An unconditionally gradient stable numerical method for the Ohta-Kawasaki model

Junseok Kim, Jaemin Shin

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)145-158
Number of pages14
JournalBulletin of the Korean Mathematical Society
Volume54
Issue number1
DOIs
Publication statusPublished - 2017

Fingerprint

Mass Conservation
Numerical Methods
Energy Dissipation
Gradient
Unconditional Stability
Block Copolymers
Hessian matrix
Phase Separation
Difference Method
Solvability
Finite Difference
Model
Numerical Results

Keywords

  • Block-copolymer
  • Ohta-kawasaki model
  • Solvability
  • Unconditionally gradient stability

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

An unconditionally gradient stable numerical method for the Ohta-Kawasaki model. / Kim, Junseok; Shin, Jaemin.

In: Bulletin of the Korean Mathematical Society, Vol. 54, No. 1, 2017, p. 145-158.

Research output: Contribution to journalArticle

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