTeX XMLCite \textit{D. Zhang} and \textit{Y. Guo}, Electron. Res. Arch. 29, No. 2, 2149--2165 (2021; Zbl 1460.78014) Full Text: DOI
Li, Junpu; Zhang, Lan; Qin, Qing-Hua A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering. (English) Zbl 1453.78004 Appl. Math. Lett. 112, Article ID 106746, 7 p. (2021). MSC: 78A45 78M05 65N80 65R20 35J05 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Lett. 112, Article ID 106746, 7 p. (2021; Zbl 1453.78004) Full Text: DOI
Tiwari, Awanish Kumar; Pandey, Ambuj; Paul, Jagabandhu; Anand, Akash Fast accurate approximation of convolutions with weakly singular kernel and its applications. arXiv:2107.03958 Preprint, arXiv:2107.03958 [math.NA] (2021). MSC: 65R10 65R20 44A35 35J05 78A45 31A10 BibTeX Cite \textit{A. K. Tiwari} et al., ``Fast accurate approximation of convolutions with weakly singular kernel and its applications'', Preprint, arXiv:2107.03958 [math.NA] (2021) Full Text: arXiv OA License
Li, Jianliang; Helin, Tapio; Li, Peijun Inverse random source problems for time-harmonic acoustic and elastic waves. (English) Zbl 1461.78007 Commun. Partial Differ. Equations 45, No. 10, 1335-1380 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 76Q05 74J20 74J25 60G60 35A01 35A02 35J05 35R30 65C30 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Partial Differ. Equations 45, No. 10, 1335--1380 (2020; Zbl 1461.78007) Full Text: DOI arXiv
Onofrei, Daniel; Platt, Eric; Egarguin, Neil Jerome A. Active manipulation of exterior electromagnetic fields by using surface sources. (English) Zbl 1458.35398 Q. Appl. Math. 78, No. 4, 641-670 (2020). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35Q60 45Q05 78A25 78A46 35J05 65R32 65R30 65J20 65M80 PDFBibTeX XMLCite \textit{D. Onofrei} et al., Q. Appl. Math. 78, No. 4, 641--670 (2020; Zbl 1458.35398) Full Text: DOI
Ji, Xia; Liu, Xiaodong Identification of point-like objects with multifrequency sparse data. (English) Zbl 1452.35256 SIAM J. Sci. Comput. 42, No. 4, A2325-A2343 (2020). MSC: 35R30 35J05 35P25 45Q05 78A46 74B05 PDFBibTeX XMLCite \textit{X. Ji} and \textit{X. Liu}, SIAM J. Sci. Comput. 42, No. 4, A2325--A2343 (2020; Zbl 1452.35256) Full Text: DOI arXiv
Xu, Boxi; Cheng, Jin; Leung, Shingyu; Qian, Jianliang Efficient algorithms for computing multidimensional integral fractional Laplacians via spherical means. (English) Zbl 1458.78024 SIAM J. Sci. Comput. 42, No. 5, A2910-A2942 (2020). Reviewer: David Kapanadze (Tbilisi) MSC: 78M20 78M35 78A05 78A46 65N06 65N21 65R10 35Q05 35R11 PDFBibTeX XMLCite \textit{B. Xu} et al., SIAM J. Sci. Comput. 42, No. 5, A2910--A2942 (2020; Zbl 1458.78024) Full Text: DOI
Bao, Gang; Lin, Yiwen; Xu, Xiang Inverse scattering by a random periodic structure. (English) Zbl 1452.78015 SIAM J. Numer. Anal. 58, No. 5, 2934-2952 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 65C30 65N21 35J05 62F15 PDFBibTeX XMLCite \textit{G. Bao} et al., SIAM J. Numer. Anal. 58, No. 5, 2934--2952 (2020; Zbl 1452.78015) Full Text: DOI arXiv
Il’inskii, A. S.; Galishnikova, T. N. Study of the kernels of integral equations in problems of wave diffraction in waveguides and by periodic structures. (English. Russian original) Zbl 1451.78031 Differ. Equ. 56, No. 9, 1167-1180 (2020); translation from Differ. Uravn. 56, No. 9, 1201-1213 (2020). MSC: 78A50 78A45 78A25 35Q60 35R09 45B05 45K05 35J05 65R20 65N80 35C07 PDFBibTeX XMLCite \textit{A. S. Il'inskii} and \textit{T. N. Galishnikova}, Differ. Equ. 56, No. 9, 1167--1180 (2020; Zbl 1451.78031); translation from Differ. Uravn. 56, No. 9, 1201--1213 (2020) Full Text: DOI
Eremin, Yu. A. Integral representations of fields in three-dimensional problems of diffraction by penetrable bodies. (English. Russian original) Zbl 1448.78031 Differ. Equ. 56, No. 9, 1148-1152 (2020); translation from Differ. Uravn. 56, No. 9, 1182-1186 (2020). MSC: 78A45 76Q05 35J05 45B05 PDFBibTeX XMLCite \textit{Yu. A. Eremin}, Differ. Equ. 56, No. 9, 1148--1152 (2020; Zbl 1448.78031); translation from Differ. Uravn. 56, No. 9, 1182--1186 (2020) Full Text: DOI
Ahn, Chi Young; Chae, Seongje; Park, Won-Kwang Fast identification of short, sound-soft open arcs by the orthogonality sampling method in the limited-aperture inverse scattering problem. (English) Zbl 1448.78033 Appl. Math. Lett. 109, Article ID 106556, 7 p. (2020). MSC: 78A46 35J05 65N21 45B05 65R20 60H40 62D05 PDFBibTeX XMLCite \textit{C. Y. Ahn} et al., Appl. Math. Lett. 109, Article ID 106556, 7 p. (2020; Zbl 1448.78033) Full Text: DOI
Spiridonov, Alexander O.; Oktyabrskaya, Alina; Karchevskii, Evgenii M.; Nosich, Alexander I. Mathematical and numerical analysis of the generalized complex-frequency eigenvalue problem for two-dimensional optical microcavities. (English) Zbl 1452.65318 SIAM J. Appl. Math. 80, No. 4, 1977-1998 (2020). MSC: 65N25 65N35 65N38 65N80 78A60 35J05 PDFBibTeX XMLCite \textit{A. O. Spiridonov} et al., SIAM J. Appl. Math. 80, No. 4, 1977--1998 (2020; Zbl 1452.65318) Full Text: DOI
Fang, Xiaoping; Deng, Youjun; Tsui, Wing-Yan; Zhang, Zaiyun On simultaneous recovery of sources/obstacles and surrounding mediums by boundary measurements. (English) Zbl 1453.35162 Electron. Res. Arch. 28, No. 3, 1239-1255 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 35J05 31B10 35R30 78A40 78A46 86A22 35B40 35A02 PDFBibTeX XMLCite \textit{X. Fang} et al., Electron. Res. Arch. 28, No. 3, 1239--1255 (2020; Zbl 1453.35162) Full Text: DOI
Baden-Riess, Thomas Existence, uniqueness and explicit bounds for acoustic scattering by an infinite Lipschitz boundary with an impedance condition. (English) Zbl 1447.78007 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 785-810 (2020). MSC: 78A45 74J20 35J05 35J20 45B05 35A01 35A02 PDFBibTeX XMLCite \textit{T. Baden-Riess}, Ann. Acad. Sci. Fenn., Math. 45, No. 2, 785--810 (2020; Zbl 1447.78007) Full Text: DOI
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. (English) Zbl 1437.65219 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 775-810 (2020). MSC: 65N55 65N12 78A45 35J05 31A10 35P15 PDFBibTeX XMLCite \textit{F. Collino} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 3, 775--810 (2020; Zbl 1437.65219) Full Text: DOI
Chandler-Wilde, S. N.; Spence, E. A.; Gibbs, A.; Smyshlyaev, V. P. High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis. (English) Zbl 1431.35020 SIAM J. Math. Anal. 52, No. 1, 845-893 (2020). MSC: 35J05 35J25 35P25 65N30 65N38 78A45 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., SIAM J. Math. Anal. 52, No. 1, 845--893 (2020; Zbl 1431.35020) Full Text: DOI arXiv
Scapin, Andrea Electrocommunication for weakly electric fish. (English) Zbl 1431.35248 Inverse Probl. Imaging 14, No. 1, 97-115 (2020). MSC: 35R30 35J05 31B10 35C20 78A30 PDFBibTeX XMLCite \textit{A. Scapin}, Inverse Probl. Imaging 14, No. 1, 97--115 (2020; Zbl 1431.35248) Full Text: DOI arXiv
Ghosh Roy, D. N. Mathematics of wavefields. (English) Zbl 1428.35555 Dutta, Hemen (ed.) et al., Applied mathematical analysis: theory, methods, and applications. Cham: Springer. Stud. Syst. Decis. Control 177, 187-231 (2020). MSC: 35Q60 78A45 35J05 76Q05 42A38 35J08 26B20 78A25 PDFBibTeX XMLCite \textit{D. N. Ghosh Roy}, Stud. Syst. Decis. Control 177, 187--231 (2020; Zbl 1428.35555) Full Text: DOI
Dong, Heping; Lai, Jun; Li, Peijun Inverse obstacle scattering for elastic waves with phased or phaseless far-field data. (English) Zbl 1524.78044 SIAM J. Imaging Sci. 12, No. 2, 809-838 (2019). MSC: 78A46 65N21 78M15 65N38 35J05 65R20 74J20 PDFBibTeX XMLCite \textit{H. Dong} et al., SIAM J. Imaging Sci. 12, No. 2, 809--838 (2019; Zbl 1524.78044) Full Text: DOI arXiv
Lin, Junshan; Zhang, Hai An integral equation method for numerical computation of scattering resonances in a narrow metallic slit. (English) Zbl 1451.78021 J. Comput. Phys. 385, 75-105 (2019). MSC: 78A45 65N80 65R20 35J05 65N12 PDFBibTeX XMLCite \textit{J. Lin} and \textit{H. Zhang}, J. Comput. Phys. 385, 75--105 (2019; Zbl 1451.78021) Full Text: DOI
Dushkin, V. D.; Zhuchenko, S.; Kostenko, O. V. Discrete mathematical model of the scattering process of \(E\)-polarized wave on a periodic impedance grating. (English) Zbl 1463.78002 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 90, 4-25 (2019). MSC: 78A45 35J05 45B05 45E05 PDFBibTeX XMLCite \textit{V. D. Dushkin} et al., Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 90, 4--25 (2019; Zbl 1463.78002) Full Text: DOI
Kress, Rainer Some old and some new results in inverse obstacle scattering. (English) Zbl 1455.35197 Langer, Ulrich (ed.) et al., Maxwell’s equations. Analysis and numerics. Contributions from the workshop on analysis and numerics of acoustic and electromagnetic problems, RICAM, Linz, Austria, October 17–22, 2016. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 24, 259-283 (2019). MSC: 35Q35 35P25 35P30 35R30 45A05 76Q05 78A46 35Q60 35R25 35J05 PDFBibTeX XMLCite \textit{R. Kress}, Radon Ser. Comput. Appl. Math. 24, 259--283 (2019; Zbl 1455.35197) Full Text: DOI
Il’inskii, A. S.; Galishnikova, T. N. The method of integral equations in problems of wave diffraction in waveguides. (English) Zbl 1433.78031 Lobachevskii J. Math. 40, No. 10, 1660-1672 (2019). MSC: 78M22 78A50 78A45 65R10 35J05 45B05 65N80 PDFBibTeX XMLCite \textit{A. S. Il'inskii} and \textit{T. N. Galishnikova}, Lobachevskii J. Math. 40, No. 10, 1660--1672 (2019; Zbl 1433.78031) Full Text: DOI
Evstigneev, R. O.; Medvedik, M. Yu. Reconstruction of inhomogeneities in a hemisphere from the field measurements. (English) Zbl 1429.78004 Lobachevskii J. Math. 40, No. 10, 1653-1659 (2019). MSC: 78A46 35J05 35R30 45B05 65N08 PDFBibTeX XMLCite \textit{R. O. Evstigneev} and \textit{M. Yu. Medvedik}, Lobachevskii J. Math. 40, No. 10, 1653--1659 (2019; Zbl 1429.78004) Full Text: DOI
Lin, Junshan; Zhang, Hai Mathematical analysis of surface plasmon resonance by a nano-gap in the plasmonic metal. (English) Zbl 1434.35208 SIAM J. Math. Anal. 51, No. 6, 4448-4489 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q60 78A45 35J05 35B34 35C20 PDFBibTeX XMLCite \textit{J. Lin} and \textit{H. Zhang}, SIAM J. Math. Anal. 51, No. 6, 4448--4489 (2019; Zbl 1434.35208) Full Text: DOI
He, Dongdong; Pan, Kejia; Yue, Xiaoqiang A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system. (English) Zbl 1427.65165 J. Sci. Comput. 81, No. 1, 436-458 (2019). MSC: 65M06 65R20 65M12 35L65 78A57 35Q60 82D37 35Q82 PDFBibTeX XMLCite \textit{D. He} et al., J. Sci. Comput. 81, No. 1, 436--458 (2019; Zbl 1427.65165) Full Text: DOI
Lee, Ju-Hyun; Jeong, Nayoung; Kang, Sungkwon Approximated separation formula for the Helmholtz equation. (English) Zbl 1428.65104 Honam Math. J. 41, No. 2, 403-420 (2019). MSC: 65N40 78A45 35J05 45G05 33C10 PDFBibTeX XMLCite \textit{J.-H. Lee} et al., Honam Math. J. 41, No. 2, 403--420 (2019; Zbl 1428.65104) Full Text: DOI
Colton, David; Kress, Rainer Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. (English) Zbl 1425.35001 Applied Mathematical Sciences 93. Cham: Springer (ISBN 978-3-030-30350-1/hbk; 978-3-030-30351-8/ebook). xvii, 518 p. (2019). MSC: 35-02 35P25 35J05 35R30 45A05 65M30 78A45 PDFBibTeX XMLCite \textit{D. Colton} and \textit{R. Kress}, Inverse acoustic and electromagnetic scattering theory. 4th expanded edition. Cham: Springer (2019; Zbl 1425.35001) Full Text: DOI
Kuryliak, Dozyslav Diffraction by semi-infinite cone formed with electric and magnetic surfaces: analytical regularization and Wiener-Hopf techniques. (English) Zbl 1426.78017 J. Eng. Math. 115, 43-65 (2019). MSC: 78A45 35B65 35J05 65R10 78M25 PDFBibTeX XMLCite \textit{D. Kuryliak}, J. Eng. Math. 115, 43--65 (2019; Zbl 1426.78017) Full Text: DOI
Li, Jingzhi; Liu, Hongyu; Ma, Shiqi Determining a random Schrödinger equation with unknown source and potential. (English) Zbl 1419.35185 SIAM J. Math. Anal. 51, No. 4, 3465-3491 (2019). MSC: 35Q60 35J05 31B10 35R30 78A40 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Math. Anal. 51, No. 4, 3465--3491 (2019; Zbl 1419.35185) Full Text: DOI arXiv
Poljak, Dragan; Cvetković, Mario; Cavka, Damir; Peratta, Andres; Peratta, Cristina; Dodig, Hrvoje; Hirata, Akimasa Boundary integral methods in bioelectromagnetics and biomedical applications of electromagnetic fields. (English) Zbl 1418.78009 Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXXI. Selected papers based on the presentations at the 41st international conference (BEM/MRM), New Forest, UK, September 11–13, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 122, 85-94 (2019). MSC: 78M15 92-08 65N38 65N08 65N30 78A30 78M05 78M10 35Q60 35R11 45M05 92C55 35J05 78A45 PDFBibTeX XMLCite \textit{D. Poljak} et al., WIT Trans. Eng. Sci. 122, 85--94 (2019; Zbl 1418.78009) Full Text: Link
Smirnov, Yu. G.; Tsupak, A. A. On the uniqueness of a solution to an inverse problem of scattering by an inhomogeneous solid with a piecewise Hölder refractive index in a special function class. (English. Russian original) Zbl 1420.35473 Dokl. Math. 99, No. 2, 201-203 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 5, 545-547 (2019). Reviewer: Tommi Brander (Trondheim) MSC: 35R30 78A46 35C15 35Q60 35J05 PDFBibTeX XMLCite \textit{Yu. G. Smirnov} and \textit{A. A. Tsupak}, Dokl. Math. 99, No. 2, 201--203 (2019; Zbl 1420.35473); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 485, No. 5, 545--547 (2019) Full Text: DOI
Deng, Youjun; Liu, Hongyu; Liu, Xiaodong Recovery of an embedded obstacle and the surrounding medium for Maxwell’s system. (English) Zbl 1416.35253 J. Differ. Equations 267, No. 4, 2192-2209 (2019). MSC: 35Q60 35J05 31B10 35R30 78A40 78A46 PDFBibTeX XMLCite \textit{Y. Deng} et al., J. Differ. Equations 267, No. 4, 2192--2209 (2019; Zbl 1416.35253) Full Text: DOI arXiv
Kress, R. Nonlocal impedance conditions in direct and inverse obstacle scattering. (English) Zbl 1407.65270 Inverse Probl. 35, No. 2, Article ID 024002, 22 p. (2019). MSC: 65N21 35J05 78A46 78A45 35R30 45Q05 65R20 65R32 35P25 PDFBibTeX XMLCite \textit{R. Kress}, Inverse Probl. 35, No. 2, Article ID 024002, 22 p. (2019; Zbl 1407.65270) Full Text: DOI
Daniele, V. G.; Lombardi, Guido; Zich, R. S. The scattering of electromagnetic waves by two opposite staggered perfectly electrically conducting half-planes. (English) Zbl 1469.78005 Wave Motion 83, 241-263 (2018). MSC: 78A45 35J05 35P25 PDFBibTeX XMLCite \textit{V. G. Daniele} et al., Wave Motion 83, 241--263 (2018; Zbl 1469.78005) Full Text: DOI
Hegge, Torstein Storflor; Nesse, Torstein; Maradudin, Alexei A.; Simonsen, Ingve The scattering of a scalar beam from isotropic and anisotropic two-dimensional randomly rough Dirichlet or Neumann surfaces: the full angular intensity distributions. (English) Zbl 1524.35423 Wave Motion 82, 30-50 (2018). MSC: 35P25 35J05 45Exx 65R20 78A45 PDFBibTeX XMLCite \textit{T. S. Hegge} et al., Wave Motion 82, 30--50 (2018; Zbl 1524.35423) Full Text: DOI arXiv
Kinsler, Paul; McCall, Martin W. Generalized transformation design: metrics, speeds, and diffusion. (English) Zbl 1524.35035 Wave Motion 77, 91-106 (2018). MSC: 35A22 35J05 35L10 76Q05 78A35 PDFBibTeX XMLCite \textit{P. Kinsler} and \textit{M. W. McCall}, Wave Motion 77, 91--106 (2018; Zbl 1524.35035) Full Text: DOI arXiv
Cai, Wei; Retz, Caylah Accurate and efficient calculation of singular electrostatic potentials in charge-dielectric sphere systems. (English) Zbl 1416.78030 Pure Appl. Math. Q. 14, No. 1, 87-129 (2018). MSC: 78M15 65R20 PDFBibTeX XMLCite \textit{W. Cai} and \textit{C. Retz}, Pure Appl. Math. Q. 14, No. 1, 87--129 (2018; Zbl 1416.78030) Full Text: DOI
Helsing, Johan; Karlsson, Anders On a Helmholtz transmission problem in planar domains with corners. (English) Zbl 1415.78006 J. Comput. Phys. 371, 315-332 (2018). MSC: 78A45 65R20 35J05 78M15 PDFBibTeX XMLCite \textit{J. Helsing} and \textit{A. Karlsson}, J. Comput. Phys. 371, 315--332 (2018; Zbl 1415.78006) Full Text: DOI arXiv
Blossey, R.; Maggs, A. C. A fluctuation-corrected functional of convex Poisson-Boltzmann theory. (English) Zbl 1426.82004 J. Phys. A, Math. Theor. 51, No. 38, Article ID 385001, 10 p. (2018). MSC: 82B20 78A30 78A57 74F25 92C40 81S40 35Q20 35Q60 44A15 35Q53 65D30 65T50 PDFBibTeX XMLCite \textit{R. Blossey} and \textit{A. C. Maggs}, J. Phys. A, Math. Theor. 51, No. 38, Article ID 385001, 10 p. (2018; Zbl 1426.82004) Full Text: DOI HAL
Kress, Rainer Integral equation methods in inverse obstacle scattering with a generalized impedance boundary condition. (English) Zbl 1407.65271 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 721-740 (2018). MSC: 65N21 45Q05 35J05 35R09 78A45 35R30 78A46 76Q05 35S15 35J25 65N80 PDFBibTeX XMLCite \textit{R. Kress}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 721--740 (2018; Zbl 1407.65271) Full Text: DOI
Il’inskii, A. S.; Galishnikova, T. N. Method of integral equations for the three-dimensional problem of wave reflection from an irregular surface. (English. Russian original) Zbl 1406.78026 Differ. Equ. 54, No. 9, 1191-1201 (2018); translation from Differ. Uravn. 54, No. 9, 1218-1227 (2018). MSC: 78M34 78A45 35J05 45B05 45E99 65R20 78M25 PDFBibTeX XMLCite \textit{A. S. Il'inskii} and \textit{T. N. Galishnikova}, Differ. Equ. 54, No. 9, 1191--1201 (2018; Zbl 1406.78026); translation from Differ. Uravn. 54, No. 9, 1218--1227 (2018) Full Text: DOI
Medvedik, M. Yu.; Smirnov, Yu. G.; Tsupak, A. A. Two-step method for solving inverse problem of diffraction by an inhomogenous body. (English) Zbl 1402.78013 Beilina, L. (ed.) et al., Nonlinear and inverse problems in electromagnetics, PIERS 2017, St. Petersburg, Russia, May 22–25, 2017. Cham: Springer (ISBN 978-3-319-94059-5/hbk; 978-3-319-94060-1/ebook). Springer Proceedings in Mathematics & Statistics 243, 83-92 (2018). MSC: 78A46 78A45 45B05 45Q05 35J05 78M25 65R20 PDFBibTeX XMLCite \textit{M. Yu. Medvedik} et al., Springer Proc. Math. Stat. 243, 83--92 (2018; Zbl 1402.78013) Full Text: DOI
Ciotti, Benjamin; Li, Bo Legendre transforms of electrostatic free-energy functionals. (English) Zbl 1402.49042 SIAM J. Appl. Math. 78, No. 6, 2973-2995 (2018). MSC: 49S05 78A30 44A15 49J40 PDFBibTeX XMLCite \textit{B. Ciotti} and \textit{B. Li}, SIAM J. Appl. Math. 78, No. 6, 2973--2995 (2018; Zbl 1402.49042) Full Text: DOI
Zhang, Ruming; Zhang, Bo A new integral equation formulation for scattering by penetrable diffraction gratings. (English) Zbl 1438.78008 J. Comput. Math. 36, No. 1, 110-127 (2018). MSC: 78M15 78A45 35J05 35A01 65R20 PDFBibTeX XMLCite \textit{R. Zhang} and \textit{B. Zhang}, J. Comput. Math. 36, No. 1, 110--127 (2018; Zbl 1438.78008) Full Text: DOI
Askham, T. A stabilized separation of variables method for the modified biharmonic equation. (English) Zbl 1422.65444 J. Sci. Comput. 76, No. 3, 1674-1697 (2018). MSC: 65N99 65N80 76D05 31A30 35J05 78M16 PDFBibTeX XMLCite \textit{T. Askham}, J. Sci. Comput. 76, No. 3, 1674--1697 (2018; Zbl 1422.65444) Full Text: DOI arXiv
Bonnet, Marc Inverse acoustic scattering using high-order small-inclusion expansion of misfit function. (English) Zbl 1395.35208 Inverse Probl. Imaging 12, No. 4, 921-953 (2018). MSC: 35R30 78A46 35J05 31A10 31A25 PDFBibTeX XMLCite \textit{M. Bonnet}, Inverse Probl. Imaging 12, No. 4, 921--953 (2018; Zbl 1395.35208) Full Text: DOI
Lai, Jun; Li, Ming; Li, Peijun; Li, Wei A fast direct imaging method for the inverse obstacle scattering problem with nonlinear point scatterers. (English) Zbl 1397.78035 Inverse Probl. Imaging 12, No. 3, 635-665 (2018). MSC: 78A46 78M15 65N21 35J05 65T50 35Q60 78A05 PDFBibTeX XMLCite \textit{J. Lai} et al., Inverse Probl. Imaging 12, No. 3, 635--665 (2018; Zbl 1397.78035) Full Text: DOI arXiv
Lai, Jun; Greengard, Leslie; O’Neil, Michael A new hybrid integral representation for frequency domain scattering in layered media. (English) Zbl 1395.78038 Appl. Comput. Harmon. Anal. 45, No. 2, 359-378 (2018). MSC: 78A45 78A48 78M25 35J05 65N80 PDFBibTeX XMLCite \textit{J. Lai} et al., Appl. Comput. Harmon. Anal. 45, No. 2, 359--378 (2018; Zbl 1395.78038) Full Text: DOI arXiv
Gao, Peng; Dong, Heping; Ma, Fuming Inverse scattering via nonlinear integral equations method for a sound-soft crack with phaseless data. (English) Zbl 1488.35621 Appl. Math., Praha 63, No. 2, 149-165 (2018). MSC: 35R30 78A46 65R32 35J05 PDFBibTeX XMLCite \textit{P. Gao} et al., Appl. Math., Praha 63, No. 2, 149--165 (2018; Zbl 1488.35621) Full Text: DOI
Vico, Felipe; Greengard, Leslie; Ferrando, Miguel Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles. (English) Zbl 1388.31010 Commun. Partial Differ. Equations 43, No. 2, 159-184 (2018). MSC: 31B15 35Q61 35J05 78A25 PDFBibTeX XMLCite \textit{F. Vico} et al., Commun. Partial Differ. Equations 43, No. 2, 159--184 (2018; Zbl 1388.31010) Full Text: DOI arXiv Link
Wang, Guan; Ma, Fuming; Guo, Yukun; Li, Jingzhi Solving the multi-frequency electromagnetic inverse source problem by the Fourier method. (English) Zbl 1388.78005 J. Differ. Equations 265, No. 1, 417-443 (2018). MSC: 78A25 78M22 65N21 35Q61 65R32 35J05 42A16 93C30 65D30 65T50 PDFBibTeX XMLCite \textit{G. Wang} et al., J. Differ. Equations 265, No. 1, 417--443 (2018; Zbl 1388.78005) Full Text: DOI arXiv
Zhong, Yimin; Ren, Kui; Tsai, Richard An implicit boundary integral method for computing electric potential of macromolecules in solvent. (English) Zbl 1383.78014 J. Comput. Phys. 359, 199-215 (2018). MSC: 78A30 78M15 78M16 35J05 92C40 PDFBibTeX XMLCite \textit{Y. Zhong} et al., J. Comput. Phys. 359, 199--215 (2018; Zbl 1383.78014) Full Text: DOI arXiv
Lu, Wangtao; Lu, Ya Yan; Qian, Jianliang Perfectly matched layer boundary integral equation method for wave scattering in a layered medium. (English) Zbl 1381.65096 SIAM J. Appl. Math. 78, No. 1, 246-265 (2018). MSC: 65N38 78A45 78A40 78M15 35J05 PDFBibTeX XMLCite \textit{W. Lu} et al., SIAM J. Appl. Math. 78, No. 1, 246--265 (2018; Zbl 1381.65096) Full Text: DOI arXiv
Gabibova, N. A.; Èĭvazov, È. Kh. Rellich-Povzner radiation conditions for the Helmholtz equation. (Russian) Zbl 1463.35199 J. Contemp. Appl. Math. 7, No. 2, 40-46 (2017). MSC: 35J05 35E05 35C15 78A40 PDFBibTeX XMLCite \textit{N. A. Gabibova} and \textit{È. Kh. Èĭvazov}, J. Contemp. Appl. Math. 7, No. 2, 40--46 (2017; Zbl 1463.35199) Full Text: Link