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Volumn 22, Issue 4, 2006, Pages 1289-1305

Identification of source locations in two-dimensional heat equations

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INVERSE PROBLEMS; NUMERICAL ANALYSIS; SCATTERING; THEOREM PROVING;

EID: 33746288650     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/22/4/011     Document Type: Article
Times cited : (111)

References (20)
  • 1
    • 1842853059 scopus 로고    scopus 로고
    • The method of fundamental solutions for solving Poisson problems
    • Alves C J S, Chen C S and Sler B 2002 The method of fundamental solutions for solving Poisson problems Boundary Elements, XXIV (Sintra, 2002) (Int. Ser. Adv. Bound. Elem. vol 13) (Southampton: WIT Press) pp 67-76
    • (2002) Boundary Elements, XXIV , pp. 67-76
    • Alves, C.J.S.1    Chen, C.S.2    Sler, B.3
  • 2
    • 13744261500 scopus 로고    scopus 로고
    • Recovery of pointwise sources or small inclusions in 2D domains and rational approximation
    • Baratchart L, Ben Abda A, Ben Hassen F and Leblond J 2005 Recovery of pointwise sources or small inclusions in 2D domains and rational approximation Inverse Problems 21 51-74
    • (2005) Inverse Problems , vol.21 , Issue.1 , pp. 51-74
    • Baratchart, L.1    Ben Abda, A.2    Ben Hassen, F.3    Leblond, J.4
  • 3
    • 33644854587 scopus 로고
    • Uniqueness and stability of 3D heat sources
    • Cannon J R and Pérez Esteva S 1991 Uniqueness and stability of 3D heat sources Inverse Problems 7 57-62
    • (1991) Inverse Problems , vol.7 , Issue.1 , pp. 57-62
    • Cannon, J.R.1    Pérez Esteva, S.2
  • 4
    • 0008103640 scopus 로고    scopus 로고
    • Method of fundamental solutions for multi-dimensional quenching problems
    • Chan C Y and Chen C S 1996 Method of fundamental solutions for multi-dimensional quenching problems Proc. Dynamic Systems and Applications (Atlanta, GA, 1995) vol 2 pp 115-121
    • (1996) Proc. Dynamic Systems and Applications , vol.2 , pp. 115-121
    • Chan, C.Y.1    Chen, C.S.2
  • 5
    • 4444301710 scopus 로고    scopus 로고
    • Conditional stability in determining a heat source
    • Choulli M and Yamamoto M 2004 Conditional stability in determining a heat source J. Inverse Ill-Posed Problems 12 233-43
    • (2004) J. Inverse Ill-Posed Problems , vol.12 , Issue.3 , pp. 233-243
    • Choulli, M.1    Yamamoto, M.2
  • 6
    • 0042430708 scopus 로고    scopus 로고
    • Some remarks on the problem of source identification from boundary measurements
    • El Badia A and Ha Duong T 1998 Some remarks on the problem of source identification from boundary measurements Inverse Problems 14 883-91
    • (1998) Inverse Problems , vol.14 , Issue.4 , pp. 883-891
    • El Badia, A.1    Ha Duong, T.2
  • 7
    • 0037264225 scopus 로고    scopus 로고
    • On an inverse source problem for the heat equation. Application to a pollution detection problem
    • El Badia A and Ha-Duong T 2002 On an inverse source problem for the heat equation. Application to a pollution detection problem J. Inverse Ill-Posed Problems 10 585-99
    • (2002) J. Inverse Ill-Posed Problems , vol.10 , pp. 585-599
    • El Badia, A.1    Ha-Duong, T.2
  • 8
    • 0029388503 scopus 로고
    • The method of fundamental solutions for Poisson's equation
    • Golberg M A 1995 The method of fundamental solutions for Poisson's equation Eng. Anal. Boundary Elements 16 205-13
    • (1995) Eng. Anal. Boundary Elements , vol.16 , Issue.3 , pp. 205-213
    • Golberg, M.A.1
  • 9
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Golberg M A and Chen C S 1999 The method of fundamental solutions for potential, Helmholtz and diffusion problems Boundary Integral Methods: Numerical and Mathematical Aspects (Comput. Eng. vol 1) (Boston, MA: WIT Press) pp 103-176
    • (1999) Boundary Integral Methods: Numerical and Mathematical Aspects , pp. 103-176
    • Golberg, M.A.1    Chen, C.S.2
  • 10
    • 0004148844 scopus 로고    scopus 로고
    • Lieb E H and Loss M 2001 Analysis (Graduate Studies in Mathematics vol 14) 2nd edn (Providence, RI: American Mathematical Society)
    • (2001) Analysis
    • Lieb, E.H.1    Loss, M.2
  • 11
    • 20744443008 scopus 로고    scopus 로고
    • Inverse source identification for poisson equation
    • Ling L, Hon Y C and Yamamoto M 2005 Inverse source identification for poisson equation Inverse Problems Sci. Eng. 13 433-47
    • (2005) Inverse Problems Sci. Eng. , vol.13 , Issue.4 , pp. 433-447
    • Ling, L.1    Hon, Y.C.2    Yamamoto, M.3
  • 13
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • Marquardt D W 1963 An algorithm for least-squares estimation of nonlinear parameters J. Soc. Indust. Appl. Math. 11 431-41
    • (1963) J. Soc. Indust. Appl. Math. , vol.11 , Issue.2 , pp. 431-441
    • Marquardt, D.W.1
  • 14
    • 0001362410 scopus 로고
    • The Levenberg-Marquardt algorithm: Implementation and theory
    • Moré J J 1978 The Levenberg-Marquardt algorithm: implementation and theory Numerical Analysis (Proc. 7th Biennial Conf., University of Dundee, Dundee, 1977) (Lecture Notes in Mathematics vol 630) (Berlin: Springer) pp 105-16
    • (1978) Numerical Analysis , pp. 105-116
    • Moré, J.J.1
  • 15
    • 0036608807 scopus 로고    scopus 로고
    • A sequential method of solving inverse natural convection problems
    • Park H M and Chung J S 2002 A sequential method of solving inverse natural convection problems Inverse Problems 18 529-46
    • (2002) Inverse Problems , vol.18 , Issue.3 , pp. 529-546
    • Park, H.M.1    Chung, J.S.2
  • 16
    • 1042297427 scopus 로고    scopus 로고
    • An inverse problem for the heat equation. II
    • Ramm A G 2002 An inverse problem for the heat equation. II Appl. Anal. 81 929-37
    • (2002) Appl. Anal. , vol.81 , Issue.4 , pp. 929-937
    • Ramm, A.G.1
  • 17
    • 33644852011 scopus 로고    scopus 로고
    • Reverse convolution inequalities and applications to inverse heat source problems
    • Saitoh S, Tuan Vu Kim and Yamamoto M 2002 Reverse convolution inequalities and applications to inverse heat source problems JIPAM. J. Inequal. Pure Appl. Math. 3 11 (electronic)
    • (2002) JIPAM. J. Inequal. Pure Appl. Math. , vol.3 , pp. 11
    • Saitoh, S.1    Vu Kim, T.2    Yamamoto, M.3
  • 19
    • 33644863173 scopus 로고    scopus 로고
    • Reconstruction of heat sources in heat conduction equations
    • Wang P and Zheng K 2000 Reconstruction of heat sources in heat conduction equations Comput. Appl. Math. 19 231-8
    • (2000) Comput. Appl. Math. , vol.19 , pp. 231-238
    • Wang, P.1    Zheng, K.2
  • 20
    • 9644281094 scopus 로고    scopus 로고
    • Source term identification in 1-d IHCP
    • Yi Zh and Murio D A 2004 Source term identification in 1-d IHCP Comput. Math. Appl. 47 1921-33
    • (2004) Comput. Math. Appl. , vol.47 , Issue.12 , pp. 1921-1933
    • Zh, Y.1    Murio, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.