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Volumn 12, Issue 1, 1999, Pages 3-22

Numerical algorithms for the FDiTD and FDFD simulation of slowly varying electromagnetic fields

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTROMAGNETIC FIELDS; FINITE DIFFERENCE METHOD; FREQUENCY DOMAIN ANALYSIS; MATRIX ALGEBRA; MAXWELL EQUATIONS; TIME DOMAIN ANALYSIS;

EID: 0032623677     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1204(199901/04)12:1/2<3::AID-JNM326>3.0.CO;2-5     Document Type: Article
Times cited : (25)

References (54)
  • 1
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K. S. Yee, 'Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media', IEEE Antennas Propagation, AP-14, 302-307 (1966).
    • (1966) IEEE Antennas Propagation , vol.AP-14 , pp. 302-307
    • Yee, K.S.1
  • 2
    • 0030194949 scopus 로고    scopus 로고
    • Time domain electromagnetic field computation with finite difference methods
    • T. Weiland, 'Time domain electromagnetic field computation with finite difference methods', Int. J. Numer. Model., 9, 259-319 (1996).
    • (1996) Int. J. Numer. Model. , vol.9 , pp. 259-319
    • Weiland, T.1
  • 3
    • 0017473116 scopus 로고
    • A discretization method for the solution of Maxwell's equation for six-component fields
    • T. Weiland, 'A discretization method for the solution of Maxwell's equation for six-component fields', Electron. Commun. AEÜ, 31(3), 116-120 (1977).
    • (1977) Electron. Commun. AEÜ , vol.31 , Issue.3 , pp. 116-120
    • Weiland, T.1
  • 5
    • 0028375463 scopus 로고
    • Finite-difference time domain (FDTD) analysis of magnetic diffusion
    • R. Holland, 'Finite-difference time domain (FDTD) analysis of magnetic diffusion', IEEE Trans. Electromagn. Compatibility, 36(1), 32-39 (1994).
    • (1994) IEEE Trans. Electromagn. Compatibility , vol.36 , Issue.1 , pp. 32-39
    • Holland, R.1
  • 6
    • 0031653593 scopus 로고    scopus 로고
    • Using the finite integration time domain technique at low frequencies
    • R. Ehmann and T. Weiland, 'Using the finite integration time domain technique at low frequencies', in Proc. ACES Conf., Monterey, 1998, pp. 825-831.
    • (1998) Proc. ACES Conf., Monterey , pp. 825-831
    • Ehmann, R.1    Weiland, T.2
  • 7
    • 0037486549 scopus 로고    scopus 로고
    • FDTD is bioelectromagnetics: Safety assessment and medical applications
    • A. Tavlove, ed., Chap. 11, Artech House, Boston
    • O. P. Ghandi, 'FDTD is bioelectromagnetics: safety assessment and medical applications', in Advances in Computational Electrodynamics: The Finite-Difference Time-Domain-Method, A. Tavlove, ed., Chap. 11, Artech House, Boston, 1998, pp. 612-651.
    • (1998) Advances in Computational Electrodynamics: The Finite-Difference Time-Domain-Method , pp. 612-651
    • Ghandi, O.P.1
  • 8
    • 0030290769 scopus 로고    scopus 로고
    • Comparison of magnetically induced ELF fields in humans computed by FDTD and scalar potential FD codes
    • T. W. Dawson, J. de Moerloose and M. A. Stuchly, 'Comparison of magnetically induced ELF fields in humans computed by FDTD and scalar potential FD codes', Appl. Comput. Electromagn. Soc. J., 11(3), 63-71 (1996).
    • (1996) Appl. Comput. Electromagn. Soc. J. , vol.11 , Issue.3 , pp. 63-71
    • Dawson, T.W.1    De Moerloose, J.2    Stuchly, M.A.3
  • 11
    • 0000683208 scopus 로고
    • Numerical stability of finite difference time domain methods
    • P. Thoma and T. Weiland, 'Numerical stability of finite difference time domain methods', IEEE Trans. Magn., 34(5), 2740-2743 (1988).
    • (1988) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 2740-2743
    • Thoma, P.1    Weiland, T.2
  • 12
    • 0009345181 scopus 로고    scopus 로고
    • Stability of the FDTD algorithm on nonorthogonal grids related to the spatial interpolation scheme
    • R. Schuhmann and T. Weiland, 'Stability of the FDTD algorithm on nonorthogonal grids related to the spatial interpolation scheme', in Proc. COMPUMAG 97, Vol. 2, 1997, pp. 443-444.
    • (1997) Proc. COMPUMAG 97 , vol.2 , pp. 443-444
    • Schuhmann, R.1    Weiland, T.2
  • 13
    • 0030247890 scopus 로고    scopus 로고
    • A consistent subgridding scheme for the finite difference time domain method
    • P. Thoma and T. Weiland, 'A consistent subgridding scheme for the finite difference time domain method', Int. J. Numer. Model., 9, 359-374 (1996).
    • (1996) Int. J. Numer. Model. , vol.9 , pp. 359-374
    • Thoma, P.1    Weiland, T.2
  • 14
    • 0013359244 scopus 로고    scopus 로고
    • The perfect boundary approximation technique facing the big challenge of high precision computation
    • Chicago, August
    • B. Krietenstein, P. Thoma, R. Schuhmann and T. Weiland, 'The perfect boundary approximation technique facing the big challenge of high precision computation', Proc. 19th LINAC Conf., Chicago, August 1998.
    • (1998) Proc. 19th LINAC Conf.
    • Krietenstein, B.1    Thoma, P.2    Schuhmann, R.3    Weiland, T.4
  • 15
    • 0001420118 scopus 로고
    • On the unique numerical solution of Maxwellian eigenvalue problems in three dimensions
    • T. Weiland, 'On the unique numerical solution of Maxwellian eigenvalue problems in three dimensions', Particle Accelerators, 17, 227-242 (1985).
    • (1985) Particle Accelerators , vol.17 , pp. 227-242
    • Weiland, T.1
  • 16
    • 0026822651 scopus 로고
    • 3D eddy current computation in the frequency domain regarding the displacement current
    • P. Hahne and T. Weiland, '3D Eddy current computation in the frequency domain regarding the displacement current', IEEE Trans. Magn., MA-28(2), 1801-1804 (1992).
    • (1992) IEEE Trans. Magn. , vol.MA-28 , Issue.2 , pp. 1801-1804
    • Hahne, P.1    Weiland, T.2
  • 17
    • 0025067852 scopus 로고
    • The gauge and topology problem in using the magnetic vector potential
    • T. Morisue, 'The gauge and topology problem in using the magnetic vector potential', COMPEL, 9(A), 1-6 (1990).
    • (1990) COMPEL , vol.9 , Issue.A , pp. 1-6
    • Morisue, T.1
  • 18
    • 0023165457 scopus 로고
    • Solution of three dimensional eddy current problems by integral and differential methods
    • R. Rubinacci and G. Albanese, 'Solution of three dimensional eddy current problems by integral and differential methods', IEEE Trans. Magn., 24(1), 98-102 (1988).
    • (1988) IEEE Trans. Magn. , vol.24 , Issue.1 , pp. 98-102
    • Rubinacci, R.1    Albanese, G.2
  • 19
    • 3343003800 scopus 로고
    • FEM analysis of 3D magnetostatic fields
    • K. R. Richter, W. M. Rucker and O. Biro, eds, Technische Universität Universität Graz, October
    • K. Preis, O. Biro, C. Magele, W. Renhart, K. R. Richter and G. Vrisk, 'FEM analysis of 3D magnetostatic fields', In Proc. 4th Int. IGTE Symp. and European TEAM Workshop, K. R. Richter, W. M. Rucker and O. Biro, eds, Technische Universität Universität Graz, October 1990, pp. 91-99.
    • (1990) Proc. 4th Int. IGTE Symp. and European TEAM Workshop , pp. 91-99
    • Preis, K.1    Biro, O.2    Magele, C.3    Renhart, W.4    Richter, K.R.5    Vrisk, G.6
  • 20
    • 0009410147 scopus 로고
    • Study on 3-D eddy current analysis using FEM
    • K. R. Richter, W. M. Rucker and O. Biro, eds, Technische Universität Graz, October
    • A. Kameari, 'Study on 3-D eddy current analysis using FEM', in Proc 4th Int. IGTE Symp. and European TEAM Workshop, K. R. Richter, W. M. Rucker and O. Biro, eds, Technische Universität Graz, October 1990, pp. 91-99.
    • (1990) Proc 4th Int. IGTE Symp. and European TEAM Workshop , pp. 91-99
    • Kameari, A.1
  • 21
    • 0002714847 scopus 로고    scopus 로고
    • Ein überblick über einschrittverfahren zur numerischen integration in der technischen simulation
    • P. Rentrop, K. Strehmel and R. Weiner, 'Ein überblick über Einschrittverfahren zur numerischen Integration in der technischen Simulation', GAMM-Mitteilungen, 1, 9-43 (1996).
    • (1996) GAMM-Mitteilungen , vol.1 , pp. 9-43
    • Rentrop, P.1    Strehmel, K.2    Weiner, R.3
  • 23
    • 33748018109 scopus 로고    scopus 로고
    • Variable step size time integration methods for transient eddy current problems
    • F. Cameron, R. Piche and K. Forsman, 'Variable step size time integration methods for transient eddy current problems, IEEE Trans. Magn., 34(5), 3319-3323 (1998).
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 3319-3323
    • Cameron, F.1    Piche, R.2    Forsman, K.3
  • 24
    • 0029306843 scopus 로고
    • A stability paradox for time-stepping schemes in coupled field-circuit problems
    • I. Tsukerman, 'A stability paradox for time-stepping schemes in coupled field-circuit problems', IEEE Trans. Magn., 31(3), 1857-1860 (1995).
    • (1995) IEEE Trans. Magn. , vol.31 , Issue.3 , pp. 1857-1860
    • Tsukerman, I.1
  • 25
    • 0030144796 scopus 로고    scopus 로고
    • Implicit Runge-Kutta methods for transient magnetic field computation
    • A. Nicolet and F. Delincé, 'Implicit Runge-Kutta methods for transient magnetic field computation', IEEE Trans. Magn., 32, 1405-1408 (1996).
    • (1996) IEEE Trans. Magn. , vol.32 , pp. 1405-1408
    • Nicolet, A.1    Delincé, F.2
  • 26
    • 0001266425 scopus 로고
    • Diagonally implicit Runge-Kutta methods for stiff ODEs
    • R. Alexander, 'Diagonally implicit Runge-Kutta methods for stiff ODEs', SIAM J. Numer. Anal., 14(6), 1006-1022 (1977).
    • (1977) SIAM J. Numer. Anal. , vol.14 , Issue.6 , pp. 1006-1022
    • Alexander, R.1
  • 27
    • 0030081652 scopus 로고    scopus 로고
    • The numerical solution of large systems of stiff IVP's for ODE's
    • K. R. Jackson, 'The numerical solution of large systems of stiff IVP's for ODE's', Appl. Numer. Math., 20, 5-20 (1996).
    • (1996) Appl. Numer. Math. , vol.20 , pp. 5-20
    • Jackson, K.R.1
  • 28
    • 0021825930 scopus 로고
    • A survey of preconditioned iterative methods for linear systems of algebraic equations
    • O. Axelsson, 'A survey of preconditioned iterative methods for linear systems of algebraic equations', BIT, 16, 166-187 (1985).
    • (1985) BIT , vol.16 , pp. 166-187
    • Axelsson, O.1
  • 31
    • 84985316667 scopus 로고
    • On the use of two QMR algorithms for solving singular systems and application in Markov chain modelling
    • R. W. Freund and M. Hochbruck, 'On the use of two QMR algorithms for solving singular systems and application in Markov chain modelling', Numer. Linear Algebra Appl., 1, 403-420 (1994).
    • (1994) Numer. Linear Algebra Appl. , vol.1 , pp. 403-420
    • Freund, R.W.1    Hochbruck, M.2
  • 32
    • 0018321047 scopus 로고
    • Zur berechnung der wirbelströme in beliebig geformten, lamellierten, dreidimensionalen eisenkörpern
    • Teil II: Anwendungen
    • H. Euler and T. Weiland, 'Zur Berechnung der Wirbelströme in beliebig geformten, lamellierten, dreidimensionalen Eisenkörpern', Archiv für Elektrotechnik, 60, 103-109 (1979). Teil II: Anwendungen.
    • (1979) Archiv für Elektrotechnik , vol.60 , pp. 103-109
    • Euler, H.1    Weiland, T.2
  • 33
    • 0018105483 scopus 로고
    • Zur berechnung der wirbelströme in beliebig geformten, lamellierten, dreidimensionalen eisenkörpern
    • Teil I: Die Methode
    • T. Weiland, 'Zur Berechnung der Wirbelströme in beliebig geformten, lamellierten, dreidimensionalen Eisenkörpern', Arch. Elektrotech. 60, 345-351 (1978). Teil I: Die Methode.
    • (1978) Arch. Elektrotech. , vol.60 , pp. 345-351
    • Weiland, T.1
  • 34
    • 85038053501 scopus 로고
    • Ein verfahren zur berechnung von wirbelströmen in massiven, dreidimensionalen, beliebig geformten eisenkörpern
    • Sonderausdruck aus etz-Archiv
    • T. Weiland, 'Ein Verfahren zur Berechnung von Wirbelströmen in massiven, dreidimensionalen, beliebig geformten Eisenkörpern', Arch. elektris. Energietech. der etz, 1, 263-267 (1979). Sonderausdruck aus etz-Archiv.
    • (1979) Arch. Elektris. Energietech. Der Etz , vol.1 , pp. 263-267
    • Weiland, T.1
  • 36
    • 0009337985 scopus 로고
    • Feldberechnung mit oberflächenleitschichten und volumenleitfähigkeit der isolation
    • H. Singer, 'Feldberechnung mit Oberflächenleitschichten und Volumenleitfähigkeit der Isolation', etz-Archiv, 3, 265-267 (1981).
    • (1981) Etz-Archiv , vol.3 , pp. 265-267
    • Singer, H.1
  • 37
    • 21344466178 scopus 로고    scopus 로고
    • Computation of low-frequency electromagnetic fields
    • U. van Rienen, M. Clemens and T. Weiland, 'Computation of low-frequency electromagnetic fields', Z. Angew. Math. Mech., 76 (Suppl.,) 567-568 (1996).
    • (1996) Z. Angew. Math. Mech. , vol.76 , Issue.SUPPL. , pp. 567-568
    • Van Rienen, U.1    Clemens, M.2    Weiland, T.3
  • 38
    • 0030145621 scopus 로고    scopus 로고
    • Simulation of low-frequency fields on high-tension insulators with light contaminations
    • U. van Rienen, M. Clemens and T. Weiland, 'Simulation of low-frequency fields on high-tension insulators with light contaminations, IEEE Trans. Magn., 32(3), 816-819 (1996).
    • (1996) IEEE Trans. Magn. , vol.32 , Issue.3 , pp. 816-819
    • Van Rienen, U.1    Clemens, M.2    Weiland, T.3
  • 39
    • 0031104109 scopus 로고    scopus 로고
    • Calculation of electric field created by transmission lines, by 3D-FE method using complex electric scalar potential
    • R. M. Matias and A. Raizer, 'Calculation of electric field created by transmission lines, by 3D-FE method using complex electric scalar potential', ACES J., 12(1) (1997).
    • (1997) ACES J. , vol.12 , Issue.1
    • Matias, R.M.1    Raizer, A.2
  • 40
    • 0001282530 scopus 로고    scopus 로고
    • Quasi-stationary fields for microelectronic applications
    • K. H. Dirks, 'Quasi-stationary fields for microelectronic applications', Elec. Engg., 79, 145-155 (1996).
    • (1996) Elec. Engg. , vol.79 , pp. 145-155
    • Dirks, K.H.1
  • 41
    • 0029779466 scopus 로고    scopus 로고
    • Modern Krylov subspace methods in electromagnetic field computation using the finite integration theory
    • M. Clemens, R. Schuhmann, U. van Rienen and T. Weiland, 'Modern Krylov subspace methods in electromagnetic field computation using the Finite Integration Theory', ACES J., 11(1), 70-84 (1996).
    • (1996) ACES J. , vol.11 , Issue.1 , pp. 70-84
    • Clemens, M.1    Schuhmann, R.2    Van Rienen, U.3    Weiland, T.4
  • 42
    • 33747911268 scopus 로고    scopus 로고
    • Comparison of Krylov-type methods for complex linear systems applied to high-voltage problems
    • M. Clemens, U. van Rienen and T. Weiland, 'Comparison of Krylov-type methods for complex linear systems applied to high-voltage problems', IEEE Trans. Magn., 34(5), 3335-3338 (1998).
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 3335-3338
    • Clemens, M.1    Van Rienen, U.2    Weiland, T.3
  • 43
    • 0002018457 scopus 로고
    • The exploitation of sparsity by iterative methods
    • I.S. Duff, ed., Springer, Berlin
    • D. A. H. Jacobs, 'The exploitation of sparsity by iterative methods', Sparse Matrices and their Uses, I.S. Duff, ed., Springer, Berlin, 1981, pp. 191-222.
    • (1981) Sparse Matrices and Their Uses , pp. 191-222
    • Jacobs, D.A.H.1
  • 44
    • 0025401744 scopus 로고
    • A Petrow-Galerkin type method for solving Ax = b, where A is symmetric complex
    • H. A. van der Vorst and J. Melissen, 'A Petrow-Galerkin type method for solving Ax = b, where A is symmetric complex', IEEE Trans. Magn., 26(2), 706-708 (1990).
    • (1990) IEEE Trans. Magn. , vol.26 , Issue.2 , pp. 706-708
    • Van Der Vorst, H.A.1    Melissen, J.2
  • 45
    • 51249194447 scopus 로고
    • Relaxationsmethoden bester strategie zur lösung linearer gleichungssysteme
    • E. Stiefel, 'Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme', Comment. Math. Helv., 29, 157-179 (1955).
    • (1955) Comment. Math. Helv. , vol.29 , pp. 157-179
    • Stiefel, E.1
  • 46
    • 0001027363 scopus 로고
    • Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices
    • R. W. Freund, 'Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices', SIAM J. Sci. Statist. Comput., 13(1), 425-448 (1992).
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , Issue.1 , pp. 425-448
    • Freund, R.W.1
  • 47
    • 0000806356 scopus 로고
    • An implementation of the QMR method based on coupled two-term recurrences
    • R. W. Freund and N. M. Nachtigal, 'An implementation of the QMR method based on coupled two-term recurrences', SIAM J. Sci. Comput., 15(2), 313-337 (1994).
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.2 , pp. 313-337
    • Freund, R.W.1    Nachtigal, N.M.2
  • 48
    • 0000048673 scopus 로고
    • GMRES: A generalised minimal residual method for solving nonsymmetric linear systems
    • Y. Saad and M. H. Schultz, 'GMRES: a generalised minimal residual method for solving nonsymmetric linear systems', SIAM J. Sci. Statist. Comput., 7, 856-869 (1986).
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 51
    • 0021479540 scopus 로고
    • A unified set of single step algorithms; part 1: General formulation and applications
    • O. C. Zienkiewicz, W. L. Wood, N. H. Hine and R. L. Taylor, 'A unified set of single step algorithms; part 1: General formulation and applications', Int. J. Numer. Meth. Eng., 20, 1529-1552 (1984).
    • (1984) Int. J. Numer. Meth. Eng. , vol.20 , pp. 1529-1552
    • Zienkiewicz, O.C.1    Wood, W.L.2    Hine, N.H.3    Taylor, R.L.4
  • 52
    • 0003045062 scopus 로고
    • Results for a hollow sphere in a uniform field (benchmark problem 11)
    • C. R. I. Emson, 'Results for a hollow sphere in a uniform field (benchmark problem 11)', COMPEL, 7(1&2), 191-203 (1988).
    • (1988) COMPEL , vol.7 , Issue.1-2 , pp. 191-203
    • Emson, C.R.I.1
  • 53
    • 0025069160 scopus 로고
    • Summary of team workshop test problems 5,7 and 11 using the package CARMEN
    • C. R. I. Emson, 'Summary of TEAM workshop test problems 5,7 and 11 using the package CARMEN', COMPEL, 9(Suppl. A), 191-196 (1990).
    • (1990) COMPEL , vol.9 , Issue.SUPPL. A , pp. 191-196
    • Emson, C.R.I.1
  • 54
    • 0009457220 scopus 로고
    • Numerische feldberechnung für die entwicklung magnetischer sensoren in kraftfahrzeug
    • R. Dietz, E. Zabler, J. Schrimer and F. Heintz, 'Numerische Feldberechnung für die Entwicklung magnetischer Sensoren in Kraftfahrzeug', Technisches Messen, 61(6), 253-264 (1994).
    • (1994) Technisches Messen , vol.61 , Issue.6 , pp. 253-264
    • Dietz, R.1    Zabler, E.2    Schrimer, J.3    Heintz, F.4


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