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AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL

Title
AN UNCONDITIONALLY GRADIENT STABLE NUMERICAL METHOD FOR THE OHTA-KAWASAKI MODEL
Authors
Kim, JunseokShin, Jaemin
Ewha Authors
신재민
SCOPUS Author ID
신재민scopus
Issue Date
2017
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
ISSN
1015-8634JCR Link
Citation
vol. 54, no. 1, pp. 145 - 158
Keywords
block-copolymerOhta Kawasaki modelsolvabilityunconditionally gradient stability
Publisher
KOREAN MATHEMATICAL SOC
Indexed
SCIE; SCOPUS; KCI WOS scopus
Abstract
We present a finite difference method for solving the Ohta Kawasaki model, representing a model of mesoscopic phase separation for the block copolymer. The numerical methods for solving the Ohta Kawasaki model need to inherit the mass conservation and energy dissipation properties. We prove these characteristic properties and solvability and unconditionally gradient stability of the scheme by using Hessian matrices of a discrete functional. We present numerical results that validate the mass conservation, and energy dissipation, and unconditional stability of the method.
DOI
10.4134/BKMS.b150980
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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