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Volumn 35, Issue 4, 1999, Pages 439-459

A new nonlinear solution method for phase-change problems

Author keywords

[No Author keywords available]

Indexed keywords

BINARY ALLOYS; ENTHALPY; HEAT TRANSFER; MATHEMATICAL MODELS; MATRIX ALGEBRA; SOLIDIFICATION; THERMAL EFFECTS;

EID: 0032664948     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/104077999275839     Document Type: Article
Times cited : (30)

References (14)
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    • An Overview of Numerical Methods for Solving Phase Change Problems
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    • Voller, V.R.1
  • 2
    • 0031215085 scopus 로고    scopus 로고
    • Towards a General Numerical Scheme for Solidification Systems
    • C. R. Swaminathan and V. R. Voller, Towards a General Numerical Scheme for Solidification Systems, Int. J. Heat Mass Transfer, vol. 40, p. 2859, 1996.
    • (1996) Int. J. Heat Mass Transfer , vol.40 , pp. 2859
    • Swaminathan, C.R.1    Voller, V.R.2
  • 4
    • 0028671361 scopus 로고
    • Comparison of Standard and Matrix-Free Implementations of Several Newton-Krylov Solvers
    • P. R. McHugh and D. A. Knoll, Comparison of Standard and Matrix-Free Implementations of Several Newton-Krylov Solvers, AIAA J., vol. 32, no. 12, pp. 2394-2400, 1994.
    • (1994) AIAA J. , vol.32 , Issue.12 , pp. 2394-2400
    • McHugh, P.R.1    Knoll, D.A.2
  • 5
    • 0001316458 scopus 로고    scopus 로고
    • Newton-Krylov Methods for Low Mach Number Compressible Combustion
    • D. A. Knoll, P. R. McHugh, and D. E. Keyes, Newton-Krylov Methods for Low Mach Number Compressible Combustion, AIAA J., vol. 34, no. 5, pp. 961-967, 1996.
    • (1996) AIAA J. , vol.34 , Issue.5 , pp. 961-967
    • Knoll, D.A.1    McHugh, P.R.2    Keyes, D.E.3
  • 6
    • 0031117985 scopus 로고    scopus 로고
    • High-Order Scheme Implementation Using Newton-Krylov Solution Methods
    • R. W. Johnson, P. R. McHugh, and D. A. Knoll, High-Order Scheme Implementation Using Newton-Krylov Solution Methods, Numer. Heat Transfer B, vol. 31, pp. 295-312, 1997.
    • (1997) Numer. Heat Transfer B , vol.31 , pp. 295-312
    • Johnson, R.W.1    McHugh, P.R.2    Knoll, D.A.3
  • 7
    • 0008839860 scopus 로고
    • Solution of the Time Discretized Stefan Problem by Newton's Method
    • C. T. Kelly and J. Rulla, Solution of the Time Discretized Stefan Problem by Newton's Method, Nonlinear Anal. Theory Meth. Appl., vol. 14, p. 851, 1990.
    • (1990) Nonlinear Anal. Theory Meth. Appl. , vol.14 , pp. 851
    • Kelly, C.T.1    Rulla, J.2
  • 9
    • 0019579108 scopus 로고
    • Solute Redistribution during Solidification with Rapid State Diffusion
    • T. W. Clyne and W. Kurz, Solute Redistribution during Solidification with Rapid State Diffusion, Metall. Trans. A, vol. 12, p. 965, 1981.
    • (1981) Metall. Trans. A , vol.12 , pp. 965
    • Clyne, T.W.1    Kurz, W.2
  • 10
    • 51249167919 scopus 로고
    • A Multiphase Solute Diffusion Model for Dendritic Solidification
    • C. Y. Wang and C. Beckermann, A Multiphase Solute Diffusion Model for Dendritic Solidification, Metall. Trans. A, vol. 24, p. 2787, 1993.
    • (1993) Metall. Trans. A , vol.24 , pp. 2787
    • Wang, C.Y.1    Beckermann, C.2
  • 13
    • 0000977352 scopus 로고
    • Hybrid Krylov Methods for Nonlinear Systems of Equations
    • P. N. Brown and Y. Saad, Hybrid Krylov Methods for Nonlinear Systems of Equations, SIAM J. Sci. Stat. Comput., vol. 11, pp. 450-481, 1990.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 14
    • 0000048673 scopus 로고
    • GMRES: A Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems
    • Y. Saad and M. H. Schultz, GMRES: A Generalized Minimal Residual Algorithm for Solving Non-symmetric Linear Systems, SIAM J. Sci. Stat. Comput., vol. 7, p. 856, 1986.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.