DOI: 10.1016/s0010-4655(97)00115-x. Applications of semi-implicit Fourier-spectral method to phase field equations

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

10.1016/s0010-4655(97)00115-x

Crossref journal-article

Elsevier BV

Computer Physics Communications (78)

Bibliography

Chen, L. Q., & Shen, J. (1998). Applications of semi-implicit Fourier-spectral method to phase field equations. Computer Physics Communications, 108(2â3), 147â158.

Authors 2

L.Q. Chen (first)
Jie Shen (additional)

References 22 Referenced 987

10.1007/BF03223259 / JOM / Continuum field approach to modeling microstructural evolution by Chen (1996)
{'key': '10.1016/S0010-4655(97)00115-X_bib2', 'series-title': 'Numerical Analysis of Spectral Methods: Theory and Applications', 'author': 'Gottlieb', 'year': '1977'} / Numerical Analysis of Spectral Methods: Theory and Applications by Gottlieb (1977)
{'key': '10.1016/S0010-4655(97)00115-X_bib3', 'series-title': 'Spectral Methods in Fluid Dynamics', 'author': 'Canuto', 'year': '1987'} / Spectral Methods in Fluid Dynamics by Canuto (1987)
{'key': '10.1016/S0010-4655(97)00115-X_bib4', 'first-page': '843', 'article-title': 'Fast spectrally-accurate solution of variable-coefficient elliptic problems', 'volume': '122', 'author': 'Strain', 'year': '1994'} / Fast spectrally-accurate solution of variable-coefficient elliptic problems by Strain (1994)
10.1006/jcph.1995.1191 / J. Comput. Phys. / Spectral methods for nonlinear parabolic systems by Strain (1995)
10.1103/PhysRevB.34.7941 / Phys. Rev. B / Numerical study of the growth kinetics for a langevin equation by Valls (1986)
10.1103/PhysRevB.37.9638 / Phys. Rev. B / Numerical study of the late dsstages of spinodal decomposition by Rogers (1988)
10.1103/PhysRevB.39.4386 / Phys. Rev. B / Lates stages of spinodal decomposition in a three-dimensional model system by Chakrabarti (1989)
10.1016/0956-7151(94)00285-P / Acta Metall. Mater. / Prediction of dendritic growth and microsegregation patterns in a binary alloy using the phase-field method by Warren (1995)
10.1103/PhysRevB.50.15752 / Phys. Rev. B / Computer simulation of the dynamics of a quenched system with large number of non-conserved order parameters by Chen (1994)
{'key': '10.1016/S0010-4655(97)00115-X_bib11', 'series-title': 'Difference Methods for Initial Value Problems', 'author': 'Richtmyer', 'year': '1976'} / Difference Methods for Initial Value Problems by Richtmyer (1976)
10.1016/0956-7151(93)90359-Z / Acta Metall. Mater. / Kinetics of strain-induced morphological transformationin cubic alloys with a miscibility gap by Wang (1995)
10.1111/j.1151-2916.1995.tb08870.x / J. Am. Ceram. Soc. / Possibility of spinodal decomposition in yittria-partially stabilized zirconia(zro2 — y2o3) system — a theoretical investigation by Fan (1995)
10.1179/mst.1990.6.3.273 / Mater. Sci. & Technol. / Kinetics of phase decomposition processes: Numerical soutions to Cahn-Hilliard equation by Copetti (1991)
10.1016/0001-6160(79)90196-2 / Acta Metall. Mater. / A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening by Allen (1979)
{'key': '10.1016/S0010-4655(97)00115-X_bib16', 'series-title': 'Theory of Structural Transformations in Solids', 'author': 'Khachaturyan', 'year': '1983'} / Theory of Structural Transformations in Solids by Khachaturyan (1983)
10.1080/09500839108214618 / Phil. Mag. Lett. / Transformation-induced elastic strain effect on the precipitation kinetics of ordered intermetallics by Chen (1991)
{'key': '10.1016/S0010-4655(97)00115-X_bib18', 'series-title': 'Computer Simulation in Materials Science', 'first-page': '325', 'article-title': 'Modeling of dynamical evolution of micro/mesoscopic morphological patterns in coherent phase transformations', 'author': 'Wang', 'year': '1996'} / Computer Simulation in Materials Science / Modeling of dynamical evolution of micro/mesoscopic morphological patterns in coherent phase transformations by Wang (1996)
10.1137/0915089 / SIAM J. Sci. Comput. / Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials by Shen (1994)
10.1137/0916006 / SIAM J. Sci. Comput. / Efficient spectral-Galerkin method II. Direct solvers for second- and fourth-order equations by using Chebyshev polynomials by Shen (1995)
10.1016/0021-9991(90)90010-X / J. Comput. Phys. / A two-dimensional adaptive pseudo-spectral method by Bayliss (1990)
{'key': '10.1016/S0010-4655(97)00115-X_bib22', 'series-title': 'Mathematics of Microstructure Evolution', 'first-page': '355', 'article-title': 'Structral stability of spinodal decomposition', 'author': 'Oono', 'year': '1996'} / Mathematics of Microstructure Evolution / Structral stability of spinodal decomposition by Oono (1996)

Dates

Type	When
Created	23 years, 1 month ago (July 25, 2002, 10:58 p.m.)
Deposited	6 years, 4 months ago (April 13, 2019, 10:23 p.m.)
Indexed	4 days, 11 hours ago (Sept. 2, 2025, 6:35 a.m.)
Issued	27 years, 7 months ago (Feb. 1, 1998)
Published	27 years, 7 months ago (Feb. 1, 1998)
Published Print	27 years, 7 months ago (Feb. 1, 1998)

Funders 0

None

BibTeX

@article{Chen_1998, title={Applications of semi-implicit Fourier-spectral method to phase field equations}, volume={108}, ISSN={0010-4655}, url={http://dx.doi.org/10.1016/s0010-4655(97)00115-x}, DOI={10.1016/s0010-4655(97)00115-x}, number={2–3}, journal={Computer Physics Communications}, publisher={Elsevier BV}, author={Chen, L.Q. and Shen, Jie}, year={1998}, month=feb, pages={147–158} }

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