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Volumn 55, Issue 9, 2007, Pages 2537-2549

Conservative and provably stable FDTD subgridding

Author keywords

Finite difference time domain (FDTD); Finite elements; Geometric multigrid; Nested mesh refinement; Stability analysis; Subgridding

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; FINITE DIFFERENCE TIME DOMAIN METHOD; FINITE ELEMENT METHOD; GRID COMPUTING; INTERPOLATION;

EID: 34548626229     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.904092     Document Type: Article
Times cited : (40)

References (28)
  • 1
    • 0026123458 scopus 로고
    • A subgridding method for the time-domain finite-difference method to solve maxwell's equations
    • Mar
    • S. Zivanovic, K. Yee, and K. Mei, "A subgridding method for the time-domain finite-difference method to solve maxwell's equations," IEEE Trans. Microw. Theory Tech., vol. 39, no. 3, pp. 471-479, Mar. 1991.
    • (1991) IEEE Trans. Microw. Theory Tech , vol.39 , Issue.3 , pp. 471-479
    • Zivanovic, S.1    Yee, K.2    Mei, K.3
  • 2
    • 0031094695 scopus 로고    scopus 로고
    • FDTD local grid with material traverse
    • Mar
    • M. Chevalier, R. Luebbers, and V. Cable, "FDTD local grid with material traverse," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 411-421, Mar. 1997.
    • (1997) IEEE Trans. Antennas Propag , vol.45 , Issue.3 , pp. 411-421
    • Chevalier, M.1    Luebbers, R.2    Cable, V.3
  • 3
    • 0031099576 scopus 로고    scopus 로고
    • Three-dimensional subgridding algorithm for FDTD
    • March
    • M. Okeniewski, E. Okoniewska, and M. Stuchly, "Three-dimensional subgridding algorithm for FDTD," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 422-429, March 1997.
    • (1997) IEEE Trans. Antennas Propag , vol.45 , Issue.3 , pp. 422-429
    • Okeniewski, M.1    Okoniewska, E.2    Stuchly, M.3
  • 4
    • 0035273831 scopus 로고    scopus 로고
    • A new 3-D FDTD multigrid technique with dielectric traverse capabilities
    • Mar
    • M. White, Z. Yun, and M. Iskander, "A new 3-D FDTD multigrid technique with dielectric traverse capabilities," IEEE Trans. Microw. Theory Tech., vol. 49, no. 3, pp. 422-430, Mar. 2001.
    • (2001) IEEE Trans. Microw. Theory Tech , vol.49 , Issue.3 , pp. 422-430
    • White, M.1    Yun, Z.2    Iskander, M.3
  • 5
    • 0029734081 scopus 로고    scopus 로고
    • Subgridding FDTD schemes
    • P. Monk, "Subgridding FDTD schemes," Appl. Comput. Electromagn. Society J., vol. 11, no. 1, pp. 37-46, 1996.
    • (1996) Appl. Comput. Electromagn. Society J , vol.11 , Issue.1 , pp. 37-46
    • Monk, P.1
  • 6
    • 0038519709 scopus 로고    scopus 로고
    • New flexible subgridding scheme for the finite integration technique
    • May
    • O. Podebrad, M. Clemons, and T. Weiland, "New flexible subgridding scheme for the finite integration technique," IEEE Trans. Magn., vol. 39, no. 3, pp. 1662-1665, May 2003.
    • (2003) IEEE Trans. Magn , vol.39 , Issue.3 , pp. 1662-1665
    • Podebrad, O.1    Clemons, M.2    Weiland, T.3
  • 7
    • 34548644948 scopus 로고    scopus 로고
    • A stable FDTD subgridding method based on finite element formulation with hanging variables
    • submitted for publication
    • N. Venkalarayalu, R. Lee, Y. Gan, and L. Lee, "A stable FDTD subgridding method based on finite element formulation with hanging variables," IEEE Trans. Microw. Theory Tech., submitted for publication.
    • IEEE Trans. Microw. Theory Tech
    • Venkalarayalu, N.1    Lee, R.2    Gan, Y.3    Lee, L.4
  • 8
    • 2342565178 scopus 로고    scopus 로고
    • Finite element basis functions for nested meshes of non-uniform refinement level
    • March
    • V. Hill, O. Farle, and R. Dyczij-Edlinger, "Finite element basis functions for nested meshes of non-uniform refinement level," IEEE Trans. Magn., vol. 40, pp. 981-984, March 2004.
    • (2004) IEEE Trans. Magn , vol.40 , pp. 981-984
    • Hill, V.1    Farle, O.2    Dyczij-Edlinger, R.3
  • 9
    • 0031094659 scopus 로고    scopus 로고
    • Time domain finite element methods
    • Mar
    • J. Lee, R. Lee, and A. Cangellaris, "Time domain finite element methods," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 430-442, Mar. 1997.
    • (1997) IEEE Trans. Antennas Propag , vol.45 , Issue.3 , pp. 430-442
    • Lee, J.1    Lee, R.2    Cangellaris, A.3
  • 10
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • May
    • K. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag., vol. 14, pp. 302-307, May 1966.
    • (1966) IEEE Trans. Antennas Propag , vol.14 , pp. 302-307
    • Yee, K.1
  • 11
    • 0029310036 scopus 로고
    • A finite element method based on Whitney forms to solve Maxwell equations in the time domain
    • May
    • M.-F. Wong, O. Picon, and V. F. Hanna, "A finite element method based on Whitney forms to solve Maxwell equations in the time domain," IEEE Trans. Magn., vol. 31, no. 3, pp. 1618-1621, May 1995.
    • (1995) IEEE Trans. Magn , vol.31 , Issue.3 , pp. 1618-1621
    • Wong, M.-F.1    Picon, O.2    Hanna, V.F.3
  • 12
    • 0024104484 scopus 로고
    • Whitney forms: A class of finite elements for three-dimensional computations in electromagnetism
    • Nov
    • A. Bossavit, "Whitney forms: A class of finite elements for three-dimensional computations in electromagnetism," IEEE Proc., vol. 135, no. 8, pp. 493-500, Nov. 1988.
    • (1988) IEEE Proc , vol.135 , Issue.8 , pp. 493-500
    • Bossavit, A.1
  • 13
    • 0038521057 scopus 로고    scopus 로고
    • Stabilized multilevel vector finite element solver for time-harmonic electromagnetic waves
    • May
    • V. Hill, O. Farle, and R. Dyczij-Edlinger, "Stabilized multilevel vector finite element solver for time-harmonic electromagnetic waves," IEEE Trans. Magn., vol. 39, no. 3, pp. 1203-1206, May 2003.
    • (2003) IEEE Trans. Magn , vol.39 , Issue.3 , pp. 1203-1206
    • Hill, V.1    Farle, O.2    Dyczij-Edlinger, R.3
  • 14
    • 0023165973 scopus 로고
    • A rationale for edge-elements in 3-D fields computations
    • Jan
    • A. Bossavit, "A rationale for edge-elements in 3-D fields computations," IEEE Trans. Magn., vol. 24, no. 1, pp. 74-79, Jan. 1988.
    • (1988) IEEE Trans. Magn , vol.24 , Issue.1 , pp. 74-79
    • Bossavit, A.1
  • 16
    • 12944297154 scopus 로고    scopus 로고
    • On the degrees of freedom of lattice electrodynamics
    • B. He and F. Teixeira, "On the degrees of freedom of lattice electrodynamics," Phys. Lett. A, vol. 336, pp. 1-7, 2005.
    • (2005) Phys. Lett. A , vol.336 , pp. 1-7
    • He, B.1    Teixeira, F.2
  • 17
    • 25444469411 scopus 로고    scopus 로고
    • Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations
    • Jan
    • F. Collino, T. Fouquet, and P. Joly, "Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations," J. Comput. Phys., vol. 211, pp. 9-35, Jan. 2006.
    • (2006) J. Comput. Phys , vol.211 , pp. 9-35
    • Collino, F.1    Fouquet, T.2    Joly, P.3
  • 18
    • 4344562945 scopus 로고    scopus 로고
    • High order symplectic integration methods for finite element solutions to time dependent Maxwell equations
    • Aug
    • R. Rieben, D. White, and G. Rodrigue, "High order symplectic integration methods for finite element solutions to time dependent Maxwell equations," IEEE Trans. Antennas Propag., vol. 52, no. 8, pp. 2190-2195, Aug. 2004.
    • (2004) IEEE Trans. Antennas Propag , vol.52 , Issue.8 , pp. 2190-2195
    • Rieben, R.1    White, D.2    Rodrigue, G.3
  • 19
    • 0020207959 scopus 로고
    • A novel method to analyze electromagnetic scattering of complex objects
    • Nov
    • K. Umashankar and A. Taflove, "A novel method to analyze electromagnetic scattering of complex objects," IEEE Trans. Electromagn. Compat., vol. 24, no. 4, pp. 397-405, Nov. 1982.
    • (1982) IEEE Trans. Electromagn. Compat , vol.24 , Issue.4 , pp. 397-405
    • Umashankar, K.1    Taflove, A.2
  • 20
    • 18244386907 scopus 로고    scopus 로고
    • Conservation of discrete energy and related laws in the finite integration technique
    • R. Schuhmann and T. Weiland, "Conservation of discrete energy and related laws in the finite integration technique," Progr. Electromagn. Res., vol. 32, pp. 301-316, 2001.
    • (2001) Progr. Electromagn. Res , vol.32 , pp. 301-316
    • Schuhmann, R.1    Weiland, T.2
  • 21
    • 0032289731 scopus 로고    scopus 로고
    • Divergent fields, charge and capacitance in FDTD simulations
    • C. Wagner and J. Schneider, "Divergent fields, charge and capacitance in FDTD simulations," IEEE Trans. Microw. Theory Tech., vol. 46, no. 12, pp. 2131-2136, 1998.
    • (1998) IEEE Trans. Microw. Theory Tech , vol.46 , Issue.12 , pp. 2131-2136
    • Wagner, C.1    Schneider, J.2
  • 23
    • 2442621238 scopus 로고    scopus 로고
    • Some remarks on the stability of time-domain electromagnetic simulations
    • Mar
    • S. Wang and F. L. Teixeira, "Some remarks on the stability of time-domain electromagnetic simulations," IEEE Trans. Antennas Propag., vol. 52, no. 3, pp. 895-898, Mar. 2004.
    • (2004) IEEE Trans. Antennas Propag , vol.52 , Issue.3 , pp. 895-898
    • Wang, S.1    Teixeira, F.L.2
  • 24
    • 27644529261 scopus 로고    scopus 로고
    • Improved FDTD subgridding algorithms via digital filtering and domain overriding
    • Sep
    • B. Donderici and F. L. Teixeira, "Improved FDTD subgridding algorithms via digital filtering and domain overriding," IEEE Trans. Antennas Propag., vol. 53, no. 9, pp. 2938-2951, Sep. 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.9 , pp. 2938-2951
    • Donderici, B.1    Teixeira, F.L.2
  • 25
    • 0029480058 scopus 로고
    • A perfectly matched anisotropic absorber for use as an absorbing boundary condition
    • Dec
    • Z. S. Sacks, D. Kingsland, R. Lee, and J. F. Lee, "A perfectly matched anisotropic absorber for use as an absorbing boundary condition," IEEE Trans. Antennas Propag., vol. 43, no. 12, pp. 1460-1463, Dec. 1995.
    • (1995) IEEE Trans. Antennas Propag , vol.43 , Issue.12 , pp. 1460-1463
    • Sacks, Z.S.1    Kingsland, D.2    Lee, R.3    Lee, J.F.4
  • 26
    • 0030384174 scopus 로고    scopus 로고
    • An anisotropic perfectly matched layer absorbing media for the trunction of FDTD lattices
    • Dec
    • S. D. Gedney, "An anisotropic perfectly matched layer absorbing media for the trunction of FDTD lattices," IEEE Trans. Antennas Propag. vol. 44, no. 12, pp. 1630-1639, Dec. 1996.
    • (1996) IEEE Trans. Antennas Propag , vol.44 , Issue.12 , pp. 1630-1639
    • Gedney, S.D.1
  • 28
    • 84900997424 scopus 로고    scopus 로고
    • Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
    • submitted for publication
    • S. Piperno, "Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems," RAIRO Modi Math. Anal Numr., 2005, submitted for publication.
    • (2005) RAIRO Modi Math. Anal Numr
    • Piperno, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.