NL repository
menu
검색
Library
Browse
Communities & Collections
By Date
Authors
Titles
Subject
My Repository
My Account
Receive email updates
Edit Profile
DSpace at EWHA
자연과학대학
수학전공
Journal papers
View : 862 Download: 0
First- and second-order energy stable methods for the modified phase field crystal equation
Title
First- and second-order energy stable methods for the modified phase field crystal equation
Authors
Lee H.G.
;
Shin J.
;
Lee J.-Y.
Ewha Authors
이준엽
;
신재민
SCOPUS Author ID
이준엽
; 신재민
Issue Date
2017
Journal Title
Computer Methods in Applied Mechanics and Engineering
ISSN
0045-7825
Citation
Computer Methods in Applied Mechanics and Engineering vol. 321, pp. 1 - 17
Keywords
Energy stability
;
Fourier spectral method
;
Modified phase field crystal equation
;
Phase field crystal equation
Publisher
Elsevier B.V.
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
The phase field crystal (PFC) model was extended to the modified phase field crystal (MPFC) model, which is a sixth-order nonlinear damped wave equation, to include not only diffusive dynamics but also elastic interactions. In this paper, we present temporally first- and second-order accurate methods for the MPFC equation, which are based on an appropriate splitting of the energy for the PFC equation. And we use the Fourier spectral method for the spatial discretization. The first- and second-order methods are shown analytically to be unconditionally stable with respect to the energy and pseudoenergy of the MPFC equation, respectively. Numerical experiments are presented demonstrating the accuracy and energy stability of the proposed methods. © 2017 Elsevier B.V.
DOI
10.1016/j.cma.2017.03.033
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
Show full item record
Find@EWHA
트윗하기
BROWSE
Communities & Collections
By Date
Authors
Titles
Subject