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Volumn 23, Issue 3, 2007, Pages 1053-1068

Regularization strategies for a two-dimensional inverse heat conduction problem

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HEAT CONDUCTION; LINEAR EQUATIONS; PROBLEM SOLVING;

EID: 34249736896     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/3/013     Document Type: Article
Times cited : (57)

References (29)
  • 1
    • 0019286404 scopus 로고
    • A finite element formulation of the two-dimensional nonlinear inverse heat conduction problem
    • Bass B R and Ott L J 1980 A finite element formulation of the two-dimensional nonlinear inverse heat conduction problem Adv. Comput. Technol. 2 238-48
    • (1980) Adv. Comput. Technol. , vol.2 , pp. 238-248
    • Bass, B.R.1    Ott, L.J.2
  • 2
    • 0040163032 scopus 로고
    • On the approximate solution of a two-dimensional inverse heat conduction problem
    • Baumeister J and Reinhardt H J 1987 On the approximate solution of a two-dimensional inverse heat conduction problem Inverse and Ill-posed Problems ed H G Engl and C W Groetsch (Orlando, FL: Academic) pp 325-44
    • (1987) Inverse and Ill-posed Problems , pp. 325-344
    • Baumeister, J.1    Reinhardt, H.J.2
  • 3
    • 49849108428 scopus 로고
    • Nonlinear estimation applied to the nonlinear inverse heat conduction problem
    • Beck J V 1970 Nonlinear estimation applied to the nonlinear inverse heat conduction problem Int. J. Heat Mass Transfer 13 703-16
    • (1970) Int. J. Heat Mass Transfer , vol.13 , Issue.4 , pp. 703-716
    • Beck, J.V.1
  • 4
    • 0020142847 scopus 로고
    • Determining surface temperature from interior observations
    • Carasso A S 1982 Determining surface temperature from interior observations SIAM J. Appl. Math. 42 558-74
    • (1982) SIAM J. Appl. Math. , vol.42 , Issue.3 , pp. 558-574
    • Carasso, A.S.1
  • 5
    • 0001124680 scopus 로고
    • Approximations for a Cauchy problem for the heat equation
    • Eldén L 1987 Approximations for a Cauchy problem for the heat equation Inverse Problems 3 263-73
    • (1987) Inverse Problems , vol.3 , Issue.2 , pp. 263-273
    • Eldén, L.1
  • 6
    • 0002097087 scopus 로고
    • Hyperbolic approximations for a Cauchy problem for the heat equation
    • Eldén L 1988 Hyperbolic approximations for a Cauchy problem for the heat equation Inverse Problems 4 59-71
    • (1988) Inverse Problems , vol.4 , Issue.1 , pp. 59-71
    • Eldén, L.1
  • 7
    • 0000713516 scopus 로고
    • Numerical solution of the sideways heat equation by difference approximation in time
    • Eldén L 1995 Numerical solution of the sideways heat equation by difference approximation in time Inverse Problems 11 913-23
    • (1995) Inverse Problems , vol.11 , Issue.4 , pp. 913-923
    • Eldén, L.1
  • 8
    • 0034505550 scopus 로고    scopus 로고
    • Wavelet and Fourier methods for solving the sideways heat equation
    • Eldén L, Berntsson F and Regińska T 2000 Wavelet and Fourier methods for solving the sideways heat equation SIAM J. Sci. Comput. 21 2187-205
    • (2000) SIAM J. Sci. Comput. , vol.21 , Issue.6 , pp. 2187-2205
    • Eldén, L.1    Berntsson, F.2    Regińska, T.3
  • 9
    • 2442703875 scopus 로고    scopus 로고
    • Simplied Tikhonov and Fourier regularization methods on a general sideways parabolic equation
    • Fu C-L 2004 Simplied Tikhonov and Fourier regularization methods on a general sideways parabolic equation J. Comput. Appl. Math. 167 449-63
    • (2004) J. Comput. Appl. Math. , vol.167 , Issue.2 , pp. 449-463
    • Fu, C.-L.1
  • 10
    • 0002547597 scopus 로고
    • A mollified space marching finite algorithm for the inverse heat conduction problem with slab symmetry
    • Guo L, Murio D A and Roth C 1990 A mollified space marching finite algorithm for the inverse heat conduction problem with slab symmetry Comput. Math. Appl. 19 75-89
    • (1990) Comput. Math. Appl. , vol.19 , Issue.7 , pp. 75-89
    • Guo, L.1    Murio, D.A.2    Roth, C.3
  • 11
    • 0040757108 scopus 로고
    • A mollified space-marching finite-difference algorithm for the two-dimensional inverse heat conduction problem with slab symmetry
    • Guo L and Murio D A 1991 A mollified space-marching finite-difference algorithm for the two-dimensional inverse heat conduction problem with slab symmetry Inverse Problems 7 247-59
    • (1991) Inverse Problems , vol.7 , Issue.2 , pp. 247-259
    • Guo, L.1    Murio, D.A.2
  • 12
    • 21844517892 scopus 로고
    • A mollification method for ill-posed problems
    • Ho D N 1994 A mollification method for ill-posed problems Numer. Math. 68 469-506
    • (1994) Numer. Math. , vol.68 , Issue.4 , pp. 469-506
    • Ho, D.N.1
  • 14
    • 0016091381 scopus 로고
    • Temperature extrapolation mechanism for two-dimensional heat flow
    • Imber M 1974 Temperature extrapolation mechanism for two-dimensional heat flow AIAA J. 12 1089-93
    • (1974) AIAA J. , vol.12 , Issue.8 , pp. 1089-1093
    • Imber, M.1
  • 17
    • 0040647495 scopus 로고    scopus 로고
    • Numerical experiments in 2-D IHCP on bounded domains: Part 1. the 'interior' cube problem
    • Liu L and Murio D A 1996 Numerical experiments in 2-D IHCP on bounded domains: part 1. the 'interior' cube problem Comput. Math. Appl. 31 15-32
    • (1996) Comput. Math. Appl. , vol.31 , Issue.1 , pp. 15-32
    • Liu, L.1    Murio, D.A.2
  • 18
    • 84968490731 scopus 로고
    • A well posed problem for the backward heat equation
    • Miranker W L 1961 A well posed problem for the backward heat equation Proc. Am. Math. Soc. 12 243-7
    • (1961) Proc. Am. Math. Soc. , vol.12 , Issue.2 , pp. 243-247
    • Miranker, W.L.1
  • 19
    • 0024863867 scopus 로고
    • The mollification method and the numerical solution of the inverse heat conduction problem by finite differences
    • Murio D A 1989 The mollification method and the numerical solution of the inverse heat conduction problem by finite differences Comput. Math. Appl. 17 1385-96
    • (1989) Comput. Math. Appl. , vol.17 , Issue.10 , pp. 1385-1396
    • Murio, D.A.1
  • 21
    • 33646082980 scopus 로고    scopus 로고
    • Fourth-order modified method for the Cauchy problem for the Laplace equation
    • Qian Z, Fu C-L and Xiong X-T 2006 Fourth-order modified method for the Cauchy problem for the Laplace equation J. Comput. Appl. Math. 192 205-18
    • (2006) J. Comput. Appl. Math. , vol.192 , Issue.2 , pp. 205-218
    • Qian, Z.1    Fu, C.-L.2    Xiong, X.-T.3
  • 22
    • 33748967948 scopus 로고    scopus 로고
    • A modified method for a non-standard inverse heat conduction problem
    • Qian Z, Fu C-L and Xiong X-T 2006 A modified method for a non-standard inverse heat conduction problem Appl. Math. Comput. 180 453-68
    • (2006) Appl. Math. Comput. , vol.180 , Issue.2 , pp. 453-468
    • Qian, Z.1    Fu, C.-L.2    Xiong, X.-T.3
  • 23
    • 33744543954 scopus 로고    scopus 로고
    • Approximate solution of a Cauchy problem for the Helmholtz equation
    • Regińska T and Regiński K 2006 Approximate solution of a Cauchy problem for the Helmholtz equation Inverse Problems 22 975-89
    • (2006) Inverse Problems , vol.22 , Issue.3 , pp. 975-989
    • Regińska, T.1    Regiński, K.2
  • 24
    • 27644472267 scopus 로고    scopus 로고
    • Nonhomogeneous heat equation: Identification and regularization for the inhomogeneous term
    • Trong D D, Long N T and Dinh Alain P N 2005 Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term J. Math. Anal. Appl. 312 93-104
    • (2005) J. Math. Anal. Appl. , vol.312 , Issue.1 , pp. 93-104
    • Trong, D.D.1    Long, N.T.2    Dinh Alain, P.N.3
  • 25
    • 33644865296 scopus 로고    scopus 로고
    • Determination of a two-dimensional heat source: Uniqueness, regularization and error estimate
    • Trong D D, Quana P H and Dinh Alain P N 2006 Determination of a two-dimensional heat source: uniqueness, regularization and error estimate J. Comput. Appl. Math. 191 50-67
    • (2006) J. Comput. Appl. Math. , vol.191 , Issue.1 , pp. 50-67
    • Trong, D.D.1    Quana, P.H.2    Dinh Alain, P.N.3
  • 26
    • 34249726802 scopus 로고
    • Solution of inverse heat conduction problems using a combined function specification and regularization method and a direct finite element solver
    • Tu J S and Beck J V 1989 Solution of inverse heat conduction problems using a combined function specification and regularization method and a direct finite element solver Proc. 2nd Ann. Inverse Problems in Engineering Seminar ed J V Beck (East Lansing, MI: College of Engineering, Michigan State University) pp 1-25
    • (1989) Proc. 2nd Ann. Inverse Problems in Engineering Seminar , pp. 1-25
    • Tu, J.S.1    Beck, J.V.2    Beck, J.V.3
  • 27
    • 0019636156 scopus 로고
    • Analysis and solution of the ill-posed inverse conduction problem
    • Weber C F 1981 Analysis and solution of the ill-posed inverse conduction problem Int. J. Heat Mass Transfer 24 1783-92
    • (1981) Int. J. Heat Mass Transfer , vol.24 , Issue.11 , pp. 1783-1792
    • Weber, C.F.1
  • 28
    • 0022162329 scopus 로고
    • Inverse heat conduction problem by finite element formulation
    • Yoshimura T and Ikuta K 1985 Inverse heat conduction problem by finite element formulation Int. J. Syst. Sci. 16 1365-76
    • (1985) Int. J. Syst. Sci. , vol.16 , Issue.11 , pp. 1365-1376
    • Yoshimura, T.1    Ikuta, K.2
  • 29
    • 0024035062 scopus 로고
    • An analysis of two-dimensional linear inverse heat transfer problems using an integral method
    • Zabaras N and Liu J C 1988 An analysis of two-dimensional linear inverse heat transfer problems using an integral method Numer. Heat Transfer 13 527-33
    • (1988) Numer. Heat Transfer , vol.13 , Issue.4 , pp. 527-533
    • Zabaras, N.1    Liu, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.