메뉴 건너뛰기




Volumn 152, Issue 2, 2005, Pages 50-72

Large systems of equations in a discrete electromagnetism: Formulations and numerical algorithms

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ELECTROMAGNETIC FIELD THEORY; EXTRAPOLATION; INTEGRAL EQUATIONS; ITERATIVE METHODS; LINEARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; MAXWELL EQUATIONS; NONLINEAR SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; TIME DOMAIN ANALYSIS;

EID: 17644423966     PISSN: 13502344     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1049/ip-smt:20050849     Document Type: Review
Times cited : (27)

References (163)
  • 1
    • 0017473116 scopus 로고
    • 'A discretisation method for the solution of Maxwell's equations for six-component fields'
    • Weiland, T.: 'A discretisation method for the solution of Maxwell's equations for six-component fields', Electron. Commun. AEÜ, 1977, 31, (3), pp. 116-120
    • (1977) Electron. Commun. AEÜ , vol.31 , Issue.3 , pp. 116-120
    • Weiland, T.1
  • 2
    • 0030194949 scopus 로고    scopus 로고
    • 'Time-domain electromagnetic field computation with finite-difference methods'
    • Weiland, T.: 'Time-domain electromagnetic field computation with finite-difference methods,', Int. J. Numer. Model, ENDF, 1996, 9, pp. 259-319
    • (1996) Int. J. Numer. Model, ENDF , vol.9 , pp. 259-319
    • Weiland, T.1
  • 3
    • 0032201957 scopus 로고    scopus 로고
    • 'A stable interpolation technique for FDTD on nonorthogonal grids'
    • Schuhmann, R., and Weiland, T.: 'A stable interpolation technique for FDTD on nonorthogonal grids', Int. J. Numer. Model ENDF, 1998, 11, (6), pp. 299-306
    • (1998) Int. J. Numer. Model ENDF , vol.11 , Issue.6 , pp. 299-306
    • Schuhmann, R.1    Weiland, T.2
  • 4
    • 0004159622 scopus 로고    scopus 로고
    • 'Zur numerischen Lösung der Maxwellschen Gleichungen im Zeitbereich'
    • PhD Thesis, Technische Universität Darmstadt
    • Thoma, P.: 'Zur numerischen Lösung der Maxwellschen Gleichungen im Zeitbereich'. PhD Thesis, Technische Universität Darmstadt, 1997
    • (1997)
    • Thoma, P.1
  • 5
    • 0038532223 scopus 로고    scopus 로고
    • 'Discrete electromagnetism: Maxwell's equations tailored for numerical simulations'
    • Clemens, M., and Weiland, T.: 'Discrete electromagnetism: Maxwell's equations tailored for numerical simulations', ICS Newsl., 2001, 8, (2), pp. 13-20
    • (2001) ICS Newsl. , vol.8 , Issue.2 , pp. 13-20
    • Clemens, M.1    Weiland, T.2
  • 6
    • 18244400008 scopus 로고    scopus 로고
    • 'Discrete electromagnetism with the finite integration technique'
    • Teixeira, F.L. (ed.): (EMW Publishing, Cambridge, MA, USA)
    • Clemens, M., and Weiland, T.: 'Discrete electromagnetism with the finite integration technique', in: Teixeira, F.L. (ed.): 'Geometric methods for computational electromagnetics', (EMW Publishing, Cambridge, MA, USA, 2001), pp. 65-87
    • (2001) 'Geometric Methods for Computational Electromagnetics' , pp. 65-87
    • Clemens, M.1    Weiland, T.2
  • 7
    • 0001221130 scopus 로고    scopus 로고
    • 'A direct formulation of field laws: The cell method'
    • Tonti, E.: 'A direct formulation of field laws: the cell method', Comput. Model Eng. Sci, 2001, 2, (2), pp. 237-258
    • (2001) Comput. Model Eng. Sci , vol.2 , Issue.2 , pp. 237-258
    • Tonti, E.1
  • 9
    • 0003500491 scopus 로고    scopus 로고
    • 'Computational electromagnetism: Variational formulations, complementarity, edge elements'
    • (Academic Press, Boston, MA)
    • Bossavit, A.: 'Computational electromagnetism: variational formulations, complementarity, edge elements', (Academic Press, Boston, MA, 1998)
    • (1998)
    • Bossavit, A.1
  • 10
    • 0012962838 scopus 로고    scopus 로고
    • 'Computational electromagnetism and geometry: Building a finite-dimensional 'Maxwell's house' network equations'
    • Bossavit, A.: 'Computational electromagnetism and geometry: Building a finite-dimensional 'Maxwell's house' network equations', J. Jpn Soc. Appl. Electromagn. Mech., 2001, 7, (2), pp. 150-159
    • (2001) J. Jpn Soc. Appl. Electromagn. Mech. , vol.7 , Issue.2 , pp. 150-159
    • Bossavit, A.1
  • 11
    • 0003462895 scopus 로고    scopus 로고
    • 'Topologie'
    • (Springer, New York, 5th edn.)
    • Jänich, K.: 'Topologie' (Springer, New York, 1996, 5th edn.)
    • (1996)
    • Jänich, K.1
  • 12
    • 0010567091 scopus 로고
    • 'Vektoranalysis'
    • (Springer, New York, 2nd edn.)
    • Jänich, K.: 'Vektoranalysis', (Springer, New York, 1993, 2nd edn.)
    • (1993)
    • Jänich, K.1
  • 13
    • 15044361786 scopus 로고
    • 'Zur numerischen lösung des eigenwellenproblems längshomogener wellenleiter beliebiger Randkontur und transversal inhomogener Materialbelegung'
    • PhD Thesis, Technische Hochschule Darmstadt
    • Weiland, T.: 'Zur numerischen lösung des eigenwellenproblems längshomogener wellenleiter beliebiger Randkontur und transversal inhomogener Materialbelegung', PhD Thesis, Technische Hochschule Darmstadt, 1977
    • (1977)
    • Weiland, T.1
  • 14
    • 0021310564 scopus 로고
    • 'On the numerical solution of maxwellian equations and applications in the field of accelerator physics'
    • Weiland, T.: 'On the numerical solution of maxwellian equations and applications in the field of accelerator physics', Part. Accel., 1984, 15, pp. 245-292
    • (1984) Part. Accel. , vol.15 , pp. 245-292
    • Weiland, T.1
  • 15
    • 0034220791 scopus 로고    scopus 로고
    • 'Numerical simulation of coupled transient thermal and electromagnetic fields with the FI method'
    • Clemens, M., Gjonaj, E., Pinder, P., and Weiland, T.: 'Numerical simulation of coupled transient thermal and electromagnetic fields with the FI method', IEEE Trans. Magn., 2000, 36, (4), pp. 1448-1452
    • (2000) IEEE Trans. Magn. , vol.36 , Issue.4 , pp. 1448-1452
    • Clemens, M.1    Gjonaj, E.2    Pinder, P.3    Weiland, T.4
  • 16
    • 0035440694 scopus 로고    scopus 로고
    • 'Self-consistent simulations of transient heating effects in electrical devices using the finite integration technique'
    • Clemens, M., Gjonaj, E., Pinder, P., and Weiland, T.: 'Self-consistent simulations of transient heating effects in electrical devices using the finite integration technique', IEEE Trans. Magn., 2001, 37, (5), pp. 3375-3379
    • (2001) IEEE Trans. Magn. , vol.37 , Issue.5 , pp. 3375-3379
    • Clemens, M.1    Gjonaj, E.2    Pinder, P.3    Weiland, T.4
  • 17
    • 0033121840 scopus 로고    scopus 로고
    • 'Transient eddy-current calculation with the FI method'
    • Clemens, M., and Weiland, T.: 'Transient eddy-current calculation with the FI method', IEEE Trans. Magn., 1999, 35, (3), pp. 1163-1166
    • (1999) IEEE Trans. Magn. , vol.35 , Issue.3 , pp. 1163-1166
    • Clemens, M.1    Weiland, T.2
  • 18
    • 0022158699 scopus 로고
    • 'Triangular discretisation method for the evaluation of RF-fields in cylindrically symmetric cavities'
    • van Rienen, U., and Weiland, T.: 'Triangular discretisation method for the evaluation of RF-fields in cylindrically symmetric cavities', IEEE Trans. Magn., 1985, 21, (6), pp. 2317-2320
    • (1985) IEEE Trans. Magn. , vol.21 , Issue.6 , pp. 2317-2320
    • van Rienen, U.1    Weiland, T.2
  • 19
    • 0028413741 scopus 로고
    • 'A convergence analysis of Yee's scheme on nonuniform grids'
    • Monk, P.: 'A convergence analysis of Yee's scheme on nonuniform grids', SIAM J. Numer. Anal., 1994, 31, (2), pp. 393-412
    • (1994) SIAM J. Numer. Anal. , vol.31 , Issue.2 , pp. 393-412
    • Monk, P.1
  • 20
    • 0018457672 scopus 로고
    • 'Lossy waveguides with arbitrary boundary contour and distribution of material'
    • Weiland, T.: 'Lossy waveguides with arbitrary boundary contour and distribution of material', AEU-Int. J. Electron. Commun., 1979, 33, p. 170
    • (1979) AEU-Int. J. Electron. Commun. , vol.33 , pp. 170
    • Weiland, T.1
  • 21
    • 0020409220 scopus 로고
    • 'Numerical solution of 2- and 3-dimensional nonlinear field problems by means of the computer program PROFI'
    • Müller, W., Krüger, J., Jacobus, A., Winz, R., Weiland, T., Euler, H., Kamm, U., and Novender, W.R.: 'Numerical solution of 2- and 3-dimensional nonlinear field problems by means of the computer program PROFI', Arch. Elektrotech., 1982, 65, pp. 299-307
    • (1982) Arch. Elektrotech. , vol.65 , pp. 299-307
    • Müller, W.1    Krüger, J.2    Jacobus, A.3    Winz, R.4    Weiland, T.5    Euler, H.6    Kamm, U.7    Novender, W.R.8
  • 22
    • 0030247890 scopus 로고    scopus 로고
    • 'A consistent subgridding scheme for the finite-difference time-domain method'
    • Thoma, P., and Weiland, T.: 'A consistent subgridding scheme for the finite-difference time-domain method', Int. J. Numer. Model, ENDF, 1996, 9, pp. 359-374
    • (1996) Int. J. Numer. Model, ENDF , vol.9 , pp. 359-374
    • Thoma, P.1    Weiland, T.2
  • 23
    • 0005822099 scopus 로고    scopus 로고
    • 'Finite integration der Maxwellschen gleichungen auf lokal verfeinerten orthogonalen Gittern'
    • PhD Thesis, Technische Universität Darmstadt
    • Pǒdebrad, O.: 'Finite integration der Maxwellschen gleichungen auf lokal verfeinerten orthogonalen Gittern', PhD Thesis, Technische Universität Darmstadt, 2001
    • (2001)
    • Pǒdebrad, O.1
  • 24
    • 0038519709 scopus 로고    scopus 로고
    • 'New flexible subgridding for the finite integration technique'
    • Pǒdebrad, O., Clemens, M., and Weiland, T.: 'New flexible subgridding for the finite integration technique', IEEE Trans. Magn., 2003, 39, (3), pp. 1662-1665
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1662-1665
    • Pǒdebrad, O.1    Clemens, M.2    Weiland, T.3
  • 25
    • 0010917777 scopus 로고    scopus 로고
    • 'A survey on the computational electromagnetic field computation with the FI-method'
    • Clemens, M., Thoma, P., van Rienen, U., and Weiland, T.: 'A survey on the computational electromagnetic field computation with the FI-method', Surv. Math. Ind., 1999, 8, (3-4), pp. 213-232
    • (1999) Surv. Math. Ind. , vol.8 , Issue.3-4 , pp. 213-232
    • Clemens, M.1    Thoma, P.2    van Rienen, U.3    Weiland, T.4
  • 26
    • 0035172542 scopus 로고    scopus 로고
    • 'A conformal finite difference time domain technique for modeling curved dielectric surfaces'
    • Yu, W., and Mittra, R.: 'A conformal finite difference time domain technique for modeling curved dielectric surfaces', IEEE Microw. Wirel. Compon. Lett., 2001, 11, (1), pp. 25-27
    • (2001) IEEE Microw. Wirel. Compon. Lett. , vol.11 , Issue.1 , pp. 25-27
    • Yu, W.1    Mittra, R.2
  • 27
    • 0036493596 scopus 로고    scopus 로고
    • 'Magnetic field simulation using conformal FIT formulations'
    • Clemens, M., and Weiland, T.: 'Magnetic field simulation using conformal FIT formulations', IEEE Trans. Magn., 2002, 38, (2), pp. 389-392
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 389-392
    • Clemens, M.1    Weiland, T.2
  • 28
    • 0037341381 scopus 로고    scopus 로고
    • 'A uniformly stable conformal FDTD-method in cartesian grids'
    • Zagorodnov, I., Sehuhmann, R., and Weiland, T.: 'A uniformly stable conformal FDTD-method in cartesian grids', Int. J. Numer. Model, ENDF 2003, 16, pp. 127-141
    • (2003) Int. J. Numer. Model, ENDF , vol.16 , pp. 127-141
    • Zagorodnov, I.1    Sehuhmann, R.2    Weiland, T.3
  • 29
    • 0033121759 scopus 로고    scopus 로고
    • 'FDTD on nonorthogonal grids with triangular fillings'
    • Schuhmann, R., and Weiland, T.: 'FDTD on nonorthogonal grids with triangular fillings', IEEE Trans. Magn., 1999, 35, (3), pp. 1470-1473
    • (1999) IEEE Trans. Magn. , vol.35 , Issue.3 , pp. 1470-1473
    • Schuhmann, R.1    Weiland, T.2
  • 30
    • 17644386099 scopus 로고    scopus 로고
    • 'Transient eddy-current simulation using the nonorthogonal finite integration technique'
    • Clemens, M., Hilgner, M., Schuhmann, R., and Weiland, T.: 'Transient eddy-current simulation using the nonorthogonal finite integration technique', Proc. CEFC'00, 2000, p. 385
    • (2000) Proc. CEFC'00 , pp. 385
    • Clemens, M.1    Hilgner, M.2    Schuhmann, R.3    Weiland, T.4
  • 31
    • 0034217635 scopus 로고    scopus 로고
    • 'Yee-like schemes on staggered cellular grids: A synthesis between FIT and FEM approaches'
    • Bossavit, A., and Kettunen, L.: 'Yee-like schemes on staggered cellular grids: a synthesis between FIT and FEM approaches', IEEE Trans. Magn. 2000, 36, (4), pp. 861-867
    • (2000) IEEE Trans. Magn. , vol.36 , Issue.4 , pp. 861-867
    • Bossavit, A.1    Kettunen, L.2
  • 32
    • 2342659910 scopus 로고    scopus 로고
    • 'Computational aspects of the cell method in electrodynamics'
    • Teixeira, F.L. (ed.): (EMW Publishing, Cambridge, MA, USA)
    • Marrone, M.: 'Computational aspects of the cell method in electrodynamics', in: Teixeira, F.L. (ed.): 'Geometric methods for computational electromagnetics', (EMW Publishing, Cambridge, MA, USA, 2001), pp. 318-357
    • (2001) 'Geometric Methods for Computational Electromagnetics' , pp. 318-357
    • Marrone, M.1
  • 33
    • 24344445311 scopus 로고    scopus 로고
    • 'Convergence and stability of the cell method with nonsymmetric constitutive matrices'
    • Marrone, M.: 'Convergence and stability of the cell method with nonsymmetric constitutive matrices'. Proc. Compumag Conf., 2001, vol. 4, pp. 16-17
    • (2001) Proc. Compumag Conf. , vol.4 , pp. 16-17
    • Marrone, M.1
  • 34
    • 0038182384 scopus 로고    scopus 로고
    • 'Electrostatic analysis for plane problems with finite formulation'
    • Repetto, M., and Trevisan, F.: 'Electrostatic analysis for plane problems with finite formulation', IEEE Trans. Magn., 2003, 39 (3), pp. 1127-1130
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1127-1130
    • Repetto, M.1    Trevisan, F.2
  • 35
    • 17644379280 scopus 로고    scopus 로고
    • 'A new consistent way to build symmetric constitutive matrices within the cell method on arbitrary 2D grids'
    • Saratoga Springs, USA
    • Marrone, M.: 'A new consistent way to build symmetric constitutive matrices within the cell method on arbitrary 2D grids'. Proc. Compumag 2003, Saratoga Springs, USA, 2003, vol. 3
    • (2003) Proc. Compumag 2003 , vol.3
    • Marrone, M.1
  • 36
    • 2342515511 scopus 로고    scopus 로고
    • 'Use of barycentric dual grids for the solution of frequency-domain problems by FIT'
    • Codecasa, L., Minerva, V., and Politi, M.: 'Use of barycentric dual grids for the solution of frequency-domain problems by FIT', IEEE Trans. Magn., 2004, 40, (2), pp. 1414-1419
    • (2004) IEEE Trans. Magn. , vol.40 , Issue.2 , pp. 1414-1419
    • Codecasa, L.1    Minerva, V.2    Politi, M.3
  • 37
    • 4544255452 scopus 로고    scopus 로고
    • 'Consistent material operators for tetrahedral grids based on geometrical principles'
    • (in press)
    • Cinalli, M., Edelvik, F., Schuhmann, R., and Weiland, T.: 'Consistent material operators for tetrahedral grids based on geometrical principles', Int. J. Num. Mod. ENDF., 2004, (in press)
    • (2004) Int. J. Num. Mod. ENDF.
    • Cinalli, M.1    Edelvik, F.2    Schuhmann, R.3    Weiland, T.4
  • 39
    • 0016519426 scopus 로고
    • 'Ein beitrag zur numerischen berechnung von magnetfeldern'
    • Müller, W., and Wolff, W.: 'Ein beitrag zur numerischen berechnung von magnetfeldern', ETZ, 1975, 96, pp. 269-273
    • (1975) ETZ , vol.96 , pp. 269-273
    • Müller, W.1    Wolff, W.2
  • 40
    • 0018105483 scopus 로고
    • 'Zur Berechnung der Wirbelströme in beliebig geformten, lamellierten, dreidimensionalen Eisenkörpern'
    • (teil I: Die Methode)
    • Weiland, T.: 'Zur Berechnung der Wirbelströme in beliebig geformten, lamellierten, dreidimensionalen Eisenkörpern', Arch. Elektrotech. 1978, 60, pp. 345-351 (teil I: Die Methode)
    • (1978) Arch. Elektrotech. , vol.60 , pp. 345-351
    • Weiland, T.1
  • 41
    • 0002298206 scopus 로고    scopus 로고
    • 'Algebraic properties and conservation laws in the discrete electromagnetism'
    • Clemens, M., Schuhmann, R., and Weiland, T.: 'Algebraic properties and conservation laws in the discrete electromagnetism', Frequenz, 1999, 53, (11-12), pp. 218-225
    • (1999) Frequenz , vol.53 , Issue.11-12 , pp. 218-225
    • Clemens, M.1    Schuhmann, R.2    Weiland, T.3
  • 42
    • 0004224004 scopus 로고
    • 'Electromagnetic fields and energy'
    • (Prentice Hall, Englewood Cliffs, New Jersey)
    • Haus, H.A., and Melcher, J.R.: 'Electromagnetic fields and energy' (Prentice Hall, Englewood Cliffs, New Jersey, 1989)
    • (1989)
    • Haus, H.A.1    Melcher, J.R.2
  • 43
    • 2342559252 scopus 로고    scopus 로고
    • 'Transient simulation of nonlinear electroquasistatic problems using the finite integration technique'
    • Graz
    • Clemens, M., De Gersem, H., Koch, W., Wilke, M., and Weiland, T.: 'Transient simulation of nonlinear electroquasistatic problems using the finite integration technique', Proc. IGTE 2002 Conf., Graz, 2002, pp. 510-515
    • (2002) Proc. IGTE 2002 Conf. , pp. 510-515
    • Clemens, M.1    De Gersem, H.2    Koch, W.3    Wilke, M.4    Weiland, T.5
  • 45
    • 33748010166 scopus 로고    scopus 로고
    • 'Coupling of local and global quantities in various finite-element formulations and its application to electrostatics, magnetostatics and magnetodynamics'
    • Dular, P., Legros, W., and Nicolet, A.: 'Coupling of local and global quantities in various finite-element formulations and its application to electrostatics, magnetostatics and magnetodynamics', IEEE Trans. Magn., 1998, 34, (5), pp. 3078-3081
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 3078-3081
    • Dular, P.1    Legros, W.2    Nicolet, A.3
  • 46
    • 0003881705 scopus 로고
    • 'Mixed and hybrid finite-element methods'
    • (Springer-Verlag, Berlin)
    • Brezzi, F., and Fortin, M.: 'Mixed and hybrid finite-element methods', (Springer-Verlag, Berlin, 1991)
    • (1991)
    • Brezzi, F.1    Fortin, M.2
  • 47
    • 0030145621 scopus 로고    scopus 로고
    • 'Simulation of low-frequency fields on high-tension insulators with light contaminations'
    • van Rienen, U., Clemens, M., and Weiland, T.: 'Simulation of low-frequency fields on high-tension insulators with light contaminations', IEEE Trans. Magn., 1996, 32, (3), pp. 816-819
    • (1996) IEEE Trans. Magn. , vol.32 , Issue.3 , pp. 816-819
    • van Rienen, U.1    Clemens, M.2    Weiland, T.3
  • 48
    • 33646938770 scopus 로고    scopus 로고
    • 'Interaction of low-frequency electric and magnetic fields with the human body'
    • Dawson, T.W., and Stuchly, M.A.: 'Interaction of low-frequency electric and magnetic fields with the human body', Proc. IEEE, 2000, 88 (5), pp. 643-666
    • (2000) Proc. IEEE , vol.88 , Issue.5 , pp. 643-666
    • Dawson, T.W.1    Stuchly, M.A.2
  • 49
    • 0036493716 scopus 로고    scopus 로고
    • 'High-resolution 3D human anatomy models for advanced electromagnetic field computations'
    • Gjonaj, E., Bartsch, M., Clemens, M., Schupp, S., and Weiland, T.: 'High-resolution 3D human anatomy models for advanced electromagnetic field computations', IEEE Trans. Magn., 2002, 38, (2), pp. 357-360
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 357-360
    • Gjonaj, E.1    Bartsch, M.2    Clemens, M.3    Schupp, S.4    Weiland, T.5
  • 50
    • 0029909341 scopus 로고    scopus 로고
    • 'The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz'
    • Gabriel, S., Lau, R. W., and Gabriel, C.: 'The dielectric properties of biological tissues: II. measurements in the frequency range 10 Hz to 20 GHz', Phys. Med. Biol., 1996, 41, pp. 2251-2269
    • (1996) Phys. Med. Biol. , vol.41 , pp. 2251-2269
    • Gabriel, S.1    Lau, R.W.2    Gabriel, C.3
  • 51
    • 0035508417 scopus 로고    scopus 로고
    • 'Hybrid integral equation and finite-difference method for low-frequency electric induction'
    • Dawson, T.W., Velamparambil, S., and Stuchly, M.A.: 'Hybrid integral equation and finite-difference method for low-frequency electric induction', Appl. Comput. Electromagn. Soc. J., 2001, 16, (3), pp. 218-227
    • (2001) Appl. Comput. Electromagn. Soc. J. , vol.16 , Issue.3 , pp. 218-227
    • Dawson, T.W.1    Velamparambil, S.2    Stuchly, M.A.3
  • 52
    • 0024703117 scopus 로고
    • 'On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents'
    • Bíró, O., and Preis, K.: 'On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents', IEEE Trans. Magn, 1989, 25, (4), pp. 3145-3159
    • (1989) IEEE Trans. Magn. , vol.25 , Issue.4 , pp. 3145-3159
    • Bíró, O.1    Preis, K.2
  • 53
    • 0025403929 scopus 로고
    • 'Performance of different vector potential formulations in solving multiply connected 3D eddy-current problems'
    • Bíró, O., Preis, K., Renhart, W., Richter, K.R., and Vrisk, G.: 'Performance of different vector potential formulations in solving multiply connected 3D eddy-current problems', IEEE Trans. Magn., 1990, 26, (2), pp. 438-441
    • (1990) IEEE Trans. Magn. , vol.26 , Issue.2 , pp. 438-441
    • Bíró, O.1    Preis, K.2    Renhart, W.3    Richter, K.R.4    Vrisk, G.5
  • 54
    • 0025402656 scopus 로고
    • 'Calculation of transient 3D eddy-current using edge elements'
    • Kameari, A.: 'Calculation of transient 3D eddy-current using edge elements', IEEE Trans. Magn., 1990, 26, (5), pp. 466-469
    • (1990) IEEE Trans. Magn. , vol.26 , Issue.5 , pp. 466-469
    • Kameari, A.1
  • 55
    • 17644403024 scopus 로고    scopus 로고
    • 'Numerical algorithms for the calculation of magnetoquasistatic fields using the finite integration technique'
    • van Rienen, U., Günther, M. and Hecht, D. (Eds.), (Springer Verlag, LNCSE series, Heidelberg)
    • Clemens, M., Drobny, S., Weiland, T., and Wilke, M.: 'Numerical algorithms for the calculation of magnetoquasistatic fields using the finite integration technique', in: van Rienen, U., Günther, M. and Hecht, D. (Eds.), 'Scientific computing in electrical engineering' (Springer Verlag, LNCSE series, Heidelberg, 2001), pp. 63-70
    • (2001) 'Scientific Computing in Electrical Engineering' , pp. 63-70
    • Clemens, M.1    Drobny, S.2    Weiland, T.3    Wilke, M.4
  • 56
    • 0036493654 scopus 로고    scopus 로고
    • 'Numerical analysis of a magnetic recording write-head benchmark problem using the finite integration technique'
    • Clemens, M., Drobny, S., and Weiland, T.: 'Numerical analysis of a magnetic recording write-head benchmark problem using the finite integration technique', IEEE Trans. Magn., 2002, 38, (2), pp. 601-604
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 601-604
    • Clemens, M.1    Drobny, S.2    Weiland, T.3
  • 57
    • 0029307478 scopus 로고
    • 'Various FEM formulations for the calculation of transient 3D eddy currents in nonlinear media'
    • Bíró, O., Preis, K., and Richter, K.R.: 'Various FEM formulations for the calculation of transient 3D eddy currents in nonlinear media', IEEE Trans. Magn., 1995, 31, (3), pp. 1307-1312
    • (1995) IEEE Trans. Magn. , vol.31 , Issue.3 , pp. 1307-1312
    • Bíró, O.1    Preis, K.2    Richter, K.R.3
  • 58
    • 0036709505 scopus 로고    scopus 로고
    • 'Reduced vector potential formulation for FI2TD-schemes'
    • Clemens, M., and Weiland, T.: 'Reduced vector potential formulation for FI2TD-schemes', IEE Proc., Sci. Meas. Technol., 2002, 149, (5), pp. 232-236
    • (2002) IEE Proc., Sci. Meas. Technol. , vol.149 , Issue.5 , pp. 232-236
    • Clemens, M.1    Weiland, T.2
  • 59
    • 0025400091 scopus 로고
    • 'Finite-element analysis of 3D eddy currents'
    • Bíró, O., and Preis, K.: 'Finite-element analysis of 3D eddy currents', IEEE Trans. Magn., 1990, 9, (2), pp. 418-422
    • (1990) IEEE Trans. Magn. , vol.9 , Issue.2 , pp. 418-422
    • Bíró, O.1    Preis, K.2
  • 60
    • 0036493785 scopus 로고    scopus 로고
    • 'Regularization of eddy-current formulations using discrete grad-div operators'
    • Clemens, M., and Weiland, T.: 'Regularization of eddy-current formulations using discrete grad-div operators', IEEE Trans. Magn. 2002, 38, (2), pp. 569-572
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 569-572
    • Clemens, M.1    Weiland, T.2
  • 61
    • 0024070754 scopus 로고
    • 'Integral formulation for 3D eddy-current computation using edge elements'
    • Rubinacci, R., and Albanese, G.: 'Integral formulation for 3D eddy-current computation using edge elements', IEE Proc., 1988, 135, (7), p. 457
    • (1988) IEE Proc. , vol.135 , Issue.7 , pp. 457
    • Rubinacci, R.1    Albanese, G.2
  • 62
    • 0035439612 scopus 로고    scopus 로고
    • 'On the property of the curl-curl matrix in finite-element analysis with edge elements'
    • Igarashi, H.: 'On the property of the curl-curl matrix in finite-element analysis with edge elements', IEEE Trans. Magn., 2001, 37, (5), pp. 1325-1329
    • (2001) IEEE Trans. Magn. , vol.37 , Issue.5 , pp. 1325-1329
    • Igarashi, H.1
  • 63
    • 0036493842 scopus 로고    scopus 로고
    • 'Eigenvalue computation by means of a tree-cotree filtering technique'
    • Munteanu, I., Trapp, B., Schuhmann, R., Weiland, T., and Ioan, D.: 'Eigenvalue computation by means of a tree-cotree filtering technique', IEEE Trans. Magn., 2002, 38, (2), pp. 445-448
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 445-448
    • Munteanu, I.1    Trapp, B.2    Schuhmann, R.3    Weiland, T.4    Ioan, D.5
  • 64
    • 0001420118 scopus 로고
    • 'On the unique numerical solution of maxwellian eigenvalue problems in three dimensions'
    • Weiland, T.: 'On the unique numerical solution of maxwellian eigenvalue problems in three dimensions', Part. Accel., 1985, 17, pp. 227-242
    • (1985) Part. Accel. , vol.17 , pp. 227-242
    • Weiland, T.1
  • 65
    • 0035440544 scopus 로고    scopus 로고
    • ''Stiff' problems in eddy-current theory and the regularisation of Maxwell's equations'
    • Bossavit, A.: ''Stiff' problems in eddy-current theory and the regularisation of Maxwell's equations', IEEE Trans. Magn., 2001, 37, (5), pp. 3542-3545
    • (2001) IEEE Trans. Magn. , vol.37 , Issue.5 , pp. 3542-3545
    • Bossavit, A.1
  • 66
    • 0035341796 scopus 로고    scopus 로고
    • 'Parallel multigrid 3D Maxwell solvers'
    • Haase, G., Kuhn, M., and Langer, U.: 'Parallel multigrid 3D Maxwell solvers', Parallel Comput., 2001, 6, pp. 761-775
    • (2001) Parallel Comput. , vol.6 , pp. 761-775
    • Haase, G.1    Kuhn, M.2    Langer, U.3
  • 67
    • 17644406926 scopus 로고    scopus 로고
    • '3D electromagnetic simulation of a DSPM system using the FI-method'
    • Krawczyk, A. and Wiak, S. (Eds.), (IOS Press)
    • Yuan, J., Clemens, M., De Gersem, H., and Weiland, T.: '3D electromagnetic simulation of a DSPM system using the FI-method', in Krawczyk, A. and Wiak, S. (Eds.), 'Electromagnetic fields in electrical engineering' (IOS Press, 2002), vol. 22, pp. 153-157
    • (2002) 'Electromagnetic Fields in Electrical Engineering' , vol.22 , pp. 153-157
    • Yuan, J.1    Clemens, M.2    De Gersem, H.3    Weiland, T.4
  • 68
    • 0035439762 scopus 로고    scopus 로고
    • 'Fields and circuits in computational electromagnetism'
    • Kettunen, L.: 'Fields and circuits in computational electromagnetism', IEEE Trans. Magn., 2001, 37, (5), pp. 3393-3396
    • (2001) IEEE Trans. Magn. , vol.37 , Issue.5 , pp. 3393-3396
    • Kettunen, L.1
  • 70
    • 17644401593 scopus 로고    scopus 로고
    • 'Field-circuit coupling for time-harmonic models discretised by the finite integration technique'
    • Saratoga Springs, USA
    • De Gersem, H., and Weiland, T.: 'Field-circuit coupling for time-harmonic models discretised by the finite integration technique'. Proc. Compumag 2003, Saratoga Springs, USA, 2003, vol. II
    • (2003) Proc. Compumag. 2003 , vol.2
    • De Gersem, H.1    Weiland, T.2
  • 71
    • 0003967073 scopus 로고
    • 'Hysteresis models in electromagnetic computation'1991)
    • (Akademiai Kiado, Budapest)
    • Ivanyi, A.: 'Hysteresis models in electromagnetic computation'1991), (Akademiai Kiado, Budapest, 1977)
    • (1977)
    • Ivanyi, A.1
  • 72
    • 17644426565 scopus 로고    scopus 로고
    • 'Modern numerical techniques and future developments on soft magnetic material'
    • Presented at Workshop SoftMag 2000, Dearborn MI, USA, May 22-24
    • Hameyer, K.: 'Modern numerical techniques and future developments on soft magnetic material'. Presented at Workshop SoftMag 2000, Dearborn MI, USA, May 22-24, 2000
    • (2000)
    • Hameyer, K.1
  • 73
    • 0004250782 scopus 로고
    • 'Mathematical models of hysteresis'
    • (Springer-Verlag, Berlin)
    • Mayergoyz, I.D.: 'Mathematical models of hysteresis' (Springer-Verlag, Berlin, 1991)
    • (1991)
    • Mayergoyz, I.D.1
  • 74
    • 33747922348 scopus 로고    scopus 로고
    • 'A novel formulation for 3D eddy-current problems with moving bodies using a lagrangian description and BEM-FEM coupling'
    • Kurz, S., Fetzer, J., Lehner, G., and Rucker, W.M.: 'A novel formulation for 3D eddy-current problems with moving bodies using a lagrangian description and BEM-FEM coupling', IEEE Trans. Magn., 1998, 33 (5), pp. 3068-3073
    • (1998) IEEE Trans. Magn. , vol.33 , Issue.5 , pp. 3068-3073
    • Kurz, S.1    Fetzer, J.2    Lehner, G.3    Rucker, W.M.4
  • 75
    • 0031097546 scopus 로고    scopus 로고
    • 'Generalization of 3D eddy-current analysis for moving conductors due to co-ordinate systems and gauge conditions'
    • Yamazaki, K.: 'Generalization of 3D eddy-current analysis for moving conductors due to co-ordinate systems and gauge conditions', IEEE Trans. Magn., 1997, 33, (2), pp. 1259-1262
    • (1997) IEEE Trans. Magn. , vol.33 , Issue.2 , pp. 1259-1262
    • Yamazaki, K.1
  • 76
    • 0033121729 scopus 로고    scopus 로고
    • '3D eddy-current formulation for moving conductors with variable velocitiy of co-ordinate system using finite elements'
    • Yamazaki, K.: '3D eddy-current formulation for moving conductors with variable velocitiy of co-ordinate system using finite elements', IEEE Trans. Magn., 1997, 35, (3), pp. 1594-1597
    • (1997) IEEE Trans. Magn. , vol.35 , Issue.3 , pp. 1594-1597
    • Yamazaki, K.1
  • 77
    • 0022159863 scopus 로고
    • 'The movement in field modelling'
    • Davat, B., Ren, Z., and Lajoie-Mazenc, M.: 'The movement in field modelling', IEEE Trans. Magn., 1985, 21, (6), pp. 2296-2299
    • (1985) IEEE Trans. Magn. , vol.21 , Issue.6 , pp. 2296-2299
    • Davat, B.1    Ren, Z.2    Lajoie-Mazenc, M.3
  • 78
    • 0034217679 scopus 로고    scopus 로고
    • 'Transient eddy-current formulation including moving conductors using the finite integration method'
    • Clemens, M., Weiland, T., and Wilke, M.: 'Transient eddy-current formulation including moving conductors using the finite integration method', IEEE Trans. Magn., 2000, 36, (4), pp. 804-808
    • (2000) IEEE Trans. Magn. , vol.36 , Issue.4 , pp. 804-808
    • Clemens, M.1    Weiland, T.2    Wilke, M.3
  • 79
    • 17644400394 scopus 로고    scopus 로고
    • 'Extrusion, contraction: Their discretisation via Whitney forms'
    • Graz, Austria
    • Bossavit, A.: 'Extrusion, contraction: Their discretisation via Whitney forms'. Proc. IGTE Symp. 2002, Graz, Austria, 2002, pp. 7-11
    • (2002) Proc. IGTE Symp. 2002 , pp. 7-11
    • Bossavit, A.1
  • 80
    • 0003589989 scopus 로고    scopus 로고
    • 'Solving ordinary differential equations II: Stiff and differential-algebraic problems'
    • (Springer-Verlag, Wien, New York)
    • Hairer, E., and Wanner, G.: 'Solving ordinary differential equations II: Stiff and differential-algebraic problems', (Springer-Verlag, Wien, New York, 1996)
    • (1996)
    • Hairer, E.1    Wanner, G.2
  • 82
    • 0032623677 scopus 로고    scopus 로고
    • 'Numerical algorithms for the FDiTD and FDFD simulation of slowly-varying electromagnetic fields'
    • Clemens, M., and Weiland, T.: 'Numerical algorithms for the FDiTD and FDFD simulation of slowly-varying electromagnetic fields', Int. J. Numer. Model, ENDF, 1999, 12, (1/2), pp. 3-22
    • (1999) Int. J. Numer. Model, ENDF , vol.12 , Issue.1-2 , pp. 3-22
    • Clemens, M.1    Weiland, T.2
  • 83
    • 0033720699 scopus 로고    scopus 로고
    • 'Calculation of eddy currents in moving structures using a finite-element method on nonmatching grids'
    • Rapetti, F., Santandrea, L., Bouillaut, F., and Razek, A.: 'Calculation of eddy currents in moving structures using a finite-element method on nonmatching grids', COMPEL, 1999, 19, (1), pp. 10-29
    • (1999) COMPEL , vol.19 , Issue.1 , pp. 10-29
    • Rapetti, F.1    Santandrea, L.2    Bouillaut, F.3    Razek, A.4
  • 84
    • 0001199113 scopus 로고    scopus 로고
    • 'Simulation of a magnetomechanical system through the sliding-mesh mortar-element method'
    • Rapetti, F., Buffa, A., Bouillaut, F., and Maday, Y.: 'Simulation of a magnetomechanical system through the sliding-mesh mortar-element method', COMPEL, 2000, 19, (2), pp. 332-340
    • (2000) COMPEL , vol.19 , Issue.2 , pp. 332-340
    • Rapetti, F.1    Buffa, A.2    Bouillaut, F.3    Maday, Y.4
  • 85
    • 0004003433 scopus 로고
    • 'Numerical solution of initial-value problems in differential-algebraic equations'
    • (SIAM, Philadelphia)
    • Brenan, K.E., Campbell, S.L., and Petzold, L.R.: 'Numerical solution of initial-value problems in differential-algebraic equations' (SIAM, Philadelphia, 1989) vol. 14
    • (1989) , vol.14
    • Brenan, K.E.1    Campbell, S.L.2    Petzold, L.R.3
  • 86
    • 0030144796 scopus 로고    scopus 로고
    • 'Implicit Runge-Kutta methods for transient magnetic field computation'
    • Nicolet, A., and Delincé, F.: 'Implicit Runge-Kutta methods for transient magnetic field computation', IEEE Trans. Magn., 1996, 32, pp. 1405-1408
    • (1996) IEEE Trans. Magn. , vol.32 , pp. 1405-1408
    • Nicolet, A.1    Delincé, F.2
  • 87
    • 0005691320 scopus 로고    scopus 로고
    • 'Low-order Runge-Kutta methods for differential algebraic equations'
    • PhD thesis, Tampere University of Technology
    • Cameron, F.: 'Low-order Runge-Kutta methods for differential algebraic equations', PhD thesis, Tampere University of Technology 1999
    • (1999)
    • Cameron, F.1
  • 88
    • 0036493731 scopus 로고    scopus 로고
    • 2TD with variable time-step size selection schemes'
    • 2TD with variable time-step size selection schemes', IEEE Trans. Magn., 2002, 38, (2), pp. 605-608
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 605-608
    • Clemens, M.1    Wilke, M.2    Weiland, T.3
  • 89
    • 2342624734 scopus 로고    scopus 로고
    • 'Subspace projection extrapolation scheme for transient field simulations'
    • Clemens, M., Wilke, M., Schuhmann, R., and Weiland, T.: 'Subspace projection extrapolation scheme for transient field simulations', IEEE Trans. Magn., 2004, 40, (2), pp. 934-937
    • (2004) IEEE Trans. Magn. , vol.40 , Issue.2 , pp. 934-937
    • Clemens, M.1    Wilke, M.2    Schuhmann, R.3    Weiland, T.4
  • 90
    • 0035440307 scopus 로고    scopus 로고
    • 'An adaptive step-time integration method applied to transient magnetic field problems'
    • Wang, H., Taylor, S., Simkin, J., Biddlecombe, C., and Trowbridge, B.: 'An adaptive step-time integration method applied to transient magnetic field problems', IEEE Trans. Magn., 2001, 37, (5), pp. 3478-3481
    • (2001) IEEE Trans. Magn. , vol.37 , Issue.5 , pp. 3478-3481
    • Wang, H.1    Taylor, S.2    Simkin, J.3    Biddlecombe, C.4    Trowbridge, B.5
  • 92
    • 0029306843 scopus 로고
    • 'A stability paradox for time-stepping schemes in coupled field-circuit problems'
    • Tsukerman, I.: 'A stability paradox for time-stepping schemes in coupled field-circuit problems', IEEE Trans. Magn., 1995, 31, (3), pp. 1857-1860
    • (1995) IEEE Trans. Magn. , vol.31 , Issue.3 , pp. 1857-1860
    • Tsukerman, I.1
  • 93
    • 0038058721 scopus 로고    scopus 로고
    • 'Adaptive multilevel solution of nonlinear parabolic pde systems: Theory, algorithm and application'
    • (Springer-Verlag, Berlin)
    • Lang, J.: 'Adaptive multilevel solution of nonlinear parabolic pde systems: theory, algorithm and application' (Springer-Verlag, Berlin, 2001)
    • (2001)
    • Lang, J.1
  • 94
    • 0038521073 scopus 로고    scopus 로고
    • 'Linear implicit time-integration schemes for error-controlled transient nonlinear magnetic field simulations'
    • Clemens, M., Wilke, M., and Weiland, T.: 'Linear implicit time-integration schemes for error-controlled transient nonlinear magnetic field simulations', IEEE Trans. Magn., 2003, 39, (3), pp. 1175-1178
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1175-1178
    • Clemens, M.1    Wilke, M.2    Weiland, T.3
  • 95
    • 0028737039 scopus 로고
    • 'Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods'
    • Gustafsson, K.: 'Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods', ACM Trans. Math. Softw., 1994, 20, (4), pp. 496-517
    • (1994) ACM Trans. Math. Softw. , vol.20 , Issue.4 , pp. 496-517
    • Gustafsson, K.1
  • 96
    • 0035788008 scopus 로고    scopus 로고
    • 2TD algorithms for transient 3D eddy-current problems'
    • 2TD algorithms for transient 3D eddy-current problems', COMPEL, 2001, 20, (2), pp. 365-379
    • (2001) COMPEL , vol.20 , Issue.2 , pp. 365-379
    • Clemens, M.1    Wilke, M.2    Weiland, T.3
  • 97
    • 0022563559 scopus 로고
    • 'Local error control in SDIRK-methods'
    • Nørsett, S.P., and Thomsen, P.G.: 'Local error control in SDIRK-methods', BIT, 1986, 26, pp. 100-113
    • (1986) BIT , vol.26 , pp. 100-113
    • Nørsett, S.P.1    Thomsen, P.G.2
  • 98
    • 0036493325 scopus 로고    scopus 로고
    • 'An effective method to reduce the computing time of nonlinear time-stepping finite-element magnetic field computation'
    • Fu, W.N., Ho, S.L., Li, H.L., and Wong, H.C.: 'An effective method to reduce the computing time of nonlinear time-stepping finite-element magnetic field computation', IEEE Trans. Magn., 2002, 38, (2), pp. 441-444
    • (2002) IEEE Trans. Magn. , vol.38 , Issue.2 , pp. 441-444
    • Fu, W.N.1    Ho, S.L.2    Li, H.L.3    Wong, H.C.4
  • 99
    • 0002396750 scopus 로고    scopus 로고
    • 'The automatic control of numerical integration'
    • Söderlind, G.: 'The automatic control of numerical integration', CWI Q., 1998, 11, (1), pp. 55-74
    • (1998) CWI Q. , vol.11 , Issue.1 , pp. 55-74
    • Söderlind, G.1
  • 100
    • 0038521070 scopus 로고    scopus 로고
    • 'Extrapolation strategies in transient magnetic field simulations'
    • Clemens, M., Wilke, M., and Weiland, T.: 'Extrapolation strategies in transient magnetic field simulations', IEEE Trans. Magn., 2003, 39, (3), pp. 1171-1174
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1171-1174
    • Clemens, M.1    Wilke, M.2    Weiland, T.3
  • 102
    • 0042951640 scopus 로고    scopus 로고
    • 'Numerik linearer gleichungssysteme'
    • (Vieweg-Verlag, Braunschweig, Wiesbaden)
    • Meister, A.: 'Numerik linearer gleichungssysteme' (Vieweg-Verlag, Braunschweig, Wiesbaden, 1999)
    • (1999)
    • Meister, A.1
  • 103
    • 0034832731 scopus 로고    scopus 로고
    • 'A deflated iterative solver for magnetostatic finite-element models with large differences in permeability'
    • De Gersem, H., and Hameyer, K.: 'A deflated iterative solver for magnetostatic finite-element models with large differences in permeability', Eur. Phys. J. Appl. Phys., 2001, 13, pp. 45-49
    • (2001) Eur. Phys. J. Appl. Phys. , vol.13 , pp. 45-49
    • De Gersem, H.1    Hameyer, K.2
  • 104
    • 0033678178 scopus 로고    scopus 로고
    • 'A deflated version of the conjugate gradient algorithm'
    • Saad, Y., Yeung, M., Erhel, J., and Guyomarch, F.: 'A deflated version of the conjugate gradient algorithm', SIAM J. Sci. Comput., 2000, 21, (5), pp. 1909-1926
    • (2000) SIAM J. Sci. Comput. , vol.21 , Issue.5 , pp. 1909-1926
    • Saad, Y.1    Yeung, M.2    Erhel, J.3    Guyomarch, F.4
  • 105
    • 84894021661 scopus 로고
    • 'Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media'
    • Yee, K.S.: 'Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media', IEEE Trans. Antenna Propag., AP-14, 1966, pp. 302-307
    • (1966) IEEE Trans. Antenna Propag., AP-14 , pp. 302-307
    • Yee, K.S.1
  • 106
    • 0000683208 scopus 로고    scopus 로고
    • 'Numerical stability of finite-difference time-domain methods'
    • Thoma, P., and Weiland, T.: 'Numerical stability of finite-difference time-domain methods', IEEE Trans. Magn., 1998, 34, (5), pp. 2740-2743
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 2740-2743
    • Thoma, P.1    Weiland, T.2
  • 107
    • 28044459877 scopus 로고
    • 'A perfectly matched layer for the absorption of electromagnetic waves'
    • Berenger, J.P.: 'A perfectly matched layer for the absorption of electromagnetic waves', J. Comput. Phys., 1994, 114, pp. 185-200
    • (1994) J. Comput. Phys. , vol.114 , pp. 185-200
    • Berenger, J.P.1
  • 108
    • 0032672917 scopus 로고    scopus 로고
    • 'Differential forms, metrics, and the reflectionless absorption of electromagnetic waves'
    • Teixeira, F.L., and Chew, W.C.: 'Differential forms, metrics, and the reflectionless absorption of electromagnetic waves', J. Electromagn. Waves Appl., 1999, 13, pp. 665-686
    • (1999) J. Electromagn. Waves Appl. , vol.13 , pp. 665-686
    • Teixeira, F.L.1    Chew, W.C.2
  • 109
    • 0031095339 scopus 로고    scopus 로고
    • 'Adaptive time-stepping in nonlinear transient electromagnetic finite element analysis'
    • Brauer, J.R., Lee, S.H., and Chen, Q.M.: 'Adaptive time-stepping in nonlinear transient electromagnetic finite element analysis', IEEE Trans. Magn., 1997, 33, (2), pp. 1784-1787
    • (1997) IEEE Trans. Magn. , vol.33 , Issue.2 , pp. 1784-1787
    • Brauer, J.R.1    Lee, S.H.2    Chen, Q.M.3
  • 110
    • 4043087519 scopus 로고    scopus 로고
    • 'Zur numerischen berechnung zeitlich langsamveränderlicher elektromagnetischer felder mit der finiten-integrations-methode'
    • PhD Thesis, Technische Universität Darmstadt
    • Clemens, M.: 'Zur numerischen berechnung zeitlich langsamveränderlicher elektromagnetischer felder mit der finiten-integrations-methode'. PhD Thesis, Technische Universität Darmstadt, 1998
    • (1998)
    • Clemens, M.1
  • 111
    • 0031102236 scopus 로고    scopus 로고
    • 'Frequency-domain vs. time domain finite-element methods for calculation of fields in multimode cavities'
    • Dibben, D.C., and Metaxas, R.: 'Frequency-domain vs. time domain finite-element methods for calculation of fields in multimode cavities', IEEE Trans. Magn., 1997, 33, (2), pp. 1468-1471
    • (1997) IEEE Trans. Magn. , vol.33 , Issue.2 , pp. 1468-1471
    • Dibben, D.C.1    Metaxas, R.2
  • 112
    • 0000281504 scopus 로고
    • 'Simultaneous iteration method for symmetric matrices'
    • Rutishauser, H.: 'Simultaneous iteration method for symmetric matrices', Numer. Math., 1970, 16, pp. 205-223
    • (1970) Numer. Math. , vol.16 , pp. 205-223
    • Rutishauser, H.1
  • 113
    • 0026824246 scopus 로고
    • '2D and 3D computations of eigenvalue problems'
    • Schmitt, D., and Weiland, T.: '2D and 3D computations of eigenvalue problems', IEEE Trans. Magn., 1992, 28, (4), pp. 1793-1796
    • (1992) IEEE Trans. Magn. , vol.28 , Issue.4 , pp. 1793-1796
    • Schmitt, D.1    Weiland, T.2
  • 114
    • 0003521777 scopus 로고
    • 'Numerical methods for large eigenvalue problems'
    • (Manchester University Press, Manchester)
    • Saad, Y.: 'Numerical methods for large eigenvalue problems' (Manchester University Press, Manchester, 1992)
    • (1992)
    • Saad, Y.1
  • 116
    • 0034207349 scopus 로고    scopus 로고
    • 'A Jacobi-Davidson iteration method for linear eigenvalue problems'
    • Sleijpen, G.L.G., and van der Vorst, H.A.: 'A Jacobi-Davidson iteration method for linear eigenvalue problems', SIAM Rev., 2000, 42, (2), pp. 267-293
    • (2000) SIAM Rev. , vol.42 , Issue.2 , pp. 267-293
    • Sleijpen, G.L.G.1    van der Vorst, H.A.2
  • 117
    • 0000322706 scopus 로고
    • 'Implicit application of polynomial filters in k-step Arnoldi method'
    • Sorensen, D.: 'Implicit application of polynomial filters in k step Arnoldi method', SIAM J. Matrix Anal. Appl., 1992, 13 pp. 357-385
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 357-385
    • Sorensen, D.1
  • 118
    • 0033472157 scopus 로고    scopus 로고
    • 'A comparison of solvers for large eigenvalue problems occuring in the design of resonant cavities'
    • Arbenz, P., and Geus, R.: 'A comparison of solvers for large eigenvalue problems occuring in the design of resonant cavities', Lin. Alg. Appl., 1999, 6, (1), pp. 3-16
    • (1999) Lin. Alg. Appl. , vol.6 , Issue.1 , pp. 3-16
    • Arbenz, P.1    Geus, R.2
  • 120
    • 0002318897 scopus 로고
    • 'On the theory of ferromagnetic resonance'
    • Polder, D.: 'On the theory of ferromagnetic resonance', Phil. Mag. 1949, 40, pp. 99-115
    • (1949) Phil. Mag. , vol.40 , pp. 99-115
    • Polder, D.1
  • 122
    • 72849111087 scopus 로고    scopus 로고
    • 'Preconditioned Jacobi-Davidson algorithm for nonsymmetric, complex eigenvalue problems arising with gyrotropic materials in resonators'
    • La Villette Paris, France
    • Feigh, S., Clemens, M., Schuhmann, R., and Weiland, T.: 'Preconditioned Jacobi-Davidson algorithm for nonsymmetric, complex eigenvalue problems arising with gyrotropic materials in resonators'. Proc. 8th European Particle Accelerator Conf. (EPAC2002), La Villette Paris, France, 2002, pp. 1625-1627
    • (2002) Proc. 8th European Particle Accelerator Conf. (EPAC2002) , pp. 1625-1627
    • Feigh, S.1    Clemens, M.2    Schuhmann, R.3    Weiland, T.4
  • 123
    • 2342472138 scopus 로고    scopus 로고
    • 'Eigenmode simulation of electromagnetic resonator cavities with gyrotropic materials'
    • Feigh, S., Clemens, M., and Weiland, T.: 'Eigenmode simulation of electromagnetic resonator cavities with gyrotropic materials', IEEE Trans. Magn., 2004, 40, (2), pp. 647-650
    • (2004) IEEE Trans. Magn. , vol.40 , Issue.2 , pp. 647-650
    • Feigh, S.1    Clemens, M.2    Weiland, T.3
  • 124
    • 0026822651 scopus 로고
    • '3D eddy-current computation in the frequency domain regarding the displacement current'
    • Hahne, P., and Weiland, T.: '3D eddy-current computation in the frequency domain regarding the displacement current', IEEE Trans. Magn., 1992, 28, (2), pp. 1801-1804
    • (1992) IEEE Trans. Magn. , vol.28 , Issue.2 , pp. 1801-1804
    • Hahne, P.1    Weiland, T.2
  • 125
    • 0029779466 scopus 로고    scopus 로고
    • 'Modern Krylov subspace methods in electromagnetic field computation using the finite integration theory'
    • Clemens, M., Schuhmann, R., van Rienen, U., and Weiland, T.: 'Modern Krylov subspace methods in electromagnetic field computation using the finite integration theory', ACES, 1996, 11, (1), pp. 70-84
    • (1996) ACES , vol.11 , Issue.1 , pp. 70-84
    • Clemens, M.1    Schuhmann, R.2    van Rienen, U.3    Weiland, T.4
  • 126
    • 0029755153 scopus 로고    scopus 로고
    • 'A joint vector and scalar potential formulation for driven high-frequency problems using hybrid edge and nodal finite elements'
    • Dyczij-Edlinger, R., and Bíró, O.: 'A joint vector and scalar potential formulation for driven high-frequency problems using hybrid edge and nodal finite elements', IEEE Trans. Microw. Theory Tech., 1996, 44, (1), pp. 15-23
    • (1996) IEEE Trans. Microw. Theory Tech. , vol.44 , Issue.1 , pp. 15-23
    • Dyczij-Edlinger, R.1    B́iró, O.2
  • 127
    • 0034221439 scopus 로고    scopus 로고
    • 'Numerical calculation of nonlinear transient field problems with the Newton-Raphson method'
    • Drobny, S., and Weiland, T.: 'Numerical calculation of nonlinear transient field problems with the Newton-Raphson method', IEEE Trans. Magn., 2000, 36, (4), pp. 809-812
    • (2000) IEEE Trans. Magn. , vol.36 , Issue.4 , pp. 809-812
    • Drobny, S.1    Weiland, T.2
  • 128
    • 17644407245 scopus 로고    scopus 로고
    • 'A numerical optimisation method for obtaining technically smooth magnetisation characteristics'
    • Linz
    • Sande, H.V., Pahner, U., De Gersem, H., Hameyer, K., and Froyen, L.: 'A numerical optimisation method for obtaining technically smooth magnetisation characteristics'. Proc. ISTET Conf. 2001, Linz, 2001
    • (2001) Proc. ISTET Conf. 2001
    • Sande, H.V.1    Pahner, U.2    De Gersem, H.3    Hameyer, K.4    Froyen, L.5
  • 129
    • 4043127273 scopus 로고    scopus 로고
    • 'Time integration of slowly varying electromagnetic field problems using the finite integration technique'
    • H.G. Bock., et al., (ed.): (Heidelberg, World Scient)
    • Clemens, M., Drobny, S., and Weiland, T.: 'Time integration of slowly varying electromagnetic field problems using the finite integration technique', in: H.G. Bock., et al., (ed.): 'Proc. ENUMATH 97' (Heidelberg, World Scient, 1999), pp. 246-253
    • (1999) 'Proc. ENUMATH 97' , pp. 246-253
    • Clemens, M.1    Drobny, S.2    Weiland, T.3
  • 130
    • 0012542326 scopus 로고    scopus 로고
    • 'Dual nonlinear magnetostatic formulations using the finite integration technique
    • Milwaukee
    • Drobny, S., Clemens, M., and Weiland, T.: 'Dual nonlinear magnetostatic formulations using the finite integration technique'. Proc. CEFC Conf. 2000, Milwaukee, 2000, p. 392
    • (2000) Proc. CEFC Conf. 2000 , pp. 392
    • Drobny, S.1    Clemens, M.2    Weiland, T.3
  • 131
    • 0037506925 scopus 로고    scopus 로고
    • 'Nonlinear update scheme for partially filled cells'
    • Schauer, M., Hammes, P., Thoma, P., and Weiland, T.: 'Nonlinear update scheme for partially filled cells', IEEE Trans. Magn., 2003, 39 (3), pp. 1421-1423
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1421-1423
    • Schauer, M.1    Hammes, P.2    Thoma, P.3    Weiland, T.4
  • 132
    • 0000166236 scopus 로고
    • 'A method of solving stationary magnetic field in nonlinear media'
    • Hántilá, F.I.: 'A method of solving stationary magnetic field in nonlinear media', Rev. Roum. Sci. Tech. Ser. Electrotechn. Énerg. 1975, 20, (3), pp. 397-407
    • (1975) Rev. Roum. Sci. Tech. Ser. Electrotechn. Énerg. , vol.20 , Issue.3 , pp. 397-407
    • Hántilá, F.I.1
  • 134
    • 0029403777 scopus 로고
    • 'A hysteresis periodic magnetic field solution using the Preisach model and fixed-point technique'
    • Bottauscio, O., Chiarabaglio, D., Chiampi, M., and Repetto, M.: 'A hysteresis periodic magnetic field solution using the Preisach model and fixed-point technique', IEEE Trans. Magn., 1995, 32, pp. 3548-3550
    • (1995) IEEE Trans. Magn. , vol.32 , pp. 3548-3550
    • Bottauscio, O.1    Chiarabaglio, D.2    Chiampi, M.3    Repetto, M.4
  • 136
    • 0035788011 scopus 로고    scopus 로고
    • 'Nonlinear electromagnetic field computation with FIT and triangle search method'
    • Munteanu, I., Drobny, S., Weiland, T., and Ioan, D.: 'Nonlinear electromagnetic field computation with FIT and triangle search method', COMPEL, 2001, 20, (2), pp. 417-430
    • (2001) COMPEL , vol.20 , Issue.2 , pp. 417-430
    • Munteanu, I.1    Drobny, S.2    Weiland, T.3    Ioan, D.4
  • 137
    • 0003602606 scopus 로고
    • 'Iterative solution of nonlinear equations in several variables'
    • (Academic Press, New York)
    • Ortega, J.M., and Rheinboldt, W.C.: 'Iterative solution of nonlinear equations in several variables' (Academic Press, New York, 1970)
    • (1970)
    • Ortega, J.M.1    Rheinboldt, W.C.2
  • 138
    • 17644381504 scopus 로고    scopus 로고
    • 'Accelerating nonlinear time-harmonic problems by a hybrid Picard-Newton approach'
    • Graz, Austria
    • Sande, H.V., Boonen, T., De Gersem, H., Henrotte, F., and Hameyer, K.: 'Accelerating nonlinear time-harmonic problems by a hybrid Picard-Newton approach', Proc. IGTE 2002 Symp., Graz, Austria, 2002
    • (2002) Proc. IGTE 2002 Symp.
    • Sande, H.V.1    Boonen, T.2    De Gersem, H.3    Henrotte, F.4    Hameyer, K.5
  • 139
    • 0004041275 scopus 로고    scopus 로고
    • 'Numerical methods for unconstrained optimisation and nonlinear equations'
    • (SIAM, Philadelphia)
    • Dennis, J.E., and Schnabel, R.B.: 'Numerical methods for unconstrained optimisation and nonlinear equations' (SIAM, Philadelphia, 1996), vol. 16
    • (1996) , vol.16
    • Dennis, J.E.1    Schnabel, R.B.2
  • 140
    • 0004155392 scopus 로고
    • 'Iterative methods for linear and nonlinear equations'
    • (SIAM, Philadelphia)
    • Kelley, C.T.: 'Iterative methods for linear and nonlinear equations' (SIAM, Philadelphia, 1995)
    • (1995)
    • Kelley, C.T.1
  • 141
    • 0003554096 scopus 로고    scopus 로고
    • 'Iterative methods for sparse linear systems'
    • (PWS Publishing, Boston)
    • Saad, Y.: 'Iterative methods for sparse linear systems' (PWS Publishing, Boston, 1996)
    • (1996)
    • Saad, Y.1
  • 142
    • 0001027363 scopus 로고
    • 'Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices'
    • Freund, R.W.: 'Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices', SIAM J. Sci. Stat. Comp., 1992, 13, (1), pp. 425-448
    • (1992) SIAM J. Sci. Stat. Comp. , vol.13 , Issue.1 , pp. 425-448
    • Freund, R.W.1
  • 143
    • 33747911268 scopus 로고    scopus 로고
    • 'Comparison of Krylov-type methods for complex linear systems applied to high-voltage problems'
    • Clemens, M., van Rienen, U., and Weiland, T.: 'Comparison of Krylov-type methods for complex linear systems applied to high-voltage problems', IEEE Trans. Magn., 1998, 34, (5), pp. 3335-3338
    • (1998) IEEE Trans. Magn. , vol.34 , Issue.5 , pp. 3335-3338
    • Clemens, M.1    van Rienen, U.2    Weiland, T.3
  • 145
    • 0025403650 scopus 로고
    • 'Use of a multigrid solver in the MAFIA module S3 for electro- and magnetostatic problems'
    • Krawczyk, F., Steffen, B., and Weiland, T.: 'Use of a multigrid solver in the MAFIA module S3 for electro- and magnetostatic problems', IEEE Trans. Magn., 1990, 26, (2), pp. 747-751
    • (1990) IEEE Trans. Magn. , vol.26 , Issue.2 , pp. 747-751
    • Krawczyk, F.1    Steffen, B.2    Weiland, T.3
  • 146
    • 17644417372 scopus 로고    scopus 로고
    • 'Multigrid solvers for Poisson's equation in computational electromagnetics'
    • van Rienen, M.G.U. and Hecht, D. (Eds.) (LNSCE, Springer-Verlag)
    • Pöplau, G., and van Rienen, U.: 'Multigrid solvers for Poisson's equation in computational electromagnetics', in: van Rienen, M.G.U. and Hecht, D. (Eds.) 'Proc. SCEE Conf 2000' (LNSCE, Springer-Verlag, 2001), pp. 169-176
    • (2001) 'Proc. SCEE Conf. 2000' , pp. 169-176
    • Pöplau, G.1    van Rienen, U.2
  • 147
    • 0001885411 scopus 로고    scopus 로고
    • 'Algebraic multigrid'
    • Cormick, S.M. (ed.): (SIAM, PA)
    • Ruge, J., and Stueben, K.: 'Algebraic multigrid', in: Cormick, S.M. (ed.): 'Multigrid methods' (SIAM, PA, 2001), pp. 73-130
    • (2001) 'Multigrid Methods' , pp. 73-130
    • Ruge, J.1    Stueben, K.2
  • 149
    • 0142055288 scopus 로고    scopus 로고
    • 'An algebraic multigrid method for finite-element discretisations with edge elements'
    • Reitzinger, S., and Schöberl, J.: 'An algebraic multigrid method for finite-element discretisations with edge elements', Numer. Lin. Algetr. Appl., 2002, 9, pp. 223-238
    • (2002) Numer. Lin. Algetr. Appl. , vol.9 , pp. 223-238
    • Reitzinger, S.1    Schöberl, J.2
  • 150
    • 2342501948 scopus 로고    scopus 로고
    • 'Geometric multigrid algorithms using the conformal finite integration technique'
    • Clemens, M., Feigh, S., and Weiland, T.: 'Geometric multigrid algorithms using the conformal finite integration technique', IEEE Trans. Magn. 2004, 40, (2), pp. 1065-1068
    • (2004) IEEE Trans. Magn. , vol.40 , Issue.2 , pp. 1065-1068
    • Clemens, M.1    Feigh, S.2    Weiland, T.3
  • 151
    • 9144244350 scopus 로고    scopus 로고
    • 'Non-nested geometric multigrid method using consistency error correction for discrete magnetic curl-curl formulations'
    • Proc. EMF Conf. 2003. Aachen, Germany, 06-09 October 2003
    • Clemens, M., Feigh, S., Wilke, M., and Weiland, T.: 'Non-nested geometric multigrid method using consistency error correction for discrete magnetic curl-curl formulations'. Proc. EMF Conf. 2003., Aachen, Germany, 06-09 October 2003, in COMPEL, 2004, 23, (4), pp. 913-922
    • (2004) COMPEL , vol.23 , Issue.4 , pp. 913-922
    • Clemens, M.1    Feigh, S.2    Wilke, M.3    Weiland, T.4
  • 152
    • 0000669478 scopus 로고    scopus 로고
    • 'Adaptive multilevel methods for edge-element discretisations of Maxwell's equations'
    • Beck, R., Deuflhard, P., Hiptmair, R., Hoppe, R.H.W., and Wohlmuth, B.: 'Adaptive multilevel methods for edge-element discretisations of Maxwell's equations', Surv. Math. Ind., 1999, 8, pp. 271-312
    • (1999) Surv. Math. Ind. , vol.8 , pp. 271-312
    • Beck, R.1    Deuflhard, P.2    Hiptmair, R.3    Hoppe, R.H.W.4    Wohlmuth, B.5
  • 153
    • 0000626839 scopus 로고    scopus 로고
    • 'Multigrid method for Maxwell's equations'
    • Hiptmair, R.: 'Multigrid method for Maxwell's equations', SIAM Numer. Anal., 1999, 36, (1), pp. 204-225
    • (1999) SIAM Numer. Anal. , vol.36 , Issue.1 , pp. 204-225
    • Hiptmair, R.1
  • 154
    • 17644380512 scopus 로고    scopus 로고
    • 'Construction principles of multigrid smoothers for curl-curl equations'
    • Seoul, Korea, (June)
    • Clemens, M., Feigh, S., and Weiland, T.: 'Construction principles of multigrid smoothers for curl-curl equations'. Proc. CEFC 2004., Seoul, Korea, (June 2004)
    • (2004) Proc. CEFC 2004
    • Clemens, M.1    Feigh, S.2    Weiland, T.3
  • 155
    • 0034386185 scopus 로고    scopus 로고
    • 'Multigrid in h(div) and h(curl)'
    • Arnold, D., Falk, R., and Winther, R.: 'Multigrid in h(div) and h(curl)', Numer. Math., 2000, 85, pp. 197-218
    • (2000) Numer. Math. , vol.85 , pp. 197-218
    • Arnold, D.1    Falk, R.2    Winther, R.3
  • 156
    • 9144251253 scopus 로고    scopus 로고
    • 'Multigrid for transient 3D eddy-current analysis'
    • Graz, Austria
    • Weiß, B., and Bíró, O.: 'Multigrid for transient 3D eddy-current analysis'. Proc. IGTE 2002 Symp., Graz, Austria, 2002, pp. 413-417
    • (2002) Proc. IGTE 2002 Symp. , pp. 413-417
    • Weiß, B.1    Bíró, O.2
  • 157
    • 0037005518 scopus 로고    scopus 로고
    • 'Nested multigrid vector and scalar potential finite-element method for fast computation of two-dimensional electromagnetic scattering'
    • Zhu, Y., and Cangellaris, A.C.: 'Nested multigrid vector and scalar potential finite-element method for fast computation of two-dimensional electromagnetic scattering', IEEE Trans. Antenna Propag., 2002, 50, (12), pp. 1850-1858
    • (2002) IEEE Trans. Antenna Propag. , vol.50 , Issue.12 , pp. 1850-1858
    • Zhu, Y.1    Cangellaris, A.C.2
  • 158
    • 0028751575 scopus 로고
    • 'Uniform convergenceof multigrid v-cycle iterations for indefinite and nonsymmetric problems'
    • Bramble, J., Kwak, D., and Pasciak, J.: 'Uniform convergenceof multigrid v-cycle iterations for indefinite and nonsymmetric problems', SIAM. J. Numer. Anal., 1994, 31, pp. 1746-1763
    • (1994) SIAM. J. Numer. Anal. , vol.31 , pp. 1746-1763
    • Bramble, J.1    Kwak, D.2    Pasciak, J.3
  • 159
    • 0000382130 scopus 로고    scopus 로고
    • 'Minimum residual methods for augmented systems'
    • Fischer, B. Ramage, A. Silvester, D. and Wathen, A.: 'Minimum residual methods for augmented systems', BIT, 1998, 38, (3), pp. 527-543
    • (1998) BIT , vol.38 , Issue.3 , pp. 527-543
    • Fischer, B.1    Ramage, A.2    Silvester, D.3    Wathen, A.4
  • 160
    • 0003045062 scopus 로고
    • 'Results for a hollow sphere in a uniform field (benchmark problem 11)'
    • Emson, C.R.I.: 'Results for a hollow sphere in a uniform field (benchmark problem 11)', COMPEL, 1988, 7, (1&2), pp. 191-203
    • (1988) COMPEL , vol.7 , Issue.1-2 , pp. 191-203
    • Emson, C.R.I.1
  • 161
    • 0034221407 scopus 로고    scopus 로고
    • '2D and 3D numerical field computation of eddy-current brakes for traction'
    • Hofmann, M., Werle, T., Pfeiffer, R., and Binder, A.: '2D and 3D numerical field computation of eddy-current brakes for traction', IEEE Trans. Magn., 2000, 36, (4), pp. 1758-1763
    • (2000) IEEE Trans. Magn. , vol.36 , Issue.4 , pp. 1758-1763
    • Hofmann, M.1    Werle, T.2    Pfeiffer, R.3    Binder, A.4
  • 162
    • 0022124915 scopus 로고
    • 'Principles, development and design of the linear eddy-current brake'
    • Kröger, U.: 'Principles, development and design of the linear eddy-current brake', ZEV+DET Glasers. Ann. Eisenb.tech., 1985, 109, pp. 368-374
    • (1985) ZEV+DET Glasers. Ann. Eisenb.Tech. , vol.109 , pp. 368-374
    • Kröger, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.