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Volumn 21, Issue 3, 2005, Pages 1087-1104

A mixed formulation of quasi-reversibility to solve the Cauchy problem for Laplace's equation

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; ELECTROCARDIOGRAPHY; INVERSE PROBLEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING;

EID: 18744373648     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/3/018     Document Type: Article
Times cited : (136)

References (23)
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    • Bodart, O.1
  • 3
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    • Bourgeois L 1998 Contrôle optimal et problèmes inverses en plasticité Thèse de Doctorat Ecole Polytechnique
    • (1998) Thèse De Doctorat
    • Bourgeois, L.1
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    • Solution of the Cauchy problem using iterated Tikhonov regularization
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    • Cimetière A, Delvare F, Jaoua M and Pons F 2001 Solution of the Cauchy problem using iterated Tikhonov regularization Inverse Problems 17 553-70
    • (2001) Inverse Problems , vol.17 , Issue.3 , pp. 553-570
    • Cimetière, A.1    Delvare, F.2    Jaoua, M.3    Pons, F.4
  • 13
    • 0011022279 scopus 로고
    • On the density of smooth functions in certain subspaces of Sobolev space
    • Doktor P 1973 On the density of smooth functions in certain subspaces of Sobolev space Comment. Math. Univ. Carolinae 14 609-22
    • (1973) Comment. Math. Univ. Carolinae , vol.14 , pp. 609-622
    • Doktor, P.1
  • 14
    • 0001770541 scopus 로고    scopus 로고
    • An inverse Robin problem for Laplace's equation: Theoretical results and numerical methods
    • 0266-5611 008
    • Fasino D and Inglese G 1999 An inverse Robin problem for Laplace's equation: theoretical results and numerical methods Inverse Problems 15 41-8
    • (1999) Inverse Problems , vol.15 , Issue.1 , pp. 41-48
    • Fasino, D.1    Inglese, G.2
  • 15
    • 18744362316 scopus 로고    scopus 로고
    • Gilardi G 1997 Problemi variazionali per equazioni di tipo ellitico Dottorato di Ricerca in Matematica Consorzio delle Università di Brescia Sacro Cuore, Milano, Milano Politecnico, Pavia
    • (1997) Dottorato Di Ricerca in Matematica
    • Gilardi, G.1
  • 16
    • 0031212101 scopus 로고    scopus 로고
    • An inverse problem in corrosion detection
    • 0266-5611 006
    • Inglese G 1997 An inverse problem in corrosion detection Inverse Problems 13 977-94
    • (1997) Inverse Problems , vol.13 , Issue.4 , pp. 977-994
    • Inglese, G.1
  • 17
    • 18744398287 scopus 로고
    • Joly P 1994 Introduction à l'analyse mathématique de la propagation d'ondes en régime harmonique Rapport INRIA
    • (1994) Rapport INRIA
    • Joly, P.1
  • 18
    • 0026370571 scopus 로고
    • A computational quasi-reversibility method for Cauchy problems for Laplace's equation
    • 10.1137/0151085 0036-1399
    • Klibanov M V and Santosa F 1991 A computational quasi-reversibility method for Cauchy problems for Laplace's equation SIAM J. Appl. Math. 51 1653-75
    • (1991) SIAM J. Appl. Math. , vol.51 , Issue.6 , pp. 1653-1675
    • Klibanov, M.V.1    Santosa, F.2
  • 19
    • 0002783988 scopus 로고
    • An iterative method for solving the Cauchy problem for elliptic equations
    • Kozlov V A, Maz'ya V G and Fomin A V 1991 An iterative method for solving the Cauchy problem for elliptic equations Comput. Math. Math. Phys. 31 45-52
    • (1991) Comput. Math. Math. Phys. , vol.31 , pp. 45-52
    • Kozlov, V.A.1    Maz'Ya, V.G.2    Fomin, A.V.3
  • 23
    • 0027224199 scopus 로고
    • Method of separation of variables and Hamiltonian system
    • Zhong W and Zhong X 1993 Method of separation of variables and Hamiltonian system Numer. Methods Partial Diff. Eqns 9 63-75
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.