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First and second order operator splitting methods for the phase field crystal equation

Title
First and second order operator splitting methods for the phase field crystal equation
Authors
Lee, Hyun GeunShin, JaeminLee, June-Yub
Ewha Authors
이준엽이현근
SCOPUS Author ID
이준엽scopus; 이현근scopus
Issue Date
2015
Journal Title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN
0021-9991JCR Link1090-2716JCR Link
Citation
vol. 299, pp. 82 - 91
Keywords
Phase field crystalOperator splitting methodFirst and second order convergencesFourier spectral method
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In this paper, we present operator splitting methods for solving the phase field crystal equation which is a model for the microstructural evolution of two-phase systems on atomic length and diffusive time scales. A core idea of the methods is to decompose the original equation into linear and nonlinear subequations, in which the linear subequation has a closed-form solution in the Fourier space. We apply a nonlinear Newton-type iterative method to solve the nonlinear subequation at the implicit time level and thus a considerably large time step can be used. By combining these subequations, we achieve the first-and second-order accuracy in time. We present numerical experiments to show the accuracy and efficiency of the proposed methods. (C) 2015 Elsevier Inc. All rights reserved.
DOI
10.1016/j.jcp.2015.06.038
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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