메뉴 건너뛰기




Volumn 37, Issue 2, 2010, Pages 121-124

Application of the method of fundamental solutions and radial basis functions for inverse heat source problem in case of steady-state

Author keywords

Heat sources; Inverse problem; Method of fundamental solutions; Poisson equation; Radial basis functions

Indexed keywords

ANALYTICAL SOLUTIONS; HEAT CONDUCTION PROBLEMS; HEAT SOURCES; METHOD OF FUNDAMENTAL SOLUTIONS; RADIAL BASIS FUNCTIONS; RIGHT-HAND SIDES; TEST PROBLEM;

EID: 72449184865     PISSN: 07351933     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.icheatmasstransfer.2009.09.015     Document Type: Article
Times cited : (39)

References (29)
  • 1
    • 0024057211 scopus 로고
    • Method of inverse dynamic system and its application for recording interval heat sources
    • Borukhov V.T., and Kolesnikov P.M. Method of inverse dynamic system and its application for recording interval heat sources. International Journal of Heat and Mass Transfer 31 8 (1988) 1549-1555
    • (1988) International Journal of Heat and Mass Transfer , vol.31 , Issue.8 , pp. 1549-1555
    • Borukhov, V.T.1    Kolesnikov, P.M.2
  • 2
    • 0026897419 scopus 로고
    • Inverse problem of determining the unknown strength of an internal plate heat source
    • Huang C.H., and Ozisik M.N. Inverse problem of determining the unknown strength of an internal plate heat source. Journal of Franklin Institute 329 4 (1992) 751-764
    • (1992) Journal of Franklin Institute , vol.329 , Issue.4 , pp. 751-764
    • Huang, C.H.1    Ozisik, M.N.2
  • 3
    • 0001703830 scopus 로고
    • Two dimensional inverse heat conduction problem of estimating the time-varying strengths of line heat sources
    • Silva Neto A.J., and Ozisik M.N. Two dimensional inverse heat conduction problem of estimating the time-varying strengths of line heat sources. Journal of Applied Physics 71 11 (1992) 5357-5362
    • (1992) Journal of Applied Physics , vol.71 , Issue.11 , pp. 5357-5362
    • Silva Neto, A.J.1    Ozisik, M.N.2
  • 4
    • 5244324280 scopus 로고
    • Inverse problem of simultaneously estimating the time-varying strengths of two plane heat sources
    • Silva Neto A.J., and Ozisik M.N. Inverse problem of simultaneously estimating the time-varying strengths of two plane heat sources. Journal of Applied Physics 73 5 (1993) 2132-2137
    • (1993) Journal of Applied Physics , vol.73 , Issue.5 , pp. 2132-2137
    • Silva Neto, A.J.1    Ozisik, M.N.2
  • 5
    • 0027831267 scopus 로고
    • Simultaneous estimation of location and timewise varying of a plane heat source
    • Silva Neto A.J., and Ozisik M.N. Simultaneous estimation of location and timewise varying of a plane heat source. Journal Numerical Heat Transfer, Part A 24 4 (1993) 467-477
    • (1993) Journal Numerical Heat Transfer, Part A , vol.24 , Issue.4 , pp. 467-477
    • Silva Neto, A.J.1    Ozisik, M.N.2
  • 6
    • 0028417308 scopus 로고
    • The estimation of space and time dependent strength of a volumetric heat source in a one-dimensional plate
    • Silva Neto A.J., and Ozisik M.N. The estimation of space and time dependent strength of a volumetric heat source in a one-dimensional plate. International Journal of Heat and Mass Transfer 37 6 (1994) 909-915
    • (1994) International Journal of Heat and Mass Transfer , vol.37 , Issue.6 , pp. 909-915
    • Silva Neto, A.J.1    Ozisik, M.N.2
  • 7
    • 0030450645 scopus 로고    scopus 로고
    • Inverse determination of boundary conditions and source in steady heat conduction with heat generation
    • Martin T.J., and Dulikravich G.S. Inverse determination of boundary conditions and source in steady heat conduction with heat generation. Journal of Heat Transfer 118 3 (1996) 546-554
    • (1996) Journal of Heat Transfer , vol.118 , Issue.3 , pp. 546-554
    • Martin, T.J.1    Dulikravich, G.S.2
  • 8
    • 0001634697 scopus 로고    scopus 로고
    • Structural identification of an unknown source term in heat equation
    • Cannon J.R., and Duchateau P. Structural identification of an unknown source term in heat equation. Inverse Problems 14 3 (1998) 535-551
    • (1998) Inverse Problems , vol.14 , Issue.3 , pp. 535-551
    • Cannon, J.R.1    Duchateau, P.2
  • 9
    • 0031974898 scopus 로고    scopus 로고
    • Solving the two-dimensional inverse heat source problem through the linear least-squares error method
    • Yang C.-Y. Solving the two-dimensional inverse heat source problem through the linear least-squares error method. International Journal of Heat and Mass Transfer 41 2 (1998) 393-398
    • (1998) International Journal of Heat and Mass Transfer , vol.41 , Issue.2 , pp. 393-398
    • Yang, C.-Y.1
  • 10
    • 0032124589 scopus 로고    scopus 로고
    • A sequential method to estimate the strength of the heat source based on symbolic computation
    • Yang C.-Y. A sequential method to estimate the strength of the heat source based on symbolic computation. International Journal of Heat and Mass Transfer 41 14 (1998) 2245-2252
    • (1998) International Journal of Heat and Mass Transfer , vol.41 , Issue.14 , pp. 2245-2252
    • Yang, C.-Y.1
  • 11
    • 0032044801 scopus 로고    scopus 로고
    • The boundary element method for the time varying strength estimation of point sources: application to a two-dimensional diffusion system
    • Le Niliot C. The boundary element method for the time varying strength estimation of point sources: application to a two-dimensional diffusion system. Numerical Heat Transfer, Part B 33 3 (1998) 301-321
    • (1998) Numerical Heat Transfer, Part B , vol.33 , Issue.3 , pp. 301-321
    • Le Niliot, C.1
  • 12
    • 0344197115 scopus 로고    scopus 로고
    • The determination of two heat source in an inverse heat conduction problem
    • Yang C.-Y. The determination of two heat source in an inverse heat conduction problem. International Journal of Heat and Mass Transfer 42 2 (1999) 345-356
    • (1999) International Journal of Heat and Mass Transfer , vol.42 , Issue.2 , pp. 345-356
    • Yang, C.-Y.1
  • 13
    • 0035931833 scopus 로고    scopus 로고
    • Determination of heat source and heat transfer coefficient for two-dimensional heat flow-numerical and experimental study
    • Khachfe R.A., and Jarny Y. Determination of heat source and heat transfer coefficient for two-dimensional heat flow-numerical and experimental study. International Journal of Heat and Mass Transfer 44 7 (2001) 1309-1322
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , Issue.7 , pp. 1309-1322
    • Khachfe, R.A.1    Jarny, Y.2
  • 14
    • 0035931816 scopus 로고    scopus 로고
    • A method for multiple steady line heat sources identification in a diffusive system: application to an experimental 2D problem
    • Le Niliot C., and Lefevre F. A method for multiple steady line heat sources identification in a diffusive system: application to an experimental 2D problem. International Journal of Heat and Mass Transfer 44 7 (2001) 1425-1438
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , Issue.7 , pp. 1425-1438
    • Le Niliot, C.1    Lefevre, F.2
  • 15
    • 18044405048 scopus 로고    scopus 로고
    • Multiple transient point heat sources identification in heat diffusion: Application to numerical 2D and 3D problems
    • [15] C. Le Niliot, F. Lefevre, Multiple transient point heat sources identification in heat diffusion: application to numerical 2D and 3D problems, Numerical Heat Transfer, Part B 39 (3) (2001) 277-303. 1521-0626.
    • (2001) Numerical Heat Transfer, Part B , vol.39 , Issue.3
    • Le Niliot, C.1    Lefevre, F.2
  • 16
    • 0035477284 scopus 로고    scopus 로고
    • Two-dimensional inverse heat conduction problem of source strength estimation in cylindrical rods
    • Su J., and Silva-Neto A.J. Two-dimensional inverse heat conduction problem of source strength estimation in cylindrical rods. Applied Mathematical Modeling 25 10 (2001) 861-872
    • (2001) Applied Mathematical Modeling , vol.25 , Issue.10 , pp. 861-872
    • Su, J.1    Silva-Neto, A.J.2
  • 17
    • 0035576594 scopus 로고    scopus 로고
    • Simultaneous space diffusivity and source term reconstruction in 2D IHCP
    • Coles C., and Murio D.A. Simultaneous space diffusivity and source term reconstruction in 2D IHCP. Computers & Mathematics with Applications 42 12 (2001) 1549-1564
    • (2001) Computers & Mathematics with Applications , vol.42 , Issue.12 , pp. 1549-1564
    • Coles, C.1    Murio, D.A.2
  • 18
    • 0037017617 scopus 로고    scopus 로고
    • Multiple transient point heat source identification in heat diffusion: application to experimental 2D problems
    • Lefevre F., and Le Niliot C. Multiple transient point heat source identification in heat diffusion: application to experimental 2D problems. International Journal of Heat and Mass Transfer 45 9 (2002) 1951-1964
    • (2002) International Journal of Heat and Mass Transfer , vol.45 , Issue.9 , pp. 1951-1964
    • Lefevre, F.1    Le Niliot, C.2
  • 19
    • 0036268346 scopus 로고    scopus 로고
    • The BEM for point heat sources estimation: application to multiple static sources and moving sources
    • Lefevre F., and Le Niliot C. The BEM for point heat sources estimation: application to multiple static sources and moving sources. International Journal of Thermal Science 41 6 (2002) 536-545
    • (2002) International Journal of Thermal Science , vol.41 , Issue.6 , pp. 536-545
    • Lefevre, F.1    Le Niliot, C.2
  • 20
    • 0037086937 scopus 로고    scopus 로고
    • Numerical procedure for the determination of an unknown coefficients in parabolic equations
    • Fatullayev G. Numerical procedure for the determination of an unknown coefficients in parabolic equations. Computer Physics Communications 144 1 (2002) 29-33
    • (2002) Computer Physics Communications , vol.144 , Issue.1 , pp. 29-33
    • Fatullayev, G.1
  • 21
    • 9644281094 scopus 로고    scopus 로고
    • Source term identification in 1-d IHCP
    • Yi Zh., and Murio D.A. Source term identification in 1-d IHCP. Computers Mathematical Applied 47 12 (2004) 1921-1933
    • (2004) Computers Mathematical Applied , vol.47 , Issue.12 , pp. 1921-1933
    • Yi, Zh.1    Murio, D.A.2
  • 22
    • 28644441862 scopus 로고    scopus 로고
    • The determination of two moving sources in two-dimensional inverse heat problem
    • Yang C.-Y. The determination of two moving sources in two-dimensional inverse heat problem. Applied Mathematical Modeling 30 3 (2006) 278-292
    • (2006) Applied Mathematical Modeling , vol.30 , Issue.3 , pp. 278-292
    • Yang, C.-Y.1
  • 23
    • 29944442727 scopus 로고    scopus 로고
    • Inverse determination of heat generation sources in two-dimensional homogeneous solids: application to orthotropic medium
    • Zueco J., Alhama F., and Gonzalez Fernandez C.F. Inverse determination of heat generation sources in two-dimensional homogeneous solids: application to orthotropic medium. International Communications in Heat and Mass Transfer 33 1 (2006) 49-55
    • (2006) International Communications in Heat and Mass Transfer , vol.33 , Issue.1 , pp. 49-55
    • Zueco, J.1    Alhama, F.2    Gonzalez Fernandez, C.F.3
  • 24
    • 33746288650 scopus 로고    scopus 로고
    • Identification of source locations in two-dimensional heat equations
    • Ling L., Yamamoto M., Hon Y.C., and Takeuchi T. Identification of source locations in two-dimensional heat equations. Inverse Problem 22 4 (2006) 1289-1305
    • (2006) Inverse Problem , vol.22 , Issue.4 , pp. 1289-1305
    • Ling, L.1    Yamamoto, M.2    Hon, Y.C.3    Takeuchi, T.4
  • 25
    • 34547877643 scopus 로고    scopus 로고
    • The estimation of the strength of the heat source in the heat conduction problems
    • Lin D.T.W., and Yang C.-Y. The estimation of the strength of the heat source in the heat conduction problems. Applied Mathematical Modelling 31 12 (2007) 2696-2710
    • (2007) Applied Mathematical Modelling , vol.31 , Issue.12 , pp. 2696-2710
    • Lin, D.T.W.1    Yang, C.-Y.2
  • 26
    • 33751243604 scopus 로고    scopus 로고
    • Experimental inverse analysis for the determination of boundary conditions in the parallel hot wire technique
    • Fguiri, Daouas N., Borjini N., Radhouani M.-S., and Aissia H.B. Experimental inverse analysis for the determination of boundary conditions in the parallel hot wire technique. Experimental Thermal and Fluid Science 31 3 (2007) 209-220
    • (2007) Experimental Thermal and Fluid Science , vol.31 , Issue.3 , pp. 209-220
    • Fguiri1    Daouas, N.2    Borjini, N.3    Radhouani, M.-S.4    Aissia, H.B.5
  • 27
    • 33846990077 scopus 로고    scopus 로고
    • The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction
    • Jin B., and Marin L. The method of fundamental solutions for inverse source problems associated with the steady-state heat conduction. International Journal for Numerical Methods in Engineering 69 8 (2007) 1570-1589
    • (2007) International Journal for Numerical Methods in Engineering , vol.69 , Issue.8 , pp. 1570-1589
    • Jin, B.1    Marin, L.2
  • 28
    • 38349149734 scopus 로고    scopus 로고
    • The method of fundamental solutions for the inverse heat source problem
    • Yan L., Fu C.-L., and Yang F.-L. The method of fundamental solutions for the inverse heat source problem. Engineering Analysis with Boundary Elements 32 3 (2008) 216-222
    • (2008) Engineering Analysis with Boundary Elements , vol.32 , Issue.3 , pp. 216-222
    • Yan, L.1    Fu, C.-L.2    Yang, F.-L.3
  • 29
    • 55549138009 scopus 로고    scopus 로고
    • A meshless method for solving an inverse spacewise-dependent heat source problem
    • Yan L., Yang F.-L., and Fu C.-L. A meshless method for solving an inverse spacewise-dependent heat source problem. Journal of Computational Physics 228 1 (2009) 123-136
    • (2009) Journal of Computational Physics , vol.228 , Issue.1 , pp. 123-136
    • Yan, L.1    Yang, F.-L.2    Fu, C.-L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.