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Volumn 42, Issue 3, 2002, Pages 215-230

An inversion method with decreasing regularization for the backward heat conduction problem

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; HEAT CONDUCTION; HEAT FLUX; INTEGRAL EQUATIONS; ITERATIVE METHODS; LAPLACE TRANSFORMS; LEAST SQUARES APPROXIMATIONS; TEMPERATURE DISTRIBUTION;

EID: 0036749217     PISSN: 10407790     EISSN: None     Source Type: Journal    
DOI: 10.1080/10407790260233538     Document Type: Article
Times cited : (45)

References (14)
  • 3
    • 84968490731 scopus 로고
    • A well posed problem for the backward heat equation
    • W. L. Miranker, A Well Posed Problem for the Backward Heat Equation, Proc. Am. Math. Soc., vol. 12, pp. 243-254, 1961.
    • (1961) Proc. Am. Math. Soc. , vol.12 , pp. 243-254
    • Miranker, W.L.1
  • 4
    • 0000319866 scopus 로고
    • The cauchy problem for the heat equation
    • J. R. Cannon and J. Douglas, Jr., The Cauchy Problem for the Heat Equation, SIAM J. Numer. Anal., vol. 4, pp. 317-327, 1967.
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 317-327
    • Cannon, J.R.1    Douglas J., Jr.2
  • 5
    • 0000160211 scopus 로고
    • A cauchy problem for the heat equation
    • J. R. Cannon, A Cauchy Problem for the Heat Equation, Ann. Math. Pure Appl., vol. 18, pp. 112-114, 1964.
    • (1964) Ann. Math. Pure Appl. , vol.18 , pp. 112-114
    • Cannon, J.R.1
  • 6
    • 0001293247 scopus 로고
    • The boundary method for the solution of the blackward heat conduction equation
    • H. Han, D. B. Ingham, and Y. Yuan, The Boundary Method for the Solution of the Blackward Heat Conduction Equation, J. Comput. Phys., 116, pp. 292-299, 1995.
    • (1995) J. Comput. Phys. , vol.116 , pp. 292-299
    • Han, H.1    Ingham, D.B.2    Yuan, Y.3
  • 8
    • 0000898783 scopus 로고    scopus 로고
    • An iterative boundary element method for solving the backward heat conduction problem using an elliptic approximation
    • D. Lesnic, L. Elliott, and D. B Ingham, An Iterative Boundary Element Method for Solving the Backward Heat Conduction Problem Using an Elliptic Approximation, Inverse Prob. Eng., vol. 6, pp. 255-279, 1998.
    • (1998) Inverse Prob. Eng. , vol.6 , pp. 255-279
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 10
    • 4243527901 scopus 로고    scopus 로고
    • An inversion method with fading regularization
    • Rapport de recherch 00-03, Laboratoire de modelisation mathematique et numerique dans less sciences de l'ingenieur, Ecole national d'ingenieurs de Tunis
    • A. Cimetiere, F. Delvare, M. Jaoua, and F. Pons, An Inversion Method with Fading Regularisation, Rapport de recherch 00-03, Laboratoire de modelisation mathematique et numerique dans less sciences de l'ingenieur, Ecole national d'ingenieurs de Tunis, 2000.
    • (2000)
    • Cimetiere, A.1    Delvare, F.2    Jaoua, M.3    Pons, F.4
  • 13
    • 0034744604 scopus 로고    scopus 로고
    • An iterative boundary element method for solving the one dimensional backward heat conduction problem
    • N. S. Mera, L. Elliott, D. B. Ingham, and D. Lesnic, An Iterative Boundary Element Method for Solving the One Dimensional Backward Heat Conduction Problem, Int. J. Heat Mass Transfer, vol. 44, pp. 1937-1946, 2001.
    • (2001) Int. J. Heat Mass Transfer , vol.44 , pp. 1937-1946
    • Mera, N.S.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 14
    • 0004332272 scopus 로고
    • 1991, Mark 15, The Numerical Algorithms Ltd., Oxford, U.K.
    • NAG Fortran Library Manual, 1991, Mark 15, The Numerical Algorithms Ltd., Oxford, U.K., 1991.
    • (1991) NAG Fortran Library Manual


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.