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Volumn 217, Issue 1, 2008, Pages 137-147

A mixed collocation-finite difference method for 3D microscopic heat transport problems

Author keywords

Collocation spectral methods; Finite difference methods; Microscopic heat equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; HEAT TRANSFER; IMAGING SYSTEMS; MATHEMATICAL MODELS; PARTICLE SIZE ANALYSIS; TEMPERATURE DISTRIBUTION; THREE DIMENSIONAL;

EID: 43049093403     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2007.06.023     Document Type: Article
Times cited : (37)

References (23)
  • 3
    • 43049133098 scopus 로고    scopus 로고
    • R.J. Chiffell, On the wave behavior and rate effect of thermal and thermo-mechanical waves, M.Sc. Thesis, University of New Mexico, Albuquerque, 1994.
    • R.J. Chiffell, On the wave behavior and rate effect of thermal and thermo-mechanical waves, M.Sc. Thesis, University of New Mexico, Albuquerque, 1994.
  • 4
    • 0042234530 scopus 로고    scopus 로고
    • A finite difference method for solving the heat transport equation at the microscale
    • Dai W., and Nassar R. A finite difference method for solving the heat transport equation at the microscale. Numer. Methods Partial Differential Equations 15 6 (1999) 697-708
    • (1999) Numer. Methods Partial Differential Equations , vol.15 , Issue.6 , pp. 697-708
    • Dai, W.1    Nassar, R.2
  • 5
    • 0001295744 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
    • Dai W., and Nassar R. A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film. Numer. Methods Partial Differential Equations 16 5 (2000) 441-458
    • (2000) Numer. Methods Partial Differential Equations , vol.16 , Issue.5 , pp. 441-458
    • Dai, W.1    Nassar, R.2
  • 6
    • 0035879146 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale
    • Dai W., and Nassar R. A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale. J. Comput. Appl. Math. 132 2 (2001) 431-441
    • (2001) J. Comput. Appl. Math. , vol.132 , Issue.2 , pp. 431-441
    • Dai, W.1    Nassar, R.2
  • 7
    • 0035068667 scopus 로고    scopus 로고
    • A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness
    • Dai W., and Nassar R. A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness. Internat. J. Numer. Methods Engrg. 50 7 (2001) 1665-1680
    • (2001) Internat. J. Numer. Methods Engrg. , vol.50 , Issue.7 , pp. 1665-1680
    • Dai, W.1    Nassar, R.2
  • 8
    • 0742319155 scopus 로고    scopus 로고
    • An unconditionally stable hybrid FE-FD scheme for solving a 3D heat transport equation in a cylindrical thin film with sub-microscale thickness
    • Dai W., and Nassar R. An unconditionally stable hybrid FE-FD scheme for solving a 3D heat transport equation in a cylindrical thin film with sub-microscale thickness. J. Comput. Appl. Math. 21 5 (2003) 555-568
    • (2003) J. Comput. Appl. Math. , vol.21 , Issue.5 , pp. 555-568
    • Dai, W.1    Nassar, R.2
  • 11
    • 0001947695 scopus 로고
    • Improvements in spectral collocation discretization through a multiple domain technique
    • Macaraeg M.G., and Streett G.L. Improvements in spectral collocation discretization through a multiple domain technique. Appl. Numer. Math. 2 (1986) 95-108
    • (1986) Appl. Numer. Math. , vol.2 , pp. 95-108
    • Macaraeg, M.G.1    Streett, G.L.2
  • 12
    • 21844490120 scopus 로고
    • Pseudospectral collocation methods for fourth-order differential equations
    • Malek A., and Phillips T.N. Pseudospectral collocation methods for fourth-order differential equations. IMA J. Numer. Anal. 15 (1995) 523-553
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 523-553
    • Malek, A.1    Phillips, T.N.2
  • 13
    • 2142758205 scopus 로고    scopus 로고
    • Viscoelastic flow in an undulating tube using spectral methods
    • Momeni-Masuleh S.H., and Phillips T.N. Viscoelastic flow in an undulating tube using spectral methods. Comput. Fluids 33 (2004) 1075-1095
    • (2004) Comput. Fluids , vol.33 , pp. 1075-1095
    • Momeni-Masuleh, S.H.1    Phillips, T.N.2
  • 14
    • 0028039735 scopus 로고
    • On the wave theory in heat conduction
    • Özisik M.N., and Tzou D.Y. On the wave theory in heat conduction. ASME J. Heat Transfer. 116 (1994) 526-536
    • (1994) ASME J. Heat Transfer. , vol.116 , pp. 526-536
    • Özisik, M.N.1    Tzou, D.Y.2
  • 16
    • 85014333979 scopus 로고
    • Heat transfer mechanisms during short-pulse laser heating on metals
    • Qui T.Q., and Tien C.L. Heat transfer mechanisms during short-pulse laser heating on metals. ASME J. Heat Transfer 115 (1993) 835-841
    • (1993) ASME J. Heat Transfer , vol.115 , pp. 835-841
    • Qui, T.Q.1    Tien, C.L.2
  • 17
    • 9144264328 scopus 로고    scopus 로고
    • Navier-Stokes solution by new compact scheme for incompresible flows
    • Sengupta T.K., Guntaka A., and Dey S. Navier-Stokes solution by new compact scheme for incompresible flows. J. Sci. Comput. 21 3 (2004) 269-282
    • (2004) J. Sci. Comput. , vol.21 , Issue.3 , pp. 269-282
    • Sengupta, T.K.1    Guntaka, A.2    Dey, S.3
  • 21
    • 0035508195 scopus 로고    scopus 로고
    • High accuracy stable numerical solution of 1D microscale heat transport equation
    • Zhang J., and Zhao J.J. High accuracy stable numerical solution of 1D microscale heat transport equation. Comm. Numer. Methods Eng. 17 11 (2001) 821-832
    • (2001) Comm. Numer. Methods Eng. , vol.17 , Issue.11 , pp. 821-832
    • Zhang, J.1    Zhao, J.J.2
  • 22
    • 0034849267 scopus 로고    scopus 로고
    • Iterative solution and finite difference approximations to 3D microscale heat transport equation
    • Zhang J., and Zhao J.J. Iterative solution and finite difference approximations to 3D microscale heat transport equation. Math. Comput. Simulation 57 6 (2001) 387-404
    • (2001) Math. Comput. Simulation , vol.57 , Issue.6 , pp. 387-404
    • Zhang, J.1    Zhao, J.J.2
  • 23
    • 0000563677 scopus 로고    scopus 로고
    • Unconditionally stable finite difference scheme and iterative solution of 2D microscale heat transport equation
    • Zhang J., and Zhao J.J. Unconditionally stable finite difference scheme and iterative solution of 2D microscale heat transport equation. J. Comput. Phys. 170 1 (2001) 261-275
    • (2001) J. Comput. Phys. , vol.170 , Issue.1 , pp. 261-275
    • Zhang, J.1    Zhao, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.