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Volumn 64, Issue 1, 2003, Pages 170-195

Homogenization of the Maxwell equations at fixed frequency

Author keywords

Corrector results; Effective properties; Heterogeneous materials; Homogenization; Maxwell equations; Periodic microstructure; Two scale convergence

Indexed keywords

BOUNDARY CONDITIONS; CONFORMAL MAPPING; ELECTRIC FIELDS; FOURIER TRANSFORMS; FUNCTIONS; INTEGRATION; MAGNETIC FIELDS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PERMITTIVITY; PROBLEM SOLVING; THEOREM PROVING;

EID: 1842458239     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139902403366     Document Type: Article
Times cited : (96)

References (28)
  • 1
    • 0004245694 scopus 로고
    • M. Abramowitz and I. A. Stegun, Eds.; Applied Mathematics Series 55, National Bureau of Standards, Washington, DC
    • M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions, Applied Mathematics Series 55, National Bureau of Standards, Washington, DC, 1970.
    • (1970) Handbook of Mathematical Functions
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. Allaire, Homogenization and two-scale convergence, SIAM J. Math. Anal., 23 (1992), pp. 1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 3
    • 21144478332 scopus 로고
    • Homogenization of degenerate wave equations with periodic coefficients
    • Y. Amirat, K. Hamdache, and A. Ziani, Homogenization of degenerate wave equations with periodic coefficients, SIAM J. Math. Anal., 24 (1993), pp. 1226-1253.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 1226-1253
    • Amirat, Y.1    Hamdache, K.2    Ziani, A.3
  • 4
    • 0039193284 scopus 로고
    • Homogenization and electromagnetic wave propagation in composite media with high conductivity inclusions
    • G. Dal Maso and G. Dell' Antonio, eds., World Scientific, Singapore
    • M. Artola, Homogenization and electromagnetic wave propagation in composite media with high conductivity inclusions, in Proceedings of the Second Workshop on Composite Media and Homogenization Theory, G. Dal Maso and G. Dell' Antonio, eds., World Scientific, Singapore, 1995, pp. 1-5.
    • (1995) Proceedings of the Second Workshop on Composite Media and Homogenization Theory , pp. 1-15
    • Artola, M.1
  • 7
    • 0029462334 scopus 로고
    • On the homogenization of maxwell equations
    • A. Bossavit, On the homogenization of Maxwell equations, COMPEL, 14 (1995), pp. 23-26.
    • (1995) COMPEL , vol.14 , pp. 23-26
    • Bossavit, A.1
  • 8
    • 0039689362 scopus 로고
    • Transformation properties of plane, spherical and cylindrical scalar and vector wave functions
    • in Field Representations and Introduction to Scattering; V. V. Varadan, A. Lakhtakia, and V. K. Varadan, eds.; North-Holland, Amsterdam
    • A. Boström, G. Kristensson, and S. Ström, Transformation properties of plane, spherical and cylindrical scalar and vector wave functions, in Field Representations and Introduction to Scattering, V. V. Varadan, A. Lakhtakia, and V. K. Varadan, eds., Acoustic, Electromagnetic and Elastic Wave Scattering 1, North-Holland, Amsterdam, 1991, pp. 165-210.
    • (1991) Acoustic, Electromagnetic and Elastic Wave Scattering 1 , pp. 165-210
    • Boström, A.1    Kristensson, G.2    Ström, S.3
  • 9
    • 0006194459 scopus 로고    scopus 로고
    • Mathematical methods in electromagnetism
    • World Scientific, Singapore
    • M. Cessenat, Mathematical Methods in Electromagnetism, Ser. Adv. Math. Appl. Sci. 41, World Scientific, Singapore, 1996.
    • (1996) Ser. Adv. Math. Appl. Sci. , vol.41
    • Cessenat, M.1
  • 12
    • 0031352502 scopus 로고    scopus 로고
    • Homogenization of periodic structures via bloch decomposition
    • C. Conca and M. Vanninathan, Homogenization of periodic structures via Bloch decomposition, SIAM J. Appl. Math., 57 (1997), pp. 1639-1659.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1639-1659
    • Conca, C.1    Vanninathan, M.2
  • 14
    • 0001404519 scopus 로고    scopus 로고
    • Homogenization of parabolic equations: An alternative approach and some corrector-type results
    • A. Holmbom, Homogenization of parabolic equations: An alternative approach and some corrector-type results, Appl. Math., 42 (1997), pp. 321-343.
    • (1997) Appl. Math. , vol.42 , pp. 321-343
    • Holmbom, A.1
  • 18
    • 85129697344 scopus 로고    scopus 로고
    • The maxwell equation in a periodic medium: Homogenization of the energy density
    • P. A. Markowich and F. Poupaud, The Maxwell equation in a periodic medium: Homogenization of the energy density, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 23 (1996), pp. 301-324.
    • (1996) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.23 , Issue.4 , pp. 301-324
    • Markowich, P.A.1    Poupaud, F.2
  • 19
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. Nguetseng, A general convergence result for a functional related to the theory of homogenization, SIAM J. Math. Anal., 20 (1989), pp. 608-623.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 21
    • 0029269788 scopus 로고
    • Homogenization of plane weave composites using two-scale convergence
    • S. Shkoller and G. Hegemier, Homogenization of plane weave composites using two-scale convergence, Internat. J. Solids Structures, 32 (1995), pp. 783-794.
    • (1995) Internat. J. Solids Structures , vol.32 , pp. 783-794
    • Shkoller, S.1    Hegemier, G.2
  • 22
    • 0003791756 scopus 로고    scopus 로고
    • Electromagnetic mixing formulae and applications
    • IEE, London
    • A. Sihvola, Electromagnetic Mixing Formulae and Applications, IEE Electromagnet. Waves Ser. 47, IEE, London, 1999.
    • (1999) IEE Electromagnet. Waves Ser. 47
    • Sihvola, A.1
  • 23
  • 26
    • 0038006092 scopus 로고    scopus 로고
    • Homogenization of some linear and nonlinear partial differential equations
    • Ph.D. thesis, Luleå University of Technology, Luleå, Sweden
    • N. Wellander, Homogenization of Some Linear and Nonlinear Partial Differential Equations, Ph.D. thesis, Luleå University of Technology, Luleå, Sweden, 1998.
    • (1998)
    • Wellander, N.1
  • 27
    • 0038344178 scopus 로고    scopus 로고
    • Homogenization of the maxwell equations: Case I. Linear theory
    • N. Wellander, Homogenization of the Maxwell equations: Case I. Linear theory, Appl. Math., 46 (2001), pp. 29-51.
    • (2001) Appl. Math. , vol.46 , pp. 29-51
    • Wellander, N.1
  • 28
    • 84867944634 scopus 로고    scopus 로고
    • Homogenization of the maxwell equations: Case II. Nonlinear conductivity
    • N. Wellander, Homogenization of the Maxwell equations: Case II. Nonlinear conductivity, Appl. Math., 47 (2002), pp. 255-283.
    • (2002) Appl. Math. , vol.47 , pp. 255-283
    • Wellander, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.