A new hybrid DGTD/FDTD method in 2-D

IEEE Microwave and Wireless Components Letters

Volumn 18, Issue 12, 2008, Pages 764-766

  Garcia, Salvador G ^a   Pantoja, M Fernández ^a   De Jong Van Coevorden, C M ^a   Bretones, A Rubio ^a   Martín, R Gómez ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Discontinuous galerkin; Finite difference time domain (FDTD); Finite elements; Hybrid methods

Indexed keywords

FINITE DIFFERENCE TIME DOMAIN METHOD; GALERKIN METHODS; HYBRID SENSORS; SURFACE ANALYSIS;

DISCONTINUOUS GALERKIN; FINITE DIFFERENCE TIME DOMAIN (FDTD); FINITE DIFFERENCE TIME DOMAINS; FINITE ELEMENTS; HYBRID METHODS; INHOMOGENEOUS PROBLEMS; TIME DOMAIN METHODS;

TIME DOMAIN ANALYSIS;

EID: 57349166492     PISSN: 15311309     EISSN: None     Source Type: Journal    
DOI: 10.1109/LMWC.2008.2007688     Document Type: Article

References (14)

1. J. S. Hesthaven and T. Warburton, "Nodal high - Order methods on unstructured grids - I. time-domain solution of Maxwell's equations," J. Computai. Phys., vol. 181, pp. 186-211, 2002.
2. T. Xiao and Q. H. Liu, "Three-dimensional unstructured-grid discontinuous Galerkin method for Maxwell' s equations with well-posed perfectly matched layer," Microw. Opt. Technol. Lett., vol. 46, no. 5, pp. 459-463, Sep. 2005.
3. X. Ji, T. Lu, W. Cai, and P. Zhang, "Discontinuous Galerkin time domain (DGTD) methods for the study of 2-D waveguide-coupled microring resonators," J. Lightwave Technol., vol. 23, no. 11, pp. 3864-3874, 2005.
4. M. H. Chen, B. Cockburn, and F. Reitich, "High-order RKDG methods for computational electromagnetics," J. Sci. Comput., vol. 22-23, pp. 205-226, Jun. 2005.
5. T. Lu, W. Cai, and P. Zhang, "Discontinuous Galerkin time-domain method for GPR simulation in dispersive media," IEEE Trans. Geosci. Remote Sens., vol. 43, no. 1, pp. 72-80, Jan 2005.
6. S. G. Garcia, M. F. Pantoja, A. R. Bretones, R. G. Martin, and S. D. Gedney, "A hybrid DGTD-FDTD method for RCS calculations," in Proc. IEEE Antennas Propag. Int. Symp., Honolulu, HI, Jun. 2007, pp. 3500-3503.
7. S. D. Gedney, C. Luo, B. Guernsey, J. A. Roden, R. Crawford, and J. A. Miller, "The discontinuous Galerkin finite element time domain method (DGFETD): A high order, globally-explicit method for parallel computation," in Proc. IEEE Int. Symp. Electromagn. Compat., Jul. 2007, pp. 1-3.
8. K. S. Kona, A. V. Kabakian, T. Sahely, W. F. Hall, and V. Shankar, "Implementation of discontinuous Galerkin (DG) method for antenna applications," in Proc. IEEE Antennas Propag. Int. Symp., Honolulu, HI, Jun. 2007, pp. 4995-4998.
9. M. Bernacki, L. Fezoui, S. Lanteri, and S. Piperno, "Parallel, discontinuous Galerkin unstructured mesh solvers for the calculation of three-dimensional wave propagation problems," Appl. Math. Modelling, vol. 30, no. 8, pp. 744-763, Aug. 2006.
10. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1990.
11. A. Monorchio and. R. Mittra, "Time-domain (FE/FDTD) tehenique for solving complex electromagnetic problems," IEEE Microw. Guided Wave Lett., vol. 8, no. 2, pp. 93-95, Feb. 1998.
12. N. V. Venkatarayalu, G. Y. Beng, and L.-W. Li, "On the numerical errors in the 2-D FE/FDTD algorithm for different hybridization schemes," IEEE Microw. Wireless Compon. Lett., vol. 14, no. 4, pp. 168-170, Apr. 2004.
13. X. Ferneres, J.-P. Parmantier, S. Bertuol, and A. R. Ruddle, "Application of a hybrid finite difference/finite volume method to solve an automotive erne probleme," IEEE Trans. Electromagn. Compat, vol. 46, no. 4, pp. 624-634, Nov. 2004.
14. T. Rylander and A. Bondeson, "Stable FEM-FDTD hybrid method for Maxwell's equations," Comput. Phys. Commun., vol. 125, no. 1-3, pp. 75-82, Mar. 2000.