메뉴 건너뛰기




Volumn 27, Issue 7-8, 2002, Pages 1575-1623

Singularities and density problems for composite materials in electromagnetism

Author keywords

Density results; Maxwell's equations; Singularities of solutions

Indexed keywords


EID: 0036381879     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120005849     Document Type: Article
Times cited : (5)

References (24)
  • 1
    • 0000171411 scopus 로고
    • On a finite element method for solving the three-dimensional Maxwell Equations
    • Assous, F.; Degond, P.; Heintzé, E.; Raviart, P.-A.; Segré, J. On a Finite Element Method for Solving the Three-dimensional Maxwell Equations. J. Comput. Phys. 1993, 109, 222-237.
    • (1993) J. Comput. Phys. , vol.109 , pp. 222-237
    • Assous, F.1    Degond, P.2    Heintzé, E.3    Raviart, P.-A.4    Segré, J.5
  • 2
    • 0032378152 scopus 로고    scopus 로고
    • Resolution of the Maxwell equations in a domain with a reentrant corner
    • Assous, F.; Ciarlet, P.; Sonnendrücker, E. Resolution of the Maxwell Equations in a Domain with a Reentrant Corner. M2AN, 1998, 32, 359 389.
    • (1998) M2AN , vol.32 , pp. 359-389
    • Assous, F.1    Ciarlet, P.2    Sonnendrücker, E.3
  • 4
    • 0032657042 scopus 로고    scopus 로고
    • Characterization of the singular part of the solution of Maxwell's equations in a polyhedral domain
    • Assous, F.; Ciarlet, P.; Raviart, P.-A.; Sonnendrücker, E. Characterization of the Singular Part of the Solution of Maxwell's Equations in a Polyhedral Domain, M2AN, 1999, 32, 485-499.
    • (1999) M2AN , vol.32 , pp. 485-499
    • Assous, F.1    Ciarlet, P.2    Raviart, P.-A.3    Sonnendrücker, E.4
  • 5
    • 0001878229 scopus 로고
    • 2-Theory of the maxwell operator in arbitrary domains
    • 2-Theory of the Maxwell Operator in Arbitrary Domains. Russ. Math. Surv. 1987, 42(6), 75-96.
    • (1987) Russ. Math. Surv. , vol.42 , Issue.6 , pp. 75-96
    • Birman, M.1    Solomyak, M.2
  • 6
    • 0000999737 scopus 로고
    • On the main singularities of the electric component of the electro-magnetic field in regions with screens
    • Birman, M.; Solomyak, M. On the Main Singularities of the Electric Component of the Electro-Magnetic Field in Regions with Screens. St. Petersbg. Math. J. 1993, 5(1), 125-139.
    • (1993) St. Petersbg. Math. J. , vol.5 , Issue.1 , pp. 125-139
    • Birman, M.1    Solomyak, M.2
  • 7
    • 0011982241 scopus 로고    scopus 로고
    • A singular field method for the solution of Maxwell's equations in polyhedral domains
    • Bonnet-Ben Dhia, A.-S.; Hazard, C.; Lohrengel, S. A Singular Field Method for the Solution of Maxwell's Equations in Polyhedral Domains. SIAM J. Appl. Math. 1999, 59(6), 2028-2044.
    • (1999) SIAM J. Appl. Math. , vol.59 , Issue.6 , pp. 2028-2044
    • Bonnet-Ben Dhia, A.-S.1    Hazard, C.2    Lohrengel, S.3
  • 8
    • 0000761434 scopus 로고    scopus 로고
    • Les équations de Maxwell dans un polyèdre: Un résultat de densité
    • Ciarlet, P.; Hazard, C.; Lohrengel, S. Les Équations de Maxwell Dans un Polyèdre: un Résultat de Densité. C. R. Acad. Sci. Paris, Série I 1998, 326, 1305-1310.
    • (1998) C. R. Acad. Sci. Paris, Série I , vol.326 , pp. 1305-1310
    • Ciarlet, P.1    Hazard, C.2    Lohrengel, S.3
  • 9
    • 0032209878 scopus 로고    scopus 로고
    • Un résultat de densité Pour les équations de Maxwell régularisées dans un domaine lipschitzien
    • Costabel, M.; Dauge, M. Un Résultat de Densité Pour les Équations de Maxwell Régularisées Dans un Domaine Lipschitzien. C. R. Acad. Sci. Paris, Série I 1998, 327, 849-854.
    • (1998) C. R. Acad. Sci. Paris, Série I , vol.327 , pp. 849-854
    • Costabel, M.1    Dauge, M.2
  • 10
    • 0034382191 scopus 로고    scopus 로고
    • Singularities of electromagnetic fields in polyhedral domains
    • Costabel, M.; Dauge, M. Singularities of Electromagnetic Fields in Polyhedral Domains. Arch. Rational Mech. Anal. 2000, 151, 221-276.
    • (2000) Arch. Rational Mech. Anal. , vol.151 , pp. 221-276
    • Costabel, M.1    Dauge, M.2
  • 11
    • 0033414918 scopus 로고    scopus 로고
    • Singularities of Maxwell interface problems
    • Costabel, M.; Dauge, M.; Nicaise, S. Singularities of Maxwell Interface Problems, M2AN 1999, 33, 627-649.
    • (1999) M2AN , vol.33 , pp. 627-649
    • Costabel, M.1    Dauge, M.2    Nicaise, S.3
  • 12
    • 0003074691 scopus 로고
    • Elliptic boundary value problems on corner domains
    • Springer-Verlag: Berlin
    • Dauge, M. Elliptic Boundary Value Problems on Corner Domains. L. N. in Math. 1341; Springer-Verlag: Berlin, 1988.
    • (1988) L. N. in Math. , vol.1341
    • Dauge, M.1
  • 14
    • 0000321238 scopus 로고
    • Théorème de traces relatifs à un polyèdre
    • Grisvard, P. Théorème de Traces Relatifs à un Polyèdre. C. R. Acad. Sci. Paris, Sèrie A 1974, 278, 1581-1583.
    • (1974) C. R. Acad. Sci. Paris, Sèrie A , vol.278 , pp. 1581-1583
    • Grisvard, P.1
  • 16
    • 84985324041 scopus 로고
    • Edge behaviour of the solution of an elliptic problem
    • Grisvard P. Edge Behaviour of the Solution of an Elliptic Problem. Math. Nachr. 1987, 132, 281-299.
    • (1987) Math. Nachr. , vol.132 , pp. 281-299
    • Grisvard, P.1
  • 18
    • 0030515839 scopus 로고    scopus 로고
    • On the solution of time-harmonic scattering problems for Maxwell's equations
    • Hazard, C.; Lenoir, M. On the Solution of Time-Harmonic Scattering Problems for Maxwell's Equations. SIAM J. Math. Anal. 1996, 27(6), 1597-1630.
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.6 , pp. 1597-1630
    • Hazard, C.1    Lenoir, M.2
  • 19
    • 0010533622 scopus 로고    scopus 로고
    • Elliptic interface problems in axisymmetric domains I: Singular functions of non-tensorial type
    • Heinrich, B.; Nicaise, S.; Weber, B. Elliptic Interface Problems in Axisymmetric Domains I: Singular Functions of Non-Tensorial Type. Math. Nachr. 1997, 186, 147-165.
    • (1997) Math. Nachr. , vol.186 , pp. 147-165
    • Heinrich, B.1    Nicaise, S.2    Weber, B.3
  • 20
    • 0346194137 scopus 로고
    • Computation of singular solutions in elliptic problems and elasticity
    • Masson
    • Leguillon, D.; Sanchez-Palencia, E. Computation of Singular Solutions in Elliptic Problems and Elasticity; RMA 5, Masson, 1991.
    • (1991) RMA , vol.5
    • Leguillon, D.1    Sanchez-Palencia, E.2
  • 21
    • 0034195940 scopus 로고    scopus 로고
    • Les équations de Maxwell Dans des Matériaux Composites: Problèmes de Densitè
    • Lohrengel, S.; Nicaise, S. Les Équations de Maxwell Dans des Matériaux Composites: Problèmes de Densitè. C. R. Acad. Sci. Paris, Série I 2000, 330, 1-6.
    • (2000) C. R. Acad. Sci. Paris, Série I , vol.330 , pp. 1-6
    • Lohrengel, S.1    Nicaise, S.2
  • 22
    • 0000375765 scopus 로고    scopus 로고
    • H(div, rot, ω) Dans un Polygone Plan
    • Moussaoui, M. H(div, rot, ω) Dans un Polygone Plan. C. R. Acad. Sc. Paris, Série I 1996, 322, 225-229.
    • (1996) C. R. Acad. Sc. Paris Série I , vol.322 , pp. 225-229
    • Moussaoui, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.