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Volumn 32, Issue , 2001, Pages 45-64

'Generalized finite differences' in computational electromagnetics

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTING CODES; GENERALIZED FINITE DIFFERENCE; GEOMETRICAL APPROACHES; MAXWELL'S EQUATIONS; METRIC INFORMATION; METRIC-FREE; WHITNEY;

EID: 77954848699     PISSN: 10704698     EISSN: 15598985     Source Type: Journal    
DOI: 10.2528/PIER00080102     Document Type: Article
Times cited : (69)

References (22)
  • 2
    • 0032628755 scopus 로고    scopus 로고
    • Yee-like schemes on a tetrahedral mesh, with diagonal lumping
    • Bossavit, A. and L. Kettunen, "Yee-like schemes on a tetrahedral mesh, with diagonal lumping," Int. J. Numer. Modelling, Vol. 12, 129-142, 1999.
    • (1999) Int. J. Numer. Modelling , vol.12 , pp. 129-142
    • Bossavit, A.1    Kettunen, L.2
  • 3
    • 15044347272 scopus 로고    scopus 로고
    • Computational electromagnetism and geometry. (5): The 'Galerkin hodge'
    • Bossavit, A., "Computational electromagnetism and geometry. (5): The 'Galerkin hodge'," J. Japan Soc. Appl. Electromagn. & Mech., 8, Vol. 2, 203-209, 2000.
    • (2000) J. Japan Soc. Appl. Electromagn. & Mech , vol.2 , Issue.8 , pp. 203-209
    • Bossavit, A.1
  • 4
    • 84887493062 scopus 로고    scopus 로고
    • On the notion of anisotropy of constitutive laws: Some implications of the 'Hodge implies metric' result
    • to appear
    • Bossavit, A., "On the notion of anisotropy of constitutive laws: Some implications of the 'Hodge implies metric' result," COMPEL, to appear.
    • COMPEL
    • Bossavit, A.1
  • 5
    • 0012547082 scopus 로고
    • The geometry of linear heat conduction
    • W. Schneider, H. Troger, and F. Ziegler (Eds.), Longman, Harlow
    • Di Carlo, A. and A. Tiero, "The geometry of linear heat conduction," Trends in Applications of Mathematics to Mechanics, W. Schneider, H. Troger, and F. Ziegler (Eds.), 281-287, Longman, Harlow, 1991.
    • (1991) Trends In Applications of Mathematics to Mechanics , pp. 281-287
    • Di Carlo, A.1    Tiero, A.2
  • 6
    • 29844446368 scopus 로고
    • The fundamental equations of electromag-netism, independent of metrical geometry
    • Van Dantzig, D., "The fundamental equations of electromag-netism, independent of metrical geometry," Proc. Cambridge Phil. Soc., Vol. 30, 421-427, 1934.
    • (1934) Proc. Cambridge Phil. Soc , vol.30 , pp. 421-427
    • van Dantzig, D.1
  • 7
    • 0001777623 scopus 로고
    • Finite-difference approach to the Hodge theory of harmonic forms
    • Dodziuk, J., "Finite-difference approach to the Hodge theory of harmonic forms," Amer. J. Math., Vol. 98, No. 1, 79-104, 1976.
    • (1976) Amer. J. Math , vol.98 , Issue.1 , pp. 79-104
    • Dodziuk, J.1
  • 9
    • 0031071242 scopus 로고    scopus 로고
    • Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
    • Hyman, J. M. and M. Shashkov, "Natural discretizations for the divergence, gradient, and curl on logically rectangular grids," Computers Math. Applic., Vol. 33, No. 4, 81-104, 1997.
    • (1997) Computers Math. Applic , vol.33 , Issue.4 , pp. 81-104
    • Hyman, J.M.1    Shashkov, M.2
  • 10
    • 0029309074 scopus 로고
    • Whitney elements time domain (WETD) methods
    • Lee, J.-F. and Z. Sacks, "Whitney elements time domain (WETD) methods," IEEE Trans. Magn., Vol. 31, No. 3, 1325-1329, 1995.
    • (1995) IEEE Trans. Magn , vol.31 , Issue.3 , pp. 1325-1329
    • Lee, J.-F.1    Sacks, Z.2
  • 11
    • 0001766634 scopus 로고
    • On reciprocal figures and diagrams of forces
    • Maxwell, J. C., "On reciprocal figures and diagrams of forces," Phil. Mag., Series 4, Vol. 27, 250-261, 1864.
    • (1864) Phil. Mag., Series 4 , vol.27 , pp. 250-261
    • Maxwell, J.C.1
  • 12
    • 0011546533 scopus 로고
    • Analytic torsion and R-torsion of Riemannian manifolds
    • Müller, W., "Analytic torsion and R-torsion of Riemannian manifolds," Advances in Mathematics, Vol. 28, 233-305, 1978.
    • (1978) Advances In Mathematics , vol.28 , pp. 233-305
    • Müller, W.1
  • 13
    • 0032361315 scopus 로고    scopus 로고
    • Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions
    • Nicolaides, R. and D.-Q. Wang, "Convergence analysis of a covolume scheme for Maxwell's equations in three dimensions," Math. Comp., Vol. 67, 947-963, 1998.
    • (1998) Math. Comp , vol.67 , pp. 947-963
    • Nicolaides, R.1    Wang, D.-Q.2
  • 14
    • 33750414656 scopus 로고
    • The constitutive map and some of its ramifications
    • Post, E. J., "The constitutive map and some of its ramifications," Annals of Physics, Vol. 71, 497-518, 1972.
    • (1972) Annals of Physics , vol.71 , pp. 497-518
    • Post, E.J.1
  • 15
    • 0014848163 scopus 로고
    • Finite element solution of saturable magnetic field problems
    • Silvester, P. and M. V. K. Chari, "Finite element solution of saturable magnetic field problems," IEEE Trans., PAS-89, Vol. 7, 1642-1651, 1970.
    • (1970) IEEE Trans., PAS-89 , vol.7 , pp. 1642-1651
    • Silvester, P.1    Chari, M.V.K.2
  • 17
    • 0033481261 scopus 로고    scopus 로고
    • Lattice electromagnetic theory from a topological viewpoint
    • Teixeira, F. L. and W. C. Chew, "Lattice electromagnetic theory from a topological viewpoint," J. Math. Phys., Vol. 40, No. 1, 169-187, 1999.
    • (1999) J. Math. Phys , vol.40 , Issue.1 , pp. 169-187
    • Teixeira, F.L.1    Chew, W.C.2
  • 18
    • 0010544155 scopus 로고    scopus 로고
    • Algebraic topology and computational electromag-netism
    • A.I.M., Marseilles
    • Tonti, E., "Algebraic topology and computational electromag-netism," 4th Int. Workshop on Electric and Magnetic Fields, 284-294, A.I.M., Marseilles, 1998.
    • (1998) 4th Int. Workshop On Electric and Magnetic Fields , pp. 284-294
    • Tonti, E.1
  • 19
    • 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. Modelling, Vol. 9, 295-319, 1996.
    • (1996) Int. J. Numer. Modelling , vol.9 , pp. 295-319
    • Weiland, T.1
  • 22
    • 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. Ant. & Prop., Vol. 14, No. 3, 302-307, 1966.
    • (1966) IEEE Trans. Ant. & Prop , vol.14 , Issue.3 , pp. 302-307
    • Yee, K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.