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Non-conformal field-only boundary integral method for modeling EM scattering problems. (English) Zbl 1521.74302

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
78A45 Diffraction, scattering
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[1] Chew, W. C.; Jin, J. M.; Michielssen, E.; Song, J., Fast and efficient algorithms in computational electromagnetics (2000), Artech House Publishers
[2] Jin, J. M., The finite element method in electromagnetics (2002), Wiley: Wiley New York · Zbl 1001.78001
[3] Chew, W. C.; Tong, M. S.; Hu, B., Integral equations methods for electromagnetic and elastic waves (2008), Morgan & Claypool
[4] Mittra, R., Computational electromagnetics: recent advances and engineering applications (2014), Springer Science+Business Media: Springer Science+Business Media New York · Zbl 1342.78002
[5] Ahmed, I.; Chen, Z. D., Computational electromagnetics-retrospective and outlook (2015), Springer: Springer Singapore
[6] Harrington, R. F., Field computation by moment methods (1968), Macmillan Company: Macmillan Company New York
[7] Gibson, W. C., The method of moments in electromagnetics (2007), Chapman and Hall/CRC
[8] Miller, E. K.; Medgyesi-Mitschang, L.; Newman, E. H., Computational electromagnetic: frequency-domain method of moments (1992), IEEE Press: IEEE Press New York
[9] Graglia, R. D., On the numerical integration of the linear shape functions times the 3-D Green’s functions or its gradient on a plane triangle, IEEE Trans Antennas Propag, 41, 10, 1448-1455 (1993), Oct.
[10] Yla-Oijala, P.; Taskinen, M., Calculation of CFIE impedance matrix elements with RWG and nRWG functions, IEEE Trans Antennas Propag, 51, 8, 1837-1846 (2003), Aug. · Zbl 1368.78124
[11] Duffy, M. G., Quadrature over a pyramid or cube of integrands with a singularity at a vertex, SIAM J Sci Numer Anal, 19, 6, 1260-1262 (1982) · Zbl 0493.65011
[12] Taylor, D. J., Accurate and efficient numerical integration of weakly singular integrals in Galerkin EFIE solutions, IEEE Trans Antennas Propag, 51, 7, 1630-1637 (Jul. 2003) · Zbl 1368.78148
[13] Khayat, M. A.; Wilton, D. R., Numerical evaluation of singular and near-singular potential integrals, IEEE Trans Antennas Propag, 53, 10, 3180-3190 (Oct. 2005)
[14] Vipiana, F.; Wilton, D. R., Numerical evaluation via singularity cancellation schemes of near-singular integrals involving the gradient of helmholtz-type potentials, IEEE Trans Antennas Propag, 61, 3, 1255-1265 (Mar. 2013) · Zbl 1372.65075
[15] Polimeridis, A. G.; Vipiana, F.; Mosig, J. R.; Wilton, D. R., DIRECTFN: Fully numerical algorithms for high precision computation of singular integrals in Galerkin SIE methods, IEEE Trans Antennas Propag, 61, 6, 3112-3122 (Jun. 2013) · Zbl 1370.78374
[16] Rao, S. M.; Wilton, D. R.; Glisson, A. W., Electromagnetic scattering by surfaces of arbitrary shape, IEEE Trans Antennas Propag, 30, 5, 409-418 (May 1982)
[17] Tong, M. S.; Chew, W. C., A novel mesh less scheme for solving surface integral equations with flat integral domain, IEEE Trans Antennas Propag, 60, 3285-3293 (Jul. 2012) · Zbl 1369.78916
[18] Nair, N.; Shanker, B., Generalized method of moments: a novel discretization technique for integral equation, IEEE Trans Antennas Propag, 59, 2280-2293 (Jun. 2011) · Zbl 1369.78618
[19] Zhen, P.; Lim, K. H.; Lee, J. F., A discontinuous Galerkin surface integral equation method for electromagnetic wave scattering from nonpenetrable targets, IEEE Trans Antennas Propag, 61, 7, 3617-3628 (2013) · Zbl 1370.78364
[20] Cheng, G. S.; Ding, D. Z.; Chen, R. S., An efficient fast algorithm for accelerating the time domain integral equation discontinuous Galerkin method, IEEE Trans Antennas Propag, 65, 9, 4919-4924 (Sep. 2017)
[21] Cheng, G. S.; Hu, Y. L.; Ding, D. Z.; Chen, R. S., Analysis of EM scattering from composite conducting-dielectric objects by time domain non-conformal VSIE, Eng Anal Bound Elem, 79, 75-80 (2017) · Zbl 1403.78006
[22] Klaseboer, E.; Rosales-Fernandez, C.; Khoo, B. C., A note on true desingularization of boundary element methods for three-dimensional potential problems, Eng Anal Bound Elem, 33, 796-801 (2009) · Zbl 1244.76049
[23] Klaseboer, E.; Sun, Q.; Chan, D. Y.C., Non-singular boundary integral methods for fluid mechanics applications, J Fluid Mech, 696, 468-478 (2012) · Zbl 1250.76136
[24] Sun, Q.; Klaseboer, E.; Khoo, B. C.; Chan, D. Y.C., A robust and non-singular formulation of the boundary integral method for the potential problem, Eng Anal Bound Elem, 43, 117-123 (2014) · Zbl 1297.65184
[25] Sun, Q.; Klaseboer, E.; Khoo, B. C.; Chan, D. Y.C., Boundary regularised integral equation formulation of the Helmholtz equation in acoustics, R Soc Open Sci, 2, 140520-140529 (2015)
[26] Klaseboer, E.; Sun, Q.; Chan, D. Y.C., Non-singular field-only surface integral equations for electromagnetic scattering, IEEE Trans Antennas Propag, 65, 2, 972-977 (Feb. 2017)
[27] Sun, Q.; Klaseboer, E.; Chan, D. Y.C., A robust multi-scale field-only formulation of electromagnetic scattering, Phys Rev B, 95, Article 045137 pp. (2017)
[28] Klaseboer, E.; Sepehrirahnama, S.; Chan, D. Y.C., Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform, J Acoust Soc Am, 142, 697-707 (2017)
[29] Klaseboer, E.; Sun, Q.; Chan, D. Y.C., Field-only integral equation method for time domain scattering of electromagnetic pulses, Appl Opt, 56, 34, 9377-9383 (Dec. 2017)
[30] Cao, J.; Ding, D. Z.; Cheng, G. S.; Chen, R. S., A higher order nyström TD-VIE method for scattering from magnetized plasma objects, IEEE Antennas Wirel Propag Lett, 16, 408-411 (2017)
[31] Song, J.; Chew, W. C., Broadband time-domain calculations using FISC, (Proceedings of the IEEE AP-S international symposium, 3 (2002), San Antonio, TX), 552-555, Jun.
[32] Yee, K. S., Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media, IEEE Trans Antennas Propag, 14, 3, 302-307 (May 1966) · Zbl 1155.78304
[33] Lee, J. F.; Lee, R.; Cangellaris, A., Time-domain finite-element methods, IEEE Trans Antennas Propag, 45, 3, 430-442 (Mar. 1997) · Zbl 0945.78009
[34] Cheng, G. S.; Chen, R. S., Fast analysis of transient electromagnetic scattering using the Taylor series expansion-enhanced time-domain integral equation solver, IEEE Trans Antennas Propag, 64, 9, 3943-3952 (Sep. 2016) · Zbl 1391.78016
[35] Cheng, G. S.; Fan, Z. H.; Ding, D. Z.; Chen, R. S., An efficient high order plane wave time domain algorithm for transient electromagnetic scattering analysis, Eng Anal Bound Elem, 85, 13-19 (2017) · Zbl 1403.78015
[36] http://www.netlib.org/fftpack/.
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