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Volumn 230, Issue 14, 2011, Pages 5635-5659

The Huygens subgridding for the numerical solution of the Maxwell equations

Author keywords

Domain decomposition; Electromagnetic; FDTD; Huygens surface; Numerical method; Subgrid

Indexed keywords

DOMAIN DECOMPOSITION METHODS; ELECTROMAGNETIC WAVES; FINITE DIFFERENCE TIME DOMAIN METHOD; MAXWELL EQUATIONS;

EID: 79955732835     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2011.03.046     Document Type: Article
Times cited : (28)

References (37)
  • 1
    • 85189840116 scopus 로고    scopus 로고
    • A FDTD subgridding based on Huygens surfaces
    • in: Proc. IEEE Antenn. Propag. Int. Symp., July 3-8,
    • J.-P. Bérenger, A FDTD subgridding based on Huygens surfaces, in: Proc. IEEE Antenn. Propag. Int. Symp., July 3-8, 2005.
    • (2005)
    • Bérenger, J.-P.1
  • 2
    • 34548496103 scopus 로고    scopus 로고
    • A Huygens subgridding for the FDTD method
    • Bérenger J.-P. A Huygens subgridding for the FDTD method. IEEE Trans. Antenn. Propag. 2006, 54:3797-3804.
    • (2006) IEEE Trans. Antenn. Propag. , vol.54 , pp. 3797-3804
    • Bérenger, J.-P.1
  • 3
    • 85189838032 scopus 로고    scopus 로고
    • Three dimensional Huygens subgridding for FDTD
    • in: Proc. IEEE Antenn. Propag. Int. Symp., June 1-5,
    • J.-P. Bérenger, Three dimensional Huygens subgridding for FDTD, in: Proc. IEEE Antenn. Propag. Int. Symp., June 1-5, 2009.
    • (2009)
    • Bérenger, J.-P.1
  • 4
    • 72649091549 scopus 로고    scopus 로고
    • Extension of the FDTD Huygens subgridding algorithm to two dimensions
    • Bérenger J.-P. Extension of the FDTD Huygens subgridding algorithm to two dimensions. IEEE Trans. Antenn. Propag. 2009, 57:3860-3867. 10.1109/TAP.2009.203190.
    • (2009) IEEE Trans. Antenn. Propag. , vol.57 , pp. 3860-3867
    • Bérenger, J.-P.1
  • 6
    • 0025447158 scopus 로고
    • A local mesh refinement algorithm for the time-domain finite-difference method using Maxwell's curl equations
    • Kim I.S., Hoeffer W.J. A local mesh refinement algorithm for the time-domain finite-difference method using Maxwell's curl equations. IEEE Trans. Microw. Theor. Tech. 1990, 38(6):812-815.
    • (1990) IEEE Trans. Microw. Theor. Tech. , vol.38 , Issue.6 , pp. 812-815
    • Kim, I.S.1    Hoeffer, W.J.2
  • 7
    • 0026123458 scopus 로고
    • A subgriding method for the time-domain finite-difference method to solve Maxwell's equations
    • Zivanovic S.S., Yee K.S., Mei K.K. A subgriding method for the time-domain finite-difference method to solve Maxwell's equations. IEEE Trans. Microw. Theor. Tech. 1991, 39(3):471-479.
    • (1991) IEEE Trans. Microw. Theor. Tech. , vol.39 , Issue.3 , pp. 471-479
    • Zivanovic, S.S.1    Yee, K.S.2    Mei, K.K.3
  • 8
    • 0026955616 scopus 로고
    • A method for incorporating different sized cells into the finite-difference time-domain analysis technique
    • Prescott D.T., Shuley N.V. A method for incorporating different sized cells into the finite-difference time-domain analysis technique. IEEE Microw. Guid. Wave Lett. 1992, 2:434-436.
    • (1992) IEEE Microw. Guid. Wave Lett. , vol.2 , pp. 434-436
    • Prescott, D.T.1    Shuley, N.V.2
  • 9
    • 77955223498 scopus 로고
    • An efficient subgriding algorithm for FDTD
    • in: Proc. 11th Ann. Rev. Progress. Appl. Computat. Electromagn., Monterey, CA,
    • D.T. Shimizu, M. Okoniewski, M.A. Stuchly, An efficient subgriding algorithm for FDTD, in: Proc. 11th Ann. Rev. Progress. Appl. Computat. Electromagn., Monterey, CA, pp. 762-766, 1995.
    • (1995) , pp. 762-766
    • Shimizu, D.T.1    Okoniewski, M.2    Stuchly, M.A.3
  • 10
    • 0030247890 scopus 로고    scopus 로고
    • A consistent subgriding scheme for the finite difference time domain method
    • Thoma P., Weiland T. A consistent subgriding scheme for the finite difference time domain method. Int. J. Numer. Model 1996, 9:359-374.
    • (1996) Int. J. Numer. Model , vol.9 , pp. 359-374
    • Thoma, P.1    Weiland, T.2
  • 13
    • 0032675351 scopus 로고    scopus 로고
    • A new subgridding method for the finite-difference time-domain algorithm
    • Yu W., Mittra R. A new subgridding method for the finite-difference time-domain algorithm. IEEE Microw. Opt. Technol. Lett. 1999, 21(5):330-333.
    • (1999) IEEE Microw. Opt. Technol. Lett. , vol.21 , Issue.5 , pp. 330-333
    • Yu, W.1    Mittra, R.2
  • 15
    • 2442460086 scopus 로고    scopus 로고
    • A hybrid ADI-FDTD subgridding scheme for efficient electromagnetic computation
    • Ahmed I., Chen Z. A hybrid ADI-FDTD subgridding scheme for efficient electromagnetic computation. Int. J. Numer. Model 2004, 17:237-249.
    • (2004) Int. J. Numer. Model , vol.17 , pp. 237-249
    • Ahmed, I.1    Chen, Z.2
  • 16
    • 0842290723 scopus 로고    scopus 로고
    • A robust and efficient subgridding algorithm for finite-difference time-domain simulations of Maxwell's equations
    • Vaccari A., Pontalti R., Malacarne C., Cristoforetti L. A robust and efficient subgridding algorithm for finite-difference time-domain simulations of Maxwell's equations. J. Comput. Phys. 2003, 117-139.
    • (2003) J. Comput. Phys. , pp. 117-139
    • Vaccari, A.1    Pontalti, R.2    Malacarne, C.3    Cristoforetti, L.4
  • 17
    • 19144367384 scopus 로고    scopus 로고
    • A new stable hybrid three-dimensional finite difference time domain algorithm for analyzing complex structures
    • Marrone M., Mittra R. A new stable hybrid three-dimensional finite difference time domain algorithm for analyzing complex structures. IEEE Trans. Antenn. Propag. 2005, 53:1729-1737.
    • (2005) IEEE Trans. Antenn. Propag. , vol.53 , pp. 1729-1737
    • Marrone, M.1    Mittra, R.2
  • 18
    • 27644529261 scopus 로고    scopus 로고
    • Improved FDTD subgridding algorithms via digital filtering and domain overriding
    • Donderici B., Teixeira F.L. Improved FDTD subgridding algorithms via digital filtering and domain overriding. IEEE Trans. Antenn. Propag. 2005, 53:2938-2951.
    • (2005) IEEE Trans. Antenn. Propag. , vol.53 , pp. 2938-2951
    • Donderici, B.1    Teixeira, F.L.2
  • 19
    • 30344475260 scopus 로고    scopus 로고
    • Domain-overriding and digital filtering for 3D FDTD subgridded simulations
    • Donderici B., Teixeira F.L. Domain-overriding and digital filtering for 3D FDTD subgridded simulations. IEEE Microw. Wireless Compon. Lett. 2006, 16:10-12.
    • (2006) IEEE Microw. Wireless Compon. Lett. , vol.16 , pp. 10-12
    • Donderici, B.1    Teixeira, F.L.2
  • 20
    • 85189836895 scopus 로고    scopus 로고
    • H-, p- and t-refinement strategies for the finite-difference-time-domain method developed via finite-element principles, Ph.D. Dissertation, The Ohio State University, (available online).
    • R.A. Chilton, H-, p- and t-refinement strategies for the finite-difference-time-domain method developed via finite-element principles, Ph.D. Dissertation, The Ohio State University, 2008, pp. 214 (available online).
    • (2008) , pp. 214
    • Chilton, R.A.1
  • 21
    • 25444469411 scopus 로고    scopus 로고
    • Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
    • Collino F., Fouquet T., Joly P. Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations. J. Comput. Phys. 2006, 211:9-35.
    • (2006) J. Comput. Phys. , vol.211 , pp. 9-35
    • Collino, F.1    Fouquet, T.2    Joly, P.3
  • 22
    • 34548626229 scopus 로고    scopus 로고
    • Conservable and provably stable FDTD subgridding
    • Chilton R.A., Lee R. Conservable and provably stable FDTD subgridding. IEEE Trans. Antenn. Propag. 2006, 55:2537-2549.
    • (2006) IEEE Trans. Antenn. Propag. , vol.55 , pp. 2537-2549
    • Chilton, R.A.1    Lee, R.2
  • 23
    • 34047199603 scopus 로고    scopus 로고
    • A stable FDTD subgridding method based on finite element formulation with hanging variables
    • Venkatarayalu N.V., Lee R., Gan Y.-B., Li L.-W. A stable FDTD subgridding method based on finite element formulation with hanging variables. IEEE Trans. Antenn. Propag. 2007, 55:907-915.
    • (2007) IEEE Trans. Antenn. Propag. , vol.55 , pp. 907-915
    • Venkatarayalu, N.V.1    Lee, R.2    Gan, Y.-B.3    Li, L.-W.4
  • 24
    • 34547126452 scopus 로고    scopus 로고
    • A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis
    • Xiao K., Pommerenke D.J., Drewniak J.L. A three-dimensional FDTD subgridding algorithm with separated temporal and spatial interfaces and related stability analysis. IEEE Trans. Antenn. Propag. 2007, 55:1981-1990.
    • (2007) IEEE Trans. Antenn. Propag. , vol.55 , pp. 1981-1990
    • Xiao, K.1    Pommerenke, D.J.2    Drewniak, J.L.3
  • 25
    • 85189839831 scopus 로고    scopus 로고
    • Application of Huygens subgridding technique to human body modelling
    • in: Proc. IEEE Antenn. Propag. Int. Symp., July 7-11, paper 139.2.
    • M. Abalenkovs, F. Costen, J.-P. Bérenger, A. Brown, Application of Huygens subgridding technique to human body modelling: in: Proc. IEEE Antenn. Propag. Int. Symp., July 7-11, 2008, paper 139.2.
    • (2008)
    • Abalenkovs, M.1    Costen, F.2    Bérenger, J.-P.3    Brown, A.4
  • 26
    • 77950630512 scopus 로고    scopus 로고
    • Extension of the FDTD Huygens subgridding to frequency dependant media
    • in: Annals of Telecom, October doi:10.1007/s12243-009-0131-0
    • F. Costen, J.-P. Bérenger, Extension of the FDTD Huygens subgridding to frequency dependant media, in: Annals of Telecom, October 2009, doi:. doi:10.1007/s12243-009-0131-0.
    • (2009)
    • Costen, F.1    Bérenger, J.-P.2
  • 27
    • 0020207959 scopus 로고
    • A novel method to analyze electromagnetic scattering of complex objects
    • Umashankar K.R., Taflove A. A novel method to analyze electromagnetic scattering of complex objects. IEEE Trans. Electromagn. Compat. 1982, 24:397-405.
    • (1982) IEEE Trans. Electromagn. Compat. , vol.24 , pp. 397-405
    • Umashankar, K.R.1    Taflove, A.2
  • 28
  • 29
    • 0033335996 scopus 로고    scopus 로고
    • Evanescent waves in PML's: origin of the numerical reflection in wave-structure interaction problems
    • Bérenger J.-P. Evanescent waves in PML's: origin of the numerical reflection in wave-structure interaction problems. IEEE Trans. Antenn. Propag. 1999, 47:1497-1503.
    • (1999) IEEE Trans. Antenn. Propag. , vol.47 , pp. 1497-1503
    • Bérenger, J.-P.1
  • 30
    • 0036508263 scopus 로고    scopus 로고
    • Numerical reflection from FDTD-PML's: a comparison of the split PML with the Unsplit and CFS PML's
    • Bérenger J.-P. Numerical reflection from FDTD-PML's: a comparison of the split PML with the Unsplit and CFS PML's. IEEE Trans. Antenn. Propag. 2002, 50:258-265.
    • (2002) IEEE Trans. Antenn. Propag. , vol.50 , pp. 258-265
    • Bérenger, J.-P.1
  • 31
    • 0038180851 scopus 로고    scopus 로고
    • Making use of the PML absorbing boundary condition in coupling and scattering FDTD computer codes
    • Bérenger J.-P. Making use of the PML absorbing boundary condition in coupling and scattering FDTD computer codes. IEEE Trans. Electromagn. Compat. 2003, 45:189-197.
    • (2003) IEEE Trans. Electromagn. Compat. , vol.45 , pp. 189-197
    • Bérenger, J.-P.1
  • 32
    • 85189837625 scopus 로고    scopus 로고
    • Using artificial loss to control the instability in the Huygens subgridding method
    • in: Proc. IEEE Antenn. Propag. Int. Symp., July 11-17,
    • L. Zhou, J.B. Schneider, L.G. Olsen, Using artificial loss to control the instability in the Huygens subgridding method, in: Proc. IEEE Antenn. Propag. Int. Symp., July 11-17, 2010.
    • (2010)
    • Zhou, L.1    Schneider, J.B.2    Olsen, L.G.3
  • 34
    • 85189839409 scopus 로고    scopus 로고
    • A novel subgridding technique for unconditionally stable time domain method
    • in: Proc. IEEE Antenn. Propag. Int. Symp., July 11-17,
    • Z. Huang, G. Pan, A novel subgridding technique for unconditionally stable time domain method, in: Proc. IEEE Antenn. Propag. Int. Symp., July 11-17, 2010.
    • (2010)
    • Huang, Z.1    Pan, G.2
  • 35
    • 85189840499 scopus 로고    scopus 로고
    • Private communication.
    • P. Breuilh, Private communication.
    • Breuilh, P.1
  • 36
    • 84944484598 scopus 로고
    • Some equivalence theorems of electromagnetics and their application to radiation problems
    • Schelkunoff S.A. Some equivalence theorems of electromagnetics and their application to radiation problems. Bell Syst. Tech. J. 1936, 15:92-112.
    • (1936) Bell Syst. Tech. J. , vol.15 , pp. 92-112
    • Schelkunoff, S.A.1
  • 37
    • 0019045377 scopus 로고
    • Finite-difference analysis of EMP coupling to lossy dielectric structures
    • Holland R., Simpson L., Kunz K.S. Finite-difference analysis of EMP coupling to lossy dielectric structures. IEEE Trans. Electromagn. Compat. 1980, 22:203-209.
    • (1980) IEEE Trans. Electromagn. Compat. , vol.22 , pp. 203-209
    • Holland, R.1    Simpson, L.2    Kunz, K.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.