메뉴 건너뛰기




Volumn 4, Issue 1, 2005, Pages 250-277

Asymptotic formulas for the voltage potential in a composite medium containing close or touching disks of small diameter

Author keywords

Asymptotic expansions; Conformal mapping; Polarization tensor

Indexed keywords

BOUNDARY CONDITIONS; CONFORMAL MAPPING; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; MATHEMATICAL MODELS; MATRIX ALGEBRA; TENSORS;

EID: 33644699497     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/030602083     Document Type: Article
Times cited : (8)

References (21)
  • 1
    • 0036222666 scopus 로고    scopus 로고
    • Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium
    • C. Alves and H. Ammari, Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium, SIAM J. Appl. Math., 62 (2001), pp. 94-106.
    • (2001) SIAM J. Appl. Math. , vol.62 , pp. 94-106
    • Alves, C.1    Ammari, H.2
  • 2
    • 26444432493 scopus 로고    scopus 로고
    • Reconstruction of closely spaced small inclusions
    • H. Ammari, H. Kang, E. Kim, and M. Lim, Reconstruction of closely spaced small inclusions, SIAM J. Numer. Anal., 42 (2005, pp. 2408-2428.
    • (2005) SIAM J. Numer. Anal. , vol.42 , pp. 2408-2428
    • Ammari, H.1    Kang, H.2    Kim, E.3    Lim, M.4
  • 3
    • 0002559729 scopus 로고    scopus 로고
    • Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter
    • H. Ammari, S. Moskow, and M. Vogelius, Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter, ESAIM Control Optim. Calc. Var., 9 (2003), pp. 49-66.
    • (2003) ESAIM Control Optim. Calc. Var. , vol.9 , pp. 49-66
    • Ammari, H.1    Moskow, S.2    Vogelius, M.3
  • 4
    • 0035596680 scopus 로고    scopus 로고
    • Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations
    • H. Ammari, M. Vogelius, and D. Volkov, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter II. The full Maxwell equations, J. Math. Pures Appl. (9), 80 (2001), pp. 769-814.
    • (2001) J. Math. Pures Appl. , vol.80 , Issue.9 , pp. 769-814
    • Ammari, H.1    Vogelius, M.2    Volkov, D.3
  • 5
    • 0035537076 scopus 로고    scopus 로고
    • Asymptotic formuli for steady state voltage potentials in the presence of conductivity imperfections of small area
    • E. Beretta, A. Mukherjee, and M. Vogelius, Asymptotic formuli for steady state voltage potentials in the presence of conductivity imperfections of small area, Z. Angew. Math. Phys., 52 (2001), pp. 543-572.
    • (2001) Z. Angew. Math. Phys. , vol.52 , pp. 543-572
    • Beretta, E.1    Mukherjee, A.2    Vogelius, M.3
  • 6
    • 0034376968 scopus 로고    scopus 로고
    • An elliptic regularity result for a composite medium with "touching" fibers of circular cross-section
    • E. Bonnetier and M. Vogelius, An elliptic regularity result for a composite medium with "touching" fibers of circular cross-section, SIAM J. Math. Anal., 31 (2000), pp. 651-677.
    • (2000) SIAM J. Math. Anal. , vol.31 , pp. 651-677
    • Bonnetier, E.1    Vogelius, M.2
  • 7
    • 0032046983 scopus 로고    scopus 로고
    • Network approximation for transport properties of high contrast materials
    • L. Borcea and G. C. Papanicolaou, Network approximation for transport properties of high contrast materials, SIAM J. Appl. Math., 58 (1998), pp. 501-539.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 501-539
    • Borcea, L.1    Papanicolaou, G.C.2
  • 8
    • 0021600881 scopus 로고
    • High shear stresses in stiff fiber composites
    • B. Budiansky and G. F. Carrier, High shear stresses in stiff fiber composites, J. Appl. Mech., 51 (1984), pp. 733-735.
    • (1984) J. Appl. Mech. , vol.51 , pp. 733-735
    • Budiansky, B.1    Carrier, G.F.2
  • 9
    • 0012151575 scopus 로고
    • Singular asymptotics of integrals and the near-field radiated from nonuniformly moving dislocations
    • C. J. Callias and X. Markenscoff, Singular asymptotics of integrals and the near-field radiated from nonuniformly moving dislocations, Arch. Rational Mech. Anal., 102 (1988), pp. 273-285.
    • (1988) Arch. Rational Mech. Anal. , vol.102 , pp. 273-285
    • Callias, C.J.1    Markenscoff, X.2
  • 10
    • 0001896318 scopus 로고
    • Singular asymptotics analysis for the singularity at a hole near a boundary
    • C. J. Callias and X. Markenscoff, Singular asymptotics analysis for the singularity at a hole near a boundary, Quart. Appl. Math., 47 (1989), pp. 233-245.
    • (1989) Quart. Appl. Math. , vol.47 , pp. 233-245
    • Callias, C.J.1    Markenscoff, X.2
  • 11
    • 0032002322 scopus 로고    scopus 로고
    • A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders
    • H. Cheng and L. Greengard, A method of images for the evaluation of electrostatic fields in systems of closely spaced conducting cylinders, SIAM J. Appl. Math., 58 (1998), pp. 122-141.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 122-141
    • Cheng, H.1    Greengard, L.2
  • 12
    • 0000932785 scopus 로고    scopus 로고
    • Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
    • D. J. Fengya, S. Moskow, and M. Vogelius, Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction, Inverse Problems, 14 (1998), pp. 553-595.
    • (1998) Inverse Problems , vol.14 , pp. 553-595
    • Fengya, D.J.1    Moskow, S.2    Vogelius, M.3
  • 13
    • 0007473029 scopus 로고
    • Identification of small inhomogeneities of extreme conductivity by boundary measurements
    • A. Friedman and M. Vogelius, Identification of small inhomogeneities of extreme conductivity by boundary measurements, Arch. Rational Mech. Anal., 105 (1989), pp. 299-326.
    • (1989) Arch. Rational Mech. Anal. , vol.105 , pp. 299-326
    • Friedman, A.1    Vogelius, M.2
  • 14
    • 84965721694 scopus 로고
    • Transverse shear loading in an elastic matrix containing two circular cylindrical inclusions
    • J. G. Goree and A. B. Wilson, Jr., Transverse shear loading in an elastic matrix containing two circular cylindrical inclusions, ASME J. Appl. Mech., 34 (1967), pp. 511-513.
    • (1967) ASME J. Appl. Mech. , vol.34 , pp. 511-513
    • Goree, J.G.1    Wilson Jr., A.B.2
  • 15
    • 36849139969 scopus 로고
    • Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders
    • J. B. Keller, Conductivity of a medium containing a dense array of perfectly conducting spheres or cylinders or nonconducting cylinders, J. Appl. Phys., 34 (1963), pp. 991-993.
    • (1963) J. Appl. Phys. , vol.34 , pp. 991-993
    • Keller, J.B.1
  • 16
    • 0027068601 scopus 로고
    • On the domain variation of added masses, polarization and effective characteristics of composites
    • S. M. Kozlov, On the domain variation of added masses, polarization and effective characteristics of composites, J. Appl. Math. Mech., 56 (1992), pp. 102-107.
    • (1992) J. Appl. Math. Mech. , vol.56 , pp. 102-107
    • Kozlov, S.M.1
  • 17
    • 2442607721 scopus 로고    scopus 로고
    • Estimates for elliptic systems from composite material
    • Y. Li and L. Nirenberg, Estimates for elliptic systems from composite material, Comm. Pure Appl. Math., 56 (2003), pp. 892-925.
    • (2003) Comm. Pure Appl. Math. , vol.56 , pp. 892-925
    • Li, Y.1    Nirenberg, L.2
  • 18
    • 0034413375 scopus 로고    scopus 로고
    • Gradient estimates for solutions of divergence form elliptic equations with discontinuous coefficients
    • Y. Li and M. Vogelius, Gradient estimates for solutions of divergence form elliptic equations with discontinuous coefficients, Arch. Ration. Mech. Anal., 153 (2000), pp. 91-151.
    • (2000) Arch. Ration. Mech. Anal. , vol.153 , pp. 91-151
    • Li, Y.1    Vogelius, M.2
  • 19
    • 0642302515 scopus 로고    scopus 로고
    • The Pólya-Szego matrices in asymptotic models of dilute composites
    • A. Movchan and S. K. Serkov, The Pólya-Szego matrices in asymptotic models of dilute composites, European J. Appl. Math., 8 (1997), pp. 595-621.
    • (1997) European J. Appl. Math. , vol.8 , pp. 595-621
    • Movchan, A.1    Serkov, S.K.2
  • 21
    • 0034398617 scopus 로고    scopus 로고
    • Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities
    • M. Vogelius and D. Volkov, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities, Math. Model. Numer. Anal., 34 (2000), pp. 723-748.
    • (2000) Math. Model. Numer. Anal. , vol.34 , pp. 723-748
    • Vogelius, M.1    Volkov, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.