메뉴 건너뛰기




Volumn 62, Issue 1, 2001, Pages 94-106

Boundary integral formulae for the reconstruction of imperfections of small diameter in an elastic medium

Author keywords

Elastic imperfections; Inverse elastic problem; Lam equation; Reconstruction

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; GEOMETRY; INVERSE PROBLEMS; MAXWELL EQUATIONS; VECTORS;

EID: 0036222666     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139900369266     Document Type: Article
Times cited : (49)

References (16)
  • 1
    • 0008808677 scopus 로고    scopus 로고
    • Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter
    • to appear
    • H. AMMARI, S. MOSKOW, AND M. VOGELIUS, Boundary integral formulas for the reconstruction of electromagnetic imperfections of small diameter, ESAIM Control Optitn. Calc. Var., to appear.
    • ESAIM Control Optitn. Calc. Var.
    • Ammari, H.1    Moskow, S.2    Vogelius, M.3
  • 2
    • 85037316955 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
    • to appear
    • 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), to appear.
    • J. Math. Pures Appl. , vol.9
    • Ammari, H.1    Vogelius, M.2    Volkov, D.3
  • 3
    • 0008829563 scopus 로고    scopus 로고
    • Asymptotic formuli for steady state voltage potentials in the presence of conductivity imperfection of small area
    • to appear
    • E. BERETTA, A. MUKHERJEE, AND M. VOGELIUS, Asymptotic formuli for steady state voltage potentials in the presence of conductivity imperfection of small area, Z. Angew. Math. Phys., to appear.
    • Z. Angew. Math. Phys.
    • Beretta, E.1    Mukherjee, A.2    Vogelius, M.3
  • 5
    • 0000932785 scopus 로고    scopus 로고
    • Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computional reconstruction
    • D. J. CEDIO-FENGYA, S. MOSKOW, AND M. VOGELIUS, Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computional reconstruction, Inverse Problems, 14 (1998), pp. 553-595.
    • (1998) Inverse Problems , vol.14 , pp. 553-595
    • Cedio-Fengya, D.J.1    Moskow, S.2    Vogelius, M.3
  • 7
    • 0007473029 scopus 로고
    • Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
    • A. FRIEDMAN AND M. VOGELIUS, Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence, Arch. Ration. Mech. Anal., 105 (1989), pp. 299-326.
    • (1989) Arch. Ration. Mech. Anal. , vol.105 , pp. 299-326
    • Friedman, A.1    Vogelius, M.2
  • 8
    • 0008831548 scopus 로고    scopus 로고
    • Uniqueness in inverse problems for the isotropic Lamé system
    • M. IKEHATA, G. NAKAMURA, AND M. YAMAMOTO, Uniqueness in inverse problems for the isotropic Lamé system, J. Math. Sci. Univ. Tokyo, 5 (1998), pp. 627-692.
    • (1998) J. Math. Sci. Univ. Tokyo , vol.5 , pp. 627-692
    • Ikehata, M.1    Nakamura, G.2    Yamamoto, M.3
  • 10
    • 0027659091 scopus 로고
    • Crack determination from boundary measurements - reconstruction using experimental data
    • V. LIEPA, F. SANTOSA, AND M. VOGELIUS, Crack determination from boundary measurements - reconstruction using experimental data, J. Nondestructive Evaluation, 12 (1993), pp. 163-174.
    • (1993) J. Nondestructive Evaluation , vol.12 , pp. 163-174
    • Liepa, V.1    Santosa, F.2    Vogelius, M.3
  • 11
    • 0030126876 scopus 로고    scopus 로고
    • A nonuniqueness theorem for an inverse boundary value problem in elasticity
    • G. NAKAMURA AND K. TANUMA, A nonuniqueness theorem for an inverse boundary value problem in elasticity, SIAM J. Appl. Math., 56 (1996), pp. 602-610.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 602-610
    • Nakamura, G.1    Tanuma, K.2
  • 12
    • 21844496162 scopus 로고
    • Inverse problems at the boundary for an elastic medium
    • G. NAKAMURA AND G. UHLMANN, Inverse problems at the boundary for an elastic medium, SIAM J. Math. Anal., 26 (1995), pp. 263-279.
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 263-279
    • Nakamura, G.1    Uhlmann, G.2
  • 13
    • 0000135170 scopus 로고
    • Global uniqueness for an inverse boundary problem arising in elasticity
    • G. NAKAMURA AND G. UHLMANN, Global uniqueness for an inverse boundary problem arising in elasticity, Invent. Math., 118 (1994), pp. 457-474.
    • (1994) Invent. Math. , vol.118 , pp. 457-474
    • Nakamura, G.1    Uhlmann, G.2
  • 14
    • 0000107961 scopus 로고
    • Identification of Lamé parameters by boundary measurements
    • G. NAKAMURA AND G. UHLMANN, Identification of Lamé parameters by boundary measurements, Amer. J. Math., 115 (1993), pp. 1161-1187.
    • (1993) Amer. J. Math. , vol.115 , pp. 1161-1187
    • Nakamura, G.1    Uhlmann, G.2
  • 15
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • J. SYLVESTER AND G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math., 125 (1987), pp. 153-169.
    • (1987) Ann. of Math. , vol.125 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2
  • 16
    • 0034398617 scopus 로고    scopus 로고
    • Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
    • M. VOGELIUS AND D. VOLKOV, Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter, 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.