Detailed Information

Cited 0 time in webofscience Cited 0 time in scopus
Metadata Downloads

A hybrid FEM for solving the Allen-Cahn equation

Authors
Shin, JaeminPark, Seong-KwanKim, Junseok
Issue Date
1-10월-2014
Publisher
ELSEVIER SCIENCE INC
Keywords
Allen-Cahn equation; Finite element method; Operator splitting method; Unconditionally stable scheme
Citation
APPLIED MATHEMATICS AND COMPUTATION, v.244, pp.606 - 612
Indexed
SCIE
SCOPUS
Journal Title
APPLIED MATHEMATICS AND COMPUTATION
Volume
244
Start Page
606
End Page
612
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/97131
DOI
10.1016/j.amc.2014.07.040
ISSN
0096-3003
Abstract
We present an unconditionally stable hybrid finite element method for solving the Allen-Cahn equation, which describes the temporal evolution of a non-conserved phase-field during the antiphase domain coarsening in a binary mixture. Its various modified forms have been applied to image analysis, motion by mean curvature, crystal growth, topology optimization, and two-phase fluid flows. The hybrid method is based on the operator splitting method. The equation is split into a heat equation and a nonlinear equation. An implicit finite element method is applied to solve the diffusion equation and then the nonlinear equation is solved analytically. Various numerical experiments are presented to confirm the accuracy and efficiency of the method. Our simulation results are consistent with previous theoretical and numerical results. (C) 2014 Elsevier Inc. All rights reserved.
Files in This Item
There are no files associated with this item.
Appears in
Collections
College of Science > Department of Mathematics > 1. Journal Articles

qrcode

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

Related Researcher

Researcher Kim, Jun seok photo

Kim, Jun seok
이과대학 (수학과)
Read more

Altmetrics

Total Views & Downloads

BROWSE