메뉴 건너뛰기




Volumn 10, Issue 3, 2003, Pages 549-560

A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields

Author keywords

harmonic vector fields; integral equations; inverse problems; magnetostatics; Potential theory

Indexed keywords


EID: 28544453243     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2003.549     Document Type: Article
Times cited : (9)

References (12)
  • 1
    • 0035541164 scopus 로고    scopus 로고
    • Explicit characterization of inclusions in electrical impedance tomography
    • M. BrÜhl, Explicit characterization of inclusions in electrical impedance tomography. SIAM J. Math. Anal. 32(2001), 1327-1341.
    • (2001) SIAM J. Math. Anal. , vol.32 , pp. 1327-1341
    • BrÜhl, M.1
  • 2
    • 0000252505 scopus 로고    scopus 로고
    • Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
    • M. BrÜhl and M. Hanke, Numerical implementation of two noniterative methods for locating inclusions by impedance tomography. Inverse Problems 16(2000), 1029-1042.
    • (2000) Inverse Problems , vol.16 , pp. 1029-1042
    • BrÜhl, M.1    Hanke, M.2
  • 3
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • D. Colton and A. Kirsch, A simple method for solving inverse scattering problems in the resonance region. Inverse Problems 12(1996), 383-393.
    • (1996) Inverse Problems , vol.12 , pp. 383-393
    • Colton, D.1    Kirsch, A.2
  • 4
    • 0003584504 scopus 로고    scopus 로고
    • Inverse acoustic and electromagnetic scattering theory
    • 2nd edition. Springer-Verlag, Berlin.
    • D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory. 2nd edition. Applied Mathematical Sciences, 93. Springer-Verlag, Berlin, 1998.
    • (1998) Applied Mathematical Sciences , pp. 93
    • Colton, D.1    Kress, R.2
  • 5
    • 0001233019 scopus 로고    scopus 로고
    • An inverse problem in electrostatics
    • P. Hàhner, An inverse problem in electrostatics. Inverse Problems 15(1999), 961-975.
    • (1999) Inverse Problems , vol.15 , pp. 961-975
    • Hàhner, P.1
  • 6
    • 0000714376 scopus 로고    scopus 로고
    • Characterization of the shape of the scattering obstacle by the spectral data of the far field operator
    • A. Kirsch, Characterization of the shape of the scattering obstacle by the spectral data of the far field operator. Inverse Problems 14(1998), 1489-1512.
    • (1998) Inverse Problems , vol.14 , pp. 1489-1512
    • Kirsch, A.1
  • 7
    • 84950358808 scopus 로고
    • Grenz- und Sprungrelationen fÜr Potentiale mit quadrat-summierbarer Dichte
    • H. Kersten, Grenz- und Sprungrelationen fÜr Potentiale mit quadrat-summierbarer Dichte. Resultate Math. 3(1980), 17-24.
    • (1980) Resultate Math. , vol.3 , pp. 17-24
    • Kersten, H.1
  • 8
    • 0003449635 scopus 로고    scopus 로고
    • Linear integral equations
    • 2nd edition. Springer-Verlag, New York.
    • R. Kress, Linear integral equations. 2nd edition. Applied Mathematical Sciences, 82. Springer-Verlag, New York, 1999.
    • (1999) Applied Mathematical Sciences , pp. 82
    • Kress, R.1
  • 9
    • 0000679270 scopus 로고    scopus 로고
    • Inverse boundary value problems in potential theory
    • R. Kress, Inverse boundary value problems in potential theory. Cubo Mat. Educ. 3(2001), 393-414.
    • (2001) Cubo Mat. Educ. , vol.3 , pp. 393-414
    • Kress, R.1
  • 10
    • 33645209434 scopus 로고    scopus 로고
    • A sampling method for an inverse boundary value problem for harmonic vector fields
    • (Kabanikhin, Romanov, eds.), VSP, Utrecht.
    • R. Kress, A sampling method for an inverse boundary value problem for harmonic vector fields. III-Posed and Inverse Problems (Kabanikhin, Romanov, eds.), VSP, Utrecht, 2002.
    • (2002) III-Posed and Inverse Problems
    • Kress, R.1
  • 11
    • 0036776408 scopus 로고    scopus 로고
    • Linear sampling methods for inverse boundary value problems in potential theory
    • R. Kress and L. KÜhn, Linear sampling methods for inverse boundary value problems in potential theory. Appl. Numer. Math. 43(2002), 161-173.
    • (2002) Appl. Numer. Math. , vol.43 , pp. 161-173
    • Kress, R.1    KÜhn, L.2
  • 12
    • 0003797412 scopus 로고    scopus 로고
    • Strongly elliptic systems and boundary integral equations
    • Cambridge University Press, Cambridge.
    • W. McLean, Strongly elliptic systems and boundary integral equations. Cambridge University Press, Cambridge, 2000.
    • (2000)
    • McLean, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.