View : 182 Download: 0

A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth

Title
A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth
Authors
Lee H.G.Shin J.Lee J.-Y.
Ewha Authors
이준엽이현근신재민
SCOPUS Author ID
이준엽scopus; 이현근scopus; 신재민scopus
Issue Date
2017
Journal Title
Journal of Scientific Computing
ISSN
0885-7474JCR Link
Citation
vol. 71, no. 3, pp. 1303 - 1318
Keywords
Epitaxial thin film growthFourier spectral methodHigh-order accuracyOperator splitting method
Publisher
Springer New York LLC
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this paper, we develop an operator splitting Fourier spectral method for models of epitaxial thin film growth with and without slope selection. A main idea of the method is to split the original equation into linear and nonlinear parts, and then to evolve one step which consists of three substeps. The linear part is solved by the spectral method, which has a closed-form solution in the Fourier space. And the nonlinear part is also solved by the spectral method combined with the Crank–Nicolson type method. We numerically demonstrate that our method achieves spectral accuracy in space and second-order accuracy in time and alleviates restriction on the time step. We also perform long time simulations for the coarsening process to show the capability of the method. © 2017, Springer Science+Business Media New York.
DOI
10.1007/s10915-016-0340-4
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE