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A VSIE based time domain discontinuous Galerkin method for composite conducting dispersive dielectric objects. (English) Zbl 1521.74276

MSC:

74S05 Finite element methods applied to problems in solid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
78A45 Diffraction, scattering
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[1] Kuo, CM; Kuo, CW, A novel FDTD time-stepping scheme to calculate RCS of curved conducting objects using adaptively adjusted time steps, IEEE Trans Antennas Propag, 61, 5127-5134 (2013)
[2] Çakir, G.; Çakir, M.; Sevgi, L., An FDTD-based parallel virtual tool for RCS calculations of complex targets, IEEE Antennas Propag Mag, 56, 74-90 (2014)
[3] Akbarzadeh-Sharbaf, A.; Giannacopoulos, DD, A Stable and efficient direct time integration of the vector wave equation in the finite-element time-domain method for dispersive media, IEEE Trans Antennas Propag, 63, 314-321 (2014) · Zbl 1371.78311
[4] Kobidze, G.; Gao, J.; Shanker, B.; Michielssen, E., A fast time domain integral equation based scheme for analyzing scattering from dispersive objects, IEEE Trans Antennas Propag, 53, 1215-1226 (2005) · Zbl 1369.78233
[5] Shi, Y.; Jin, JM, A time-domain volume integral equation and its marching-on-in-degree solution for analysis of dispersive dielectric objects, IEEE Trans Antennas Propag, 59, 969-978 (2011) · Zbl 1369.78301
[6] Hu, YL; Chen, RS, Analysis of scattering from composite conducting dispersive dielectric objects by time domain volume surface integral equation, IEEE Trans Antennas Propag, 64, 1984-1989 (2016)
[7] Cockburn, B.; Karniadakis, GE; Shu, CW, Discontinuous Galerkin Methods: Theory, Computation and Applications, 1119-1148 (2000), Springer
[8] Buffa, A.; Houston, P.; Perugia, I., Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes, J Comput Appl Math, 204, 317-333 (2005) · Zbl 1131.78007
[9] Houston, P.; Perugia, I.; Schötzau, D., An a posteriori error indicator for discontinuous Galerkin discretizations of H(curl)-elliptic partial differential equations, IMA J Numer Anal, 27, 122-150 (2007) · Zbl 1148.65088
[10] Dosopoulos, S.; Lee, J., Interior penalty discontinuous Galerkin method for the time-domain Maxwell’s equations, IEEE Trans Magn, 46, 3512-3515 (2010)
[11] Peng, Z.; Lim, KH; Lee, JF, A discontinuous galerkin surface integral equation method for electromagnetic wave scattering from nonpenetrable targets, IEEE Trans Antennas Propag, 61, 3617-3628 (2013) · Zbl 1370.78364
[12] Peng, Z.; Hiptmair, R.; Shao, Y.; Mackie-Mason, B., Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems, IEEE Trans Antennas Propag, 64, 210-223 (2016) · Zbl 1374.78043
[13] Han, K.; Nie, Z.; Jiang, M.; Chen, Y.; Hu, J., A novel implementation of IEDG-based DDM for solving electromagnetic scattering from large and complex PEC objects, Electromagnetics, 38, 1-19 (2017)
[14] Huang, L.; Zhang, HX; Liao, Y.; Zhou, L.; Yin, WY, Discontinuous Galerkin method using laguerre polynomials for solving time domain electric field integral equation, IEEE Antennas Wirel Propag Lett, 17, 865-868 (2018)
[15] Huang, L.; Zhang, H.; Zhou, L.; Yin, W., An improved MOD discontinuous Galerkin method for solving time-domain electric field integral equation, IEEE Antennas Wirel Propag Lett, 18, 5, 851-855 (2019), May
[16] Zhang, L.; Sheng, X., A discontinuous Galerkin volume integral equation method for scattering from inhomogeneous objects, IEEE Trans Antennas Propag, 63, 12, 5661-5667 (2015), Dec. · Zbl 1391.78029
[17] Zhang, L.; Sheng, X., Discontinuous Galerkin volume integral equation solution of scattering from inhomogeneous dielectric objects by using the SWG basis function, IEEE Trans Antennas Propag, 65, 3, 1500-1504 (2017), March · Zbl 1395.78278
[18] Huang, X.; Sheng, X., A discontinuous Galerkin Self-dual integral equation method for scattering from IBC objects, IEEE Trans Antennas Propag, 67, 7, 4708-4717 (2019), July
[19] Xu, K.; Song, W.; Pan, X.; Sheng, X., Accurate and efficient singularity treatment in integral equation discontinuous Galerkin method, IEEE Trans Antennas Propag, 66, 6, 2957-2966 (2018), June
[20] Hou, Y.; Xiao, G.; Tian, X., A discontinuous galerkin augmented electric field integral equation for multiscale electromagnetic scattering problems, IEEE Trans Antennas Propag, 65, 7, 3615-3622 (2017), July · Zbl 1391.78320
[21] Xiao, G.; Hou, Y., Intuitive formulation of discontinuous Galerkin surface integral equations for electromagnetic scattering problems, IEEE Trans Antennas Propag, 65, 1, 287-294 (2017), Jan.
[22] Zhao, Y.; Ding, D.; Chen, R., A discontinuous Galerkin time-domain integral equation method for electromagnetic scattering from PEC objects, IEEE Trans Antennas Propag, 64, 6, 2410-2417 (2016), June · Zbl 1395.78279
[23] Cheng, GS; Ding, DZ; Chen, RS, An efficient fast algorithm for accelerating the time domain integral equation discontinuous Galerkin method, IEEE Trans Antennas Propag, 65, 4919-4924 (2017)
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