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Volumn 108, Issue 2-3, 1998, Pages 147-158

Applications of semi-implicit Fourier-spectral method to phase field equations

Author keywords

Fourier spectral method; Interface motion; Phase field; Semi implicit

Indexed keywords


EID: 0001152970     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(97)00115-x     Document Type: Article
Times cited : (1073)

References (22)
  • 1
    • 0030394052 scopus 로고    scopus 로고
    • Continuum field approach to modeling microstructural evolution
    • L.Q. Chen, Y.Z. Wang, Continuum field approach to modeling microstructural evolution, JOM 48 (1996) 13-18.
    • (1996) JOM , vol.48 , pp. 13-18
    • Chen, L.Q.1    Wang, Y.Z.2
  • 4
    • 0010993087 scopus 로고
    • Fast spectrally-accurate solution of variable-coefficient elliptic problems
    • J. Strain, Fast spectrally-accurate solution of variable-coefficient elliptic problems, Proc. Am. Math. Soc. 122 (1994) 843-850.
    • (1994) Proc. Am. Math. Soc. , vol.122 , pp. 843-850
    • Strain, J.1
  • 5
    • 0041658042 scopus 로고
    • Spectral methods for nonlinear parabolic systems
    • J. Strain, Spectral methods for nonlinear parabolic systems, J. Comput. Phys. 122 (1995) 1-12.
    • (1995) J. Comput. Phys. , vol.122 , pp. 1-12
    • Strain, J.1
  • 6
    • 0005247989 scopus 로고
    • Numerical study of the growth kinetics for a langevin equation
    • O.T. Valls, G.F. Mazenko, Numerical study of the growth kinetics for a langevin equation, Phys. Rev. B 34 (1986) 7941-7950.
    • (1986) Phys. Rev. B , vol.34 , pp. 7941-7950
    • Valls, O.T.1    Mazenko, G.F.2
  • 7
    • 0000254063 scopus 로고
    • Numerical study of the late dsstages of spinodal decomposition
    • T.M. Rogers, K.R. Elder, R.C. Desai, Numerical study of the late dsstages of spinodal decomposition, Phys. Rev. B 37 (1988) 9638-9649.
    • (1988) Phys. Rev. B , vol.37 , pp. 9638-9649
    • Rogers, T.M.1    Elder, K.R.2    Desai, R.C.3
  • 8
    • 24244461360 scopus 로고
    • Lates stages of spinodal decomposition in a three-dimensional model system
    • A. Chakrabarti, R. Toral, J.D. Gunton, Lates stages of spinodal decomposition in a three-dimensional model system, Phys. Rev. B 39 (1989) 4386-4394.
    • (1989) Phys. Rev. B , vol.39 , pp. 4386-4394
    • Chakrabarti, A.1    Toral, R.2    Gunton, J.D.3
  • 9
    • 0029254965 scopus 로고
    • Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method
    • J.A. Warren, W.J. Boettinger, Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method, Acta Metall. Mater. 43 (1995) 689-673.
    • (1995) Acta Metall. Mater. , vol.43 , pp. 689-1673
    • Warren, J.A.1    Boettinger, W.J.2
  • 10
    • 0000478287 scopus 로고
    • Computer simulation of the dynamics of a quenched system with large number of non-conserved order parameters
    • L.Q. Chen, W. Yang, Computer simulation of the dynamics of a quenched system with large number of non-conserved order parameters, Phys. Rev. B 50 (1994) 15752-15756.
    • (1994) Phys. Rev. B , vol.50 , pp. 15752-15756
    • Chen, L.Q.1    Yang, W.2
  • 12
    • 0027188260 scopus 로고
    • Kinetics of strain-induced morphological transformationin cubic alloys with a miscibility gap
    • Y. Wang, L.Q. Chen, A.G. Khachaturyan, Kinetics of strain-induced morphological transformationin cubic alloys with a miscibility gap, Acta Metall. Mater. 41 (1995) 279-296.
    • (1995) Acta Metall. Mater. , vol.41 , pp. 279-296
    • Wang, Y.1    Chen, L.Q.2    Khachaturyan, A.G.3
  • 13
    • 0029327807 scopus 로고
    • 3) system - A theoretical investigation
    • 3) system - a theoretical investigation, J. Am. Ceram. Soc. 78 (1995) 1680-1686.
    • (1995) J. Am. Ceram. Soc. , vol.78 , pp. 1680-1686
    • Fan, D.N.1    Chen, L.Q.2
  • 14
    • 0025404531 scopus 로고
    • Kinetics of phase decomposition processes: Numerical soutions to Cahn-Hilliard equation
    • M.I.M. Copetti, C.M. Elliot, Kinetics of phase decomposition processes: Numerical soutions to Cahn-Hilliard equation, Mater. Sci. & Technol. 6 (1990) 273-283.
    • (1990) Mater. Sci. & Technol. , vol.6 , pp. 273-283
    • Copetti, M.I.M.1    Elliot, C.M.2
  • 15
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • S.M. Allen, J.W. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta Metall. Mater. 27 (1979) 1085-1095.
    • (1979) Acta Metall. Mater. , vol.27 , pp. 1085-1095
    • Allen, S.M.1    Cahn, J.W.2
  • 17
    • 0000895141 scopus 로고
    • Transformation-induced elastic strain effect on the precipitation kinetics of ordered intermetallics
    • L.Q. Chen, Y.Z. Wang, A.G. Khachaturyan, Transformation-induced elastic strain effect on the precipitation kinetics of ordered intermetallics, Phil. Mag. Lett. 64 (1991) 241-251.
    • (1991) Phil. Mag. Lett. , vol.64 , pp. 241-251
    • Chen, L.Q.1    Wang, Y.Z.2    Khachaturyan, A.G.3
  • 18
    • 0000581006 scopus 로고    scopus 로고
    • Modeling of dynamical evolution of micro/mesoscopic morphological patterns in coherent phase transformations
    • H.O. Kirchner et al., eds. Kluwer Academic Publishers, Dordrecht
    • Y.Z. Wang, L.Q. Chen, A.G. Khachaturyan, Modeling of dynamical evolution of micro/mesoscopic morphological patterns in coherent phase transformations, in: Computer Simulation in Materials Science, H.O. Kirchner et al., eds. (Kluwer Academic Publishers, Dordrecht, 1996) pp. 325-371.
    • (1996) Computer Simulation in Materials Science , pp. 325-371
    • Wang, Y.Z.1    Chen, L.Q.2    Khachaturyan, A.G.3
  • 19
    • 0000567049 scopus 로고
    • Efficient spectral-galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials
    • Jie Shen, Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials, SIAM J. Sci. Comput. 15 (1994) 1489-1505.
    • (1994) SIAM J. Sci. Comput. , vol.15 , pp. 1489-1505
    • Shen, J.1
  • 20
    • 0002543392 scopus 로고
    • Efficient spectral-galerkin method II. Direct solvers for second- and fourth-order equations by using Chebyshev polynomials
    • Jie Shen, Efficient spectral-Galerkin method II. Direct solvers for second- and fourth-order equations by using Chebyshev polynomials, SIAM J. Sci. Comput. 16 (1995) 74-87.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 74-87
    • Shen, J.1
  • 21
    • 0011363362 scopus 로고
    • A two-dimensional adaptive pseudo-spectral method
    • A. Bayliss, R. Kuske, B.J. Matkowsky, A two-dimensional adaptive pseudo-spectral method, J. Comput. Phys. 91 (1990) 174-196.
    • (1990) J. Comput. Phys. , vol.91 , pp. 174-196
    • Bayliss, A.1    Kuske, R.2    Matkowsky, B.J.3
  • 22
    • 29444431723 scopus 로고    scopus 로고
    • Structral stability of spinodal decomposition
    • L.Q. Chen, B. Fultz, J.W. Cahn, J.R. Manning, J.E, Morraland, J.A. Simmons, eds. TMS, SIAM, Philadelphia, PA
    • Y. Oono, Structral stability of spinodal decomposition, in: Mathematics of Microstructure Evolution, EMPMD Monograph Series 4, L.Q. Chen, B. Fultz, J.W. Cahn, J.R. Manning, J.E, Morraland, J.A. Simmons, eds. (TMS, SIAM, Philadelphia, PA, 1996) pp. 355-365.
    • (1996) Mathematics of Microstructure Evolution, EMPMD Monograph Series 4 , pp. 355-365
    • Oono, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.