메뉴 건너뛰기




Volumn 17, Issue 2, 2001, Pages 261-271

Backus-Gilbert algorithm for the Cauchy problem of the Laplace equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035306176     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/17/2/306     Document Type: Article
Times cited : (100)

References (19)
  • 1
    • 84971151488 scopus 로고
    • Stable determination of a crack from boundary measurements
    • Alessandrini G 1993 Stable determination of a crack from boundary measurements Proc. R. Soc. Edinburgh A 123 497-516
    • (1993) Proc. R. Soc. Edinburgh A , vol.123 , pp. 497-516
    • Alessandrini, G.1
  • 2
    • 84981758808 scopus 로고
    • Numerical applications of a formalism for geophysical inverse problems
    • Backus G E and Gilbert J F 1967 Numerical applications of a formalism for geophysical inverse problems Geophys. J. R. Astron. Soc. 13 247-76
    • (1967) Geophys. J. R. Astron. Soc. , vol.13 , pp. 247-276
    • Backus, G.E.1    Gilbert, J.F.2
  • 3
    • 0000786913 scopus 로고
    • Uniqueness in the inversion of inaccurate gross earth data
    • Backus G E and Gilbert J F 1970 Uniqueness in the inversion of inaccurate gross earth data Phil. Trans. R. Soc. A 266 123-92
    • (1970) Phil. Trans. R. Soc. A , vol.266 , pp. 123-192
    • Backus, G.E.1    Gilbert, J.F.2
  • 5
    • 0032271479 scopus 로고    scopus 로고
    • Stable determination of boundaries from Cauchy data
    • Beretta E and Vessella S 1998 Stable determination of boundaries from Cauchy data SIAM J. Math. Anal. 30 220-32
    • (1998) SIAM J. Math. Anal. , vol.30 , pp. 220-232
    • Beretta, E.1    Vessella, S.2
  • 6
    • 0001191809 scopus 로고    scopus 로고
    • Uniqueness and stability for an inverse problem of determining a part of boundary
    • Bukhgeim A L, Cheng J and Yamamoto M 1999 Uniqueness and stability for an inverse problem of determining a part of boundary Inverse Problems 15 1021-32
    • (1999) Inverse Problems , vol.15 , pp. 1021-1032
    • Bukhgeim, A.L.1    Cheng, J.2    Yamamoto, M.3
  • 8
    • 0022360366 scopus 로고
    • A mathematical procedure for solving the inverse potential problem of electrocardiography from in vitro experimental data
    • Collo-Franzone P, Tentoni S, Viganotti C, Baruffi S, Spaggiari S and Taccardi B 1985 A mathematical procedure for solving the inverse potential problem of electrocardiography from in vitro experimental data Math. Biosci. 77 353-96
    • (1985) Math. Biosci. , vol.77 , pp. 353-396
    • Collo-Franzone, P.1    Tentoni, S.2    Viganotti, C.3    Baruffi, S.4    Spaggiari, S.5    Taccardi, B.6
  • 13
    • 0042675875 scopus 로고
    • 2-conditional stability estimate for the Cauchy problem for the Laplace equation
    • 2-conditional stability estimate for the Cauchy problem for the Laplace equation J. Inverse Ill-Posed Problems 2 252-61
    • (1994) J. Inverse Ill-posed Problems , vol.2 , pp. 252-261
    • Kubo, M.1
  • 14
    • 0020477348 scopus 로고
    • The measurement of surface cracks in metals by using AC electric fields
    • Michael D H, Waechter R T and Collins R 1982 The measurement of surface cracks in metals by using AC electric fields Proc. R. Soc. A 381 139-57
    • (1982) Proc. R. Soc. A , vol.381 , pp. 139-157
    • Michael, D.H.1    Waechter, R.T.2    Collins, R.3
  • 16
    • 0011077342 scopus 로고
    • On the convergence of the Backus-Gilbert algorithm
    • Schomburg B and Berendt G 1987 On the convergence of the Backus-Gilbert algorithm Inverse Problems 3 341-6
    • (1987) Inverse Problems , vol.3 , pp. 341-346
    • Schomburg, B.1    Berendt, G.2
  • 17
    • 0001467479 scopus 로고
    • Recovering a function from a finite number of moments
    • Talenti G 1987 Recovering a function from a finite number of moments Inverse Problems 3 501-17
    • (1987) Inverse Problems , vol.3 , pp. 501-517
    • Talenti, G.1
  • 19
    • 0001009305 scopus 로고
    • Solution of the Hausdorff moment problem by the use of Pollaczek polynomials
    • Viano G A 1991 Solution of the Hausdorff moment problem by the use of Pollaczek polynomials J. Math. Anal. Appl. 156 410-27
    • (1991) J. Math. Anal. Appl. , vol.156 , pp. 410-427
    • Viano, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.