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Volumn 7, Issue 2, 2008, Pages 81-95

An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient

Author keywords

Inverse problem; Lie group estimation method; Parameter identification; Time dependent heat conductivity

Indexed keywords

HEAT CONDUCTION; INVERSE PROBLEMS; PARAMETER ESTIMATION; THERMAL CONDUCTIVITY;

EID: 46449098515     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (26)

References (34)
  • 2
    • 85048674672 scopus 로고    scopus 로고
    • Chang, C. W; Chang, J. R.; Liu, C.-S. (2006): The Lie-group shooting method for boundary layer equations in fluid mechanics. J. Hydrodynamics, 18, Issue 3, Supplement 1, pp. 103-108.
    • Chang, C. W; Chang, J. R.; Liu, C.-S. (2006): The Lie-group shooting method for boundary layer equations in fluid mechanics. J. Hydrodynamics, vol. 18, Issue 3, Supplement 1, pp. 103-108.
  • 4
    • 33847712471 scopus 로고    scopus 로고
    • A new shooting method for quasi-boundary regularization of backward heat conduction problems
    • Chang, J. R.; Liu, C.-S.; Chang, C. W. (2007a): A new shooting method for quasi-boundary regularization of backward heat conduction problems. Int. J. Heat Mass Transf., vol. 50, pp. 2325-2332.
    • (2007) Int. J. Heat Mass Transf , vol.50 , pp. 2325-2332
    • Chang, J.R.1    Liu, C.-S.2    Chang, C.W.3
  • 5
    • 41649104311 scopus 로고    scopus 로고
    • The Lie-group shooting method for quasi-boundary regularization of backward heat conduction problems
    • Chang, C. W.; Liu, C.-S.; Chang, J. R. (2007b): The Lie-group shooting method for quasi-boundary regularization of backward heat conduction problems. ICCES on line Journal, vol. 3, pp. 69-79.
    • (2007) ICCES on line Journal , vol.3 , pp. 69-79
    • Chang, C.W.1    Liu, C.-S.2    Chang, J.R.3
  • 6
    • 0041405522 scopus 로고    scopus 로고
    • Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method
    • Chao, R. M.; Chen, Y. J.; Lin, F. C. (2001): Determining the unknown traction of a cracked elastic body using the inverse technique with the dual boundary element method. CMES: Computer Modeling in Engineering & Sciences, vol. 2, pp. 73-85.
    • (2001) CMES: Computer Modeling in Engineering & Sciences , vol.2 , pp. 73-85
    • Chao, R.M.1    Chen, Y.J.2    Lin, F.C.3
  • 7
    • 18744412104 scopus 로고    scopus 로고
    • Identification of a time dependent coefficient in a partial differential equation subject to an extra measurement
    • Dehghan, M. (2005): Identification of a time dependent coefficient in a partial differential equation subject to an extra measurement. Numer. Meth. Partial Diff. Eq., vol. 21, pp. 611-622.
    • (2005) Numer. Meth. Partial Diff. Eq , vol.21 , pp. 611-622
    • Dehghan, M.1
  • 8
    • 34548534791 scopus 로고    scopus 로고
    • The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data
    • Dehghan, M.; Tatari, M. (2007): The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data. Numer. Meth. Partial Diff. Eq., vol. 23, pp. 984-997.
    • (2007) Numer. Meth. Partial Diff. Eq , vol.23 , pp. 984-997
    • Dehghan, M.1    Tatari, M.2
  • 10
    • 35348936727 scopus 로고    scopus 로고
    • An inverse problem in estimating simultaneously the time-dependent applied force and moment of an Euler-Bernoulli beam
    • Huang, C. H.; Shih, C. C. (2007): An inverse problem in estimating simultaneously the time-dependent applied force and moment of an Euler-Bernoulli beam. CMES: Computer Modeling in Engineering & Sciences, vol. 21, pp. 239-254.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.21 , pp. 239-254
    • Huang, C.H.1    Shih, C.C.2
  • 11
    • 0031257783 scopus 로고    scopus 로고
    • Estimation of thermal conductivity of thermoplastics under moulding conditions: An apparatus and an inverse algorithm
    • Jurkowski, T.; Jarny, Y.; Delaunay, D. (1997): Estimation of thermal conductivity of thermoplastics under moulding conditions: an apparatus and an inverse algorithm. Int. J. Heat Mass Transf, vol. 40, pp. 4169-4181.
    • (1997) Int. J. Heat Mass Transf , vol.40 , pp. 4169-4181
    • Jurkowski, T.1    Jarny, Y.2    Delaunay, D.3
  • 12
    • 0031249983 scopus 로고    scopus 로고
    • Time-varying heat transfer coefficients between tube-shaped casting and metal mold
    • Kim, T.; Lee, Z. (1997): Time-varying heat transfer coefficients between tube-shaped casting and metal mold. Int. J. Heat Mass Transf., vol. 40, pp. 3513-3525.
    • (1997) Int. J. Heat Mass Transf , vol.40 , pp. 3513-3525
    • Kim, T.1    Lee, Z.2
  • 13
    • 0035480574 scopus 로고    scopus 로고
    • Cone of non-linear dynamical system and group preserving schemes
    • Liu, C.-S. (2001): Cone of non-linear dynamical system and group preserving schemes. Int. J. Non-Linear Mech., vol. 36, pp. 1047-1068.
    • (2001) Int. J. Non-Linear Mech , vol.36 , pp. 1047-1068
    • Liu, C.-S.1
  • 14
    • 1842534840 scopus 로고    scopus 로고
    • Group preserving scheme for backward heat conduction problems
    • Liu, C.-S. (2004): Group preserving scheme for backward heat conduction problems. Int. J. Heat Mass Transf, vol. 47, pp. 2567-2576.
    • (2004) Int. J. Heat Mass Transf , vol.47 , pp. 2567-2576
    • Liu, C.-S.1
  • 15
    • 33744980037 scopus 로고    scopus 로고
    • The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions
    • Liu, C.-S. (2006a): The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. CMES: Computer Modeling in Engineering & Sciences, vol. 13, pp. 149-163.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.13 , pp. 149-163
    • Liu, C.-S.1
  • 16
    • 33845426680 scopus 로고    scopus 로고
    • Efficient shooting methods for the second order ordinary differential equations
    • Liu, C.-S. (2006b): Efficient shooting methods for the second order ordinary differential equations. CMES: Computer Modeling in Engineering & Sciences, vol. 15, pp. 69-86.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , pp. 69-86
    • Liu, C.-S.1
  • 17
    • 33845427623 scopus 로고    scopus 로고
    • The Lie-group shooting method for singularly perturbed two-point boundary value problems
    • Liu, C.-S. (2006c): The Lie-group shooting method for singularly perturbed two-point boundary value problems. CMES: Computer Modeling in Engineering & Sciences, vol. 15, pp. 179-196.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , pp. 179-196
    • Liu, C.-S.1
  • 18
    • 33646834641 scopus 로고    scopus 로고
    • An efficient backward group preserving scheme for the backward in time Burgers equation
    • Liu, C.-S. (2006d): An efficient backward group preserving scheme for the backward in time Burgers equation. CMES: Computer Modeling in Engineering & Sciences, vol. 12, pp. 55-65.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , pp. 55-65
    • Liu, C.-S.1
  • 19
    • 33745158930 scopus 로고    scopus 로고
    • One-step GPS for the estimation of temperature-dependent thermal conductivity
    • Liu, C.-S. (2006e): One-step GPS for the estimation of temperature-dependent thermal conductivity. Int. J. Heat Mass Transf, vol. 49, pp. 3084-3093.
    • (2006) Int. J. Heat Mass Transf , vol.49 , pp. 3084-3093
    • Liu, C.-S.1
  • 20
    • 33749838645 scopus 로고    scopus 로고
    • An efficient simultaneous estimation of temperature-dependent thermophysical properties
    • Liu, C.-S. (2006f): An efficient simultaneous estimation of temperature-dependent thermophysical properties. CMES: Computer Modeling in Engineering & Sciences, vol. 14, pp. 77-90.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.14 , pp. 77-90
    • Liu, C.-S.1
  • 21
    • 33847748098 scopus 로고    scopus 로고
    • Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data
    • Liu, C.-S. (2007): Identification of temperature-dependent thermophysical properties in a partial differential equation subject to extra final measurement data. Numer. Meth. Partial Diff. Eq., vol. 23, pp. 1083-1109.
    • (2007) Numer. Meth. Partial Diff. Eq , vol.23 , pp. 1083-1109
    • Liu, C.-S.1
  • 22
    • 41649113492 scopus 로고    scopus 로고
    • An LGSM to identify non-homogeneous heat conductivity functions by an extra measurement of temperature
    • Liu, C.-S. (2008a): An LGSM to identify non-homogeneous heat conductivity functions by an extra measurement of temperature. Int. J. Heat Mass Transf., vol. 51, pp. 2603-2613.
    • (2008) Int. J. Heat Mass Transf , vol.51 , pp. 2603-2613
    • Liu, C.-S.1
  • 23
    • 43049107224 scopus 로고    scopus 로고
    • Solving an inverse SturmLiouville problem by a Lie-group method
    • Article ID
    • Liu, C.-S. (2008b): Solving an inverse SturmLiouville problem by a Lie-group method. Boundary Value Prob., vol. 2008, Article ID 749865.
    • (2008) Boundary Value Prob , vol.2008 , pp. 749865
    • Liu, C.-S.1
  • 24
    • 46449129207 scopus 로고    scopus 로고
    • Identifying time-dependent damping and stiffness functions by a simple and yet accurate method
    • on-line available
    • Liu, C.-S. (2008c): Identifying time-dependent damping and stiffness functions by a simple and yet accurate method. J. Sound Vibration, on-line available.
    • (2008) J. Sound Vibration
    • Liu, C.-S.1
  • 25
    • 33646850601 scopus 로고    scopus 로고
    • Past cone dynamics and backward group preserving schemes for backward heat conduction problems
    • Liu, C.-S.; Chang, C. W.; Chang, J. R. (2006a): Past cone dynamics and backward group preserving schemes for backward heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol. 12, pp. 67-81.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.12 , pp. 67-81
    • Liu, C.-S.1    Chang, C.W.2    Chang, J.R.3
  • 26
    • 34247192435 scopus 로고    scopus 로고
    • Liu, C.-S.; Chang, C. W; Chang, J. R. (2006b): The Lie-group shooting method for steady-state Burgers equation with high Reynolds number. J. Hydrodynamics, 18, Issue 3, Supplement 1, pp. 367-372.
    • Liu, C.-S.; Chang, C. W; Chang, J. R. (2006b): The Lie-group shooting method for steady-state Burgers equation with high Reynolds number. J. Hydrodynamics, vol. 18, Issue 3, Supplement 1, pp. 367-372.
  • 27
    • 33847717501 scopus 로고    scopus 로고
    • Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problem
    • Liu, C.-S.; Liu, L. W.; Hong, H.-K. (2007): Highly accurate computation of spatial-dependent heat conductivity and heat capacity in inverse thermal problem. CMES: Computer Modeling in Engineering & Sciences, vol. 17, pp. 1-18.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.17 , pp. 1-18
    • Liu, C.-S.1    Liu, L.W.2    Hong, H.-K.3
  • 28
    • 0000175738 scopus 로고
    • Parameter identification for an elliptic partial differential equation with distributed noisy data
    • Luce, R.; Perez, D. (1995): Parameter identification for an elliptic partial differential equation with distributed noisy data. Inverse Problems, vol. 15, pp. 291-307.
    • (1995) Inverse Problems , vol.15 , pp. 291-307
    • Luce, R.1    Perez, D.2
  • 31
    • 33846299260 scopus 로고    scopus 로고
    • Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method
    • Shamsi, M.; Dehghan, M. (2007): Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method. Numer. Meth. Partial Diff. Eq., vol. 23, pp. 196-210.
    • (2007) Numer. Meth. Partial Diff. Eq , vol.23 , pp. 196-210
    • Shamsi, M.1    Dehghan, M.2
  • 32
    • 84902891598 scopus 로고
    • Numerical solutions to an inverse problem of heat conduction for simple shapes
    • Stolz, G. (1960): Numerical solutions to an inverse problem of heat conduction for simple shapes. J. Heat Transf., vol. 82, pp. 20-26.
    • (1960) J. Heat Transf , vol.82 , pp. 20-26
    • Stolz, G.1
  • 33
    • 2542447109 scopus 로고    scopus 로고
    • Inverse heat conduction problem of estimating time-varying heat transfer coefficient
    • Su, J.; Hewitt, G. F. (2004): Inverse heat conduction problem of estimating time-varying heat transfer coefficient. Num. Heat Transf., Part A, vol. 45, pp. 777-789.
    • (2004) Num. Heat Transf., Part A , vol.45 , pp. 777-789
    • Su, J.1    Hewitt, G.F.2
  • 34
    • 0041657673 scopus 로고    scopus 로고
    • An inverse problem to estimate temperature dependent heat capacity under convection processes
    • Zueco, J.; Alhama, F.; González-Fernández, C. F. (2003): An inverse problem to estimate temperature dependent heat capacity under convection processes. Heat Mass Transf., vol. 39, pp. 599-604.
    • (2003) Heat Mass Transf , vol.39 , pp. 599-604
    • Zueco, J.1    Alhama, F.2    González-Fernández, C.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.