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Volumn 33, Issue 12, 2009, Pages 1362-1367

A method of fundamental solutions for transient heat conduction in layered materials

Author keywords

Heat conduction; Layered materials; Method of fundamental solutions

Indexed keywords

HEAT FLOWS; LAYERED MATERIAL; LAYERED MATERIALS; METHOD OF FUNDAMENTAL SOLUTIONS; NUMERICAL INVESTIGATIONS; PIECEWISE CONSTANT; SPACE DOMAIN; TRANSIENT HEAT CONDUCTION;

EID: 69249222500     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2009.04.014     Document Type: Article
Times cited : (47)

References (30)
  • 1
    • 16244373690 scopus 로고    scopus 로고
    • A new method of fundamental solutions applied to nonhomogeneous elliptic problems
    • Alves C.J.S., and Chen C.S. A new method of fundamental solutions applied to nonhomogeneous elliptic problems. Adv Comput Math 23 (2005) 125-142
    • (2005) Adv Comput Math , vol.23 , pp. 125-142
    • Alves, C.J.S.1    Chen, C.S.2
  • 2
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM J Numer Anal 22 (1985) 644-669
    • (1985) SIAM J Numer Anal , vol.22 , pp. 644-669
    • Bogomolny, A.1
  • 4
    • 33645461386 scopus 로고    scopus 로고
    • Methods of fundamental solutions for time-dependent heat conduction problems
    • Chantasiriwan S. Methods of fundamental solutions for time-dependent heat conduction problems. Int J Numer Methods Eng 66 (2006) 147-165
    • (2006) Int J Numer Methods Eng , vol.66 , pp. 147-165
    • Chantasiriwan, S.1
  • 5
    • 33646130396 scopus 로고    scopus 로고
    • Some comments on the ill-conditioning of the method of fundamental solutions
    • Chen C.S., Cho H.A., and Golberg M.A. Some comments on the ill-conditioning of the method of fundamental solutions. Eng Anal Boundary Elem 30 (2006) 405-410
    • (2006) Eng Anal Boundary Elem , vol.30 , pp. 405-410
    • Chen, C.S.1    Cho, H.A.2    Golberg, M.A.3
  • 6
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather G., and Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv Comput Math 9 (1998) 69-95
    • (1998) Adv Comput Math , vol.9 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 7
    • 0031215135 scopus 로고    scopus 로고
    • The use of modified Green's functions in unsteady heat transfer
    • Feng Z.G., and Michaelides E.E. The use of modified Green's functions in unsteady heat transfer. Int J Heat Mass Transf 40 (1997) 2997-3002
    • (1997) Int J Heat Mass Transf , vol.40 , pp. 2997-3002
    • Feng, Z.G.1    Michaelides, E.E.2
  • 9
    • 0000776101 scopus 로고    scopus 로고
    • The method of fundamental solutions for potential, Helmholtz and diffusion problems
    • Goldberg M.A. (Ed), Comput. Mech. Publ., Southampton [chapter 4]
    • Golberg M.A., and Chen C.S. The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Goldberg M.A. (Ed). Boundary integral methods: numerical and mathematical aspects (1999), Comput. Mech. Publ., Southampton 103-176 [chapter 4]
    • (1999) Boundary integral methods: numerical and mathematical aspects , pp. 103-176
    • Golberg, M.A.1    Chen, C.S.2
  • 10
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • Hansen P.C. Analysis of discrete ill-posed problems by means of the L-curve. SIAM Rev 34 (1992) 561-580
    • (1992) SIAM Rev , vol.34 , pp. 561-580
    • Hansen, P.C.1
  • 11
    • 1842842972 scopus 로고    scopus 로고
    • A fundamental solution method for inverse heat conduction problems
    • Hon Y.C., and Wei T. A fundamental solution method for inverse heat conduction problems. Eng Anal Boundary Elem 28 (2004) 489-495
    • (2004) Eng Anal Boundary Elem , vol.28 , pp. 489-495
    • Hon, Y.C.1    Wei, T.2
  • 12
    • 0019084527 scopus 로고
    • Heat conduction in unsteady, periodic and steady states in laminated composites
    • Huang S.C., and Chang Y.P. Heat conduction in unsteady, periodic and steady states in laminated composites. J Heat Transf 102 (1980) 742-748
    • (1980) J Heat Transf , vol.102 , pp. 742-748
    • Huang, S.C.1    Chang, Y.P.2
  • 13
    • 47049117962 scopus 로고    scopus 로고
    • A method of fundamental solutions for transient heat conduction
    • Johansson B.T., and Lesnic D. A method of fundamental solutions for transient heat conduction. Eng Anal Boundary Elem 32 (2008) 697-703
    • (2008) Eng Anal Boundary Elem , vol.32 , pp. 697-703
    • Johansson, B.T.1    Lesnic, D.2
  • 14
    • 0008215313 scopus 로고
    • A method for the approximate solution of limiting problems in mathematical physics
    • Kupradze V.D. A method for the approximate solution of limiting problems in mathematical physics. USSR Comput Math Math Phys 4 (1964) 199-205
    • (1964) USSR Comput Math Math Phys , vol.4 , pp. 199-205
    • Kupradze, V.D.1
  • 16
    • 0029513517 scopus 로고
    • Treatment of singularities in time-dependent problems using the boundary element method
    • Lesnic D., Elliott L., and Ingham D.B. Treatment of singularities in time-dependent problems using the boundary element method. Eng Anal Boundary Elem 16 (1995) 65-70
    • (1995) Eng Anal Boundary Elem , vol.16 , pp. 65-70
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 17
    • 69249226278 scopus 로고    scopus 로고
    • The identification of piecewise homogeneous properties of rocks
    • Ingham D.B., and Wrobel L.C. (Eds), Comput. Mech. Publ., Southampton [chapter 9]
    • Lesnic D. The identification of piecewise homogeneous properties of rocks. In: Ingham D.B., and Wrobel L.C. (Eds). Boundary integral formulations for inverse analysis (1997), Comput. Mech. Publ., Southampton 237-257 [chapter 9]
    • (1997) Boundary integral formulations for inverse analysis , pp. 237-257
    • Lesnic, D.1
  • 18
    • 37049006091 scopus 로고    scopus 로고
    • Analytical modeling of one-dimensional diffusion in layered systems with position-dependent diffusion coefficients
    • Liu G., and Si B.C. Analytical modeling of one-dimensional diffusion in layered systems with position-dependent diffusion coefficients. Adv Water Resour 31 (2008) 251-268
    • (2008) Adv Water Resour , vol.31 , pp. 251-268
    • Liu, G.1    Si, B.C.2
  • 19
    • 12344271462 scopus 로고    scopus 로고
    • The method of fundamental solutions for the backward heat conduction problem
    • Mera N.S. The method of fundamental solutions for the backward heat conduction problem. Inverse Probl Sci Eng 13 (2005) 65-78
    • (2005) Inverse Probl Sci Eng , vol.13 , pp. 65-78
    • Mera, N.S.1
  • 20
    • 0020802986 scopus 로고
    • Diffusion in composite layers with automatic solution of the eigenvalue problem
    • Mikhailov M.D., Özisik M.N., and Vulchanov M.D. Diffusion in composite layers with automatic solution of the eigenvalue problem. Int J Heat Mass Transf 26 (1983) 1131-1141
    • (1983) Int J Heat Mass Transf , vol.26 , pp. 1131-1141
    • Mikhailov, M.D.1    Özisik, M.N.2    Vulchanov, M.D.3
  • 21
    • 0342757722 scopus 로고    scopus 로고
    • Transient heat conduction in one-dimensional composite slab. A natural approach
    • de Monte F. Transient heat conduction in one-dimensional composite slab. A natural approach. Int J Heat Mass Transf 43 (2000) 3607-3619
    • (2000) Int J Heat Mass Transf , vol.43 , pp. 3607-3619
    • de Monte, F.1
  • 22
    • 0037126967 scopus 로고    scopus 로고
    • An analytical approach to the unsteady heat conduction processes in one-dimensional composite media
    • de Monte F. An analytical approach to the unsteady heat conduction processes in one-dimensional composite media. Int J Heat Mass Transf 26 (2002) 1333-1343
    • (2002) Int J Heat Mass Transf , vol.26 , pp. 1333-1343
    • de Monte, F.1
  • 23
    • 0036860667 scopus 로고    scopus 로고
    • Method of fundamental solutions: singular value decomposition analysis
    • Ramachandran P.A. Method of fundamental solutions: singular value decomposition analysis. Commun Numer Methods Eng 18 (2002) 789-801
    • (2002) Commun Numer Methods Eng , vol.18 , pp. 789-801
    • Ramachandran, P.A.1
  • 25
    • 0025385432 scopus 로고
    • Green's function partitioning in Galerkin-base integral solution of the diffusion equation
    • Haji-Sheikh A., and Beck J.V. Green's function partitioning in Galerkin-base integral solution of the diffusion equation. J Heat Transf 112 (1990) 28-34
    • (1990) J Heat Transf , vol.112 , pp. 28-34
    • Haji-Sheikh, A.1    Beck, J.V.2
  • 26
    • 0347317899 scopus 로고    scopus 로고
    • On transient heat conduction in a one-dimensional composite slab
    • Sun Y., and Wichman I.S. On transient heat conduction in a one-dimensional composite slab. Int J Heat Mass Transf 47 (2004) 1555-1559
    • (2004) Int J Heat Mass Transf , vol.47 , pp. 1555-1559
    • Sun, Y.1    Wichman, I.S.2
  • 27
    • 43649087358 scopus 로고    scopus 로고
    • A time-marching MFS scheme for heat conduction problems
    • Valtchev S.S., and Roberty N.C. A time-marching MFS scheme for heat conduction problems. Eng Anal Boundary Elem 32 (2008) 480-493
    • (2008) Eng Anal Boundary Elem , vol.32 , pp. 480-493
    • Valtchev, S.S.1    Roberty, N.C.2
  • 28
    • 0007990310 scopus 로고
    • Wärmeleitung in geschichteten kugel- und zylinderkörpern
    • Vodicka V. Wärmeleitung in geschichteten kugel- und zylinderkörpern. Schweiz Arch 10 (1950) 297-304
    • (1950) Schweiz Arch , vol.10 , pp. 297-304
    • Vodicka, V.1
  • 29
    • 0016369096 scopus 로고
    • On the solution of unsteady heat conduction in multi-region finite media with time-dependent heat transfer coefficient
    • JSME, Tokyo;
    • Yener Y, Özisik MN. On the solution of unsteady heat conduction in multi-region finite media with time-dependent heat transfer coefficient. In: Proceedings of the fifth international heat transfer conference, vol. 1, JSME, Tokyo; 1974. p. 188-92.
    • (1974) Proceedings of the fifth international heat transfer conference , vol.1 , pp. 188-192
    • Yener, Y.1    Özisik, M.N.2


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